Geometry Vocab-BHS1
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| The answer to an addition problem. | Sum
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| The solution to a subtraction problem. | Difference
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| The answer to a multiplication problem. | Product
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| The solution to a division problem. | Quotient
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| A letter or symbol that represents a number. | Variable
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| The number in front of a variable. | Coefficient
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| A fixed value that does not change. | Constant
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| To put all like terms in a mathematical sentence together. | Simplify
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| A mathematical sentence without equal signs. | Expression
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| Rules followed to simplify expressions in the proper sequence. | Order of Operations
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| To find an answer to a particular problem. | Solve
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| A mathematical sentence with an equal sign. | Equation
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| An equation with at most one solution. | Linear
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| An equation with at most two solutions which given ax^2+bx+c=0 can use the formula x = (-b +- sqrt(b^2 - 4ac)/(2a) | Quadratic
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| A number that when multiplied by itself equals a given number. | Square Root
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| A number form that uses various roots of a number. | Radical
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| A set of equations with two or more variables. | System of Equations
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| A place having no size. | Point
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| A straight path formed by at least two points extending forever. | Line
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| A flat surface that has no thickness and extends forever. | Plane
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| Points that lie on the same line. | Collinear
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| Points that lie in the same plane. | Coplanar
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| Part of a line with two endpoints. | Segment
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| Part of a line with one endpoint extending forever in one direction. | Ray
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| Two rays with a common endpoint that form a line. | Opposite Rays
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| A statement that is accepted as true without proof. | Postulate
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| A common set of points between figures. | Intersection
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| The distance a point is from zero. | Absolute Value
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| The length of a segment between two points on the coordinate plane can use the formula sqrt((x1-x2)^2 + (y1-y2)^2) | Distance
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| An instrument used to measure length. | Ruler
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| Having the same shape and size. | Congruent
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| A method of creating a figure using a compass and a straight edge. | Construction
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| An instrument used to create arcs and circles. | Compass
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| Given B on a line between A and C, it's the property allowing AB+ BC= AC | Segment Addition
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| A point that divides a segment into two equal segments which on the coordinate plane can use the formula ((x1+x2)/2, (y1+y2)/2) | Midpoint
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| A line,segment, or ray that divides a segment into two equal parts. | Segment Bisector
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| A figure formed by two rays with a common endpoint. | Angle
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| The rays that make up an angle or the segments that form a polygon. | Sides
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| The common endpoint of the sides of an angle, the intersection of the sides of a polygon, or the intersection of the faces of a solid. | Vertex
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| The set of points within a geometric figure. | Interior
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| The set of points outside a geometric figure. | Exterior
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| The unit used in measuring angles in which one is equal to 1/360th of a circle. | degrees
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| An angle that measures less than 90 degrees or a triangle whose angles are all less than 90 degrees. | Acute
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| An angle that measures 90 degrees or a triangle with one angle that measures 90 degrees. | Right
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| An angle that measures between 90 degrees and 180 degrees or a triangle with one angle between 90 degrees and 180 degrees. | Obtuse
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| An angle that measures 180 degrees. | Straight
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| An instrument used to measure angles. | Protractor
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| Given D on the interior of angle ABC, it's the property allowing the measure of angle ABD + the measure of angle DBC = the measure of angle ABC. | Angle Addition
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| A line,segment, or ray that divides an angle into two equal parts. | Angle Bisector
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| Angles that share a side and have a common vertex. | Adjacent Angles
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| Two or more angles that add up to 90 degrees. | Complementary Angles
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| Two or more angles that add up to 180 degrees. | Supplementary Angles
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| Nonadjacent angles formed by two intersecting lines. | Vertical Angles
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| The distance around a polygon. | Perimeter
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| The space inside a two-dimensional figure. | Area
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| A side that forms a right angle it the height of a figure, the parallel sides of a trapezoid, the circular faces of a cylinder or cone, et al. | Base
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| A segment that forms a right angle with the base of a figure. | Height
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| A segment containing the center whose endpoints are on the circle. | Diameter
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| A segment in a circle with one endpoint on the circle and one endpoint at the center. | Radius
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| The distance around a circle. | Circumference
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| The ratio of the circumference of a circle to its diameter whose irrational value is close to 3.14. | Pi
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| The horizontal number line on the coordinate plane. | X-axis
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| The vertical number line on the coordinate plane. | Y-axis
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| The intersection of the horizontal and vertical number lines on the coordinate plane. | Origin
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| A pair of the numbers that name a specific location on the coordinate plane. | Ordered Pair
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| One of the four sections on the coordinate plane. | Quadrant
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| The sides that form the right angle in a right triangle, the congruent sides in an isosceles triangle, or the nonparallel sides in a trapezoid. | Leg
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| The side opposite the right angle in a right triangle. | Hypotenuse
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| A statement that can be proven. | Theorem
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| A rule used to prove three segment lengths make a right triangle or a^2 + b^2 = c^2. | Pythagorean Theorem
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| A change in the position, size, or shape of a figure. | Transformation
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| An original figure that is mapped or moved to create a new figure. | Preimage
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| A new figure that has been mapped or moved from an original figure. | Image
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| A transformation over a line such that a point in the preimage and its corresponding point in the image is the same distance to the line. | Reflection
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| A transformation about a point such that each preimage and its image are the same distance from the point. | Rotation
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| A transformation that shifts or slides every point of a figure the same distance and direction. | Translation
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| Reasoning in which the conclusion is based on past observations. | Inductive
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| A statement that is believed to be true. | Conjecture
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| A sequence of numbers where each number is the sum of two previous numbers: 1,1,2,3,5,8.... | Fibonacci Sequence
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| A case that proves a conditional false. | Counterexample
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| A triangular arrangement of numbers in which each number in a row is the sum of the two numbers directly above it. | Pascal's Triangle
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| An if-then statement. | Conditional
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| The first part or "if" of a conditional. | Hypothesis
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| The second part or "then" of a conditional. | Conclusion
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| A conditional formed by interchanging the hypothesis and the conclusion. | Converse
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| Reasoning in which the process of using logic is used to prove things. | Deductive
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| A formal series of statements and reasons used to show something is true. | Proof
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| The property shown if a-b=c, then a=c+b | Addition
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| The property shown if a+b=c, then a=c-b. | Subtraction
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| The property shown if a=b, then ac=bc. | Multiplication
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| The property shown if ac+bc=dc, then a+b=d. | Division
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| The property shown if a=b, then b can be used for a in any expression. | Substitution
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| The property shown in the equation a(b+c)=ab+ac. | Distributive
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| The property shown if b=b, then b=b. | Reflexive
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| The property shown if c=f, then f=c. | Symmetric
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| The property shown if a=b and b=d, then a=d. | Transitive
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| Lines in the same plane that never will cross. | Parallel
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| Lines that intersect to form right angles. | Perpendicular
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| Lines in different planes that never cross. | Skew
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| A line that intersects two or more other lines. | Transversal
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| Given two lines and a transversal, a pair of angles that lie on the same side of the transversal and on the same sides of the other two lines. | Corresponding Angles
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| Given two lines and a transversal, a pair of nonadjacent angles that lie on opposite sides of a transversal between the other two lines. | Alternate Interior Angles
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| Given two lines and a transversal, a pair of angles that lie on the opposite sides of the transversal and outside the other two lines. | Alternate Exterior Angles
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| Given two lines and a transversal, a pair of angles that lie on the same side of the transversal and between the other two lines. | Same-Side Interior Angles
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| A line that forms a right angle to a segment at the segment's midpoint. | Perpendicular Bisector
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| The different in the y-values of two points on a line. | Rise
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| The difference in the x-values of two points on a line. | Run
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| The rate of change or the rise over the run of a line represented by (y1 - y2)/(x1 - x2). | Slope
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| The place where a line crosses the y-axis. | Y-Intercept
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| An equation of a line in the form y=mx+b | Slope-Intercept Form
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| A polygon with three sides. | triangle
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| A triangle with all congruent angles. | equiangular
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| a triangle with all congruent sides. | equilateral
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| A triangle with two congruent sides and angles. | isosceles
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| A triangle with no congruent sides and angles. | scalene
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| An acronym standing for corresponding parts of congruent triangles are congruent. | CPCTC
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| The same distance between two or more objects. | equidistant
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| A set of points that satisfies a given condition. | locus
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| Three or more lines that intersect at one point. | concurrent
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| The intersection point of the perpendicular bisectors of a triangle. | circumcenter
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| To draw around a figure. | circumscribe
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| To draw inside a figure. | inscribe
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| The intersection point of the angle bisectors of a triangle. | incenter
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| A segment whose endpoints are a vertex of the triangle and the opposite side's midpoints. | median
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| The intersection point of medians of a triangle. | centroid
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| A segment from a vertex of a triangle perpendicular to the opposite side. | altitude
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| The intersection fpoint of the altitudes of a triangle. | orthocenter
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| The line that connects the orthocenter, the circumcenter, and the centroid in a triangle. | Euler line
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| A segment that joins the midpoints of two sides of a triangle or the midpoints of the two legs of a trapezoid. | midsegment
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| A mathematical statement showing two unequal values using symbols such as <,<,>,>, or not equal. | inequality
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| Three numbers that when used as lengths will create a right triangle. | Pythagorean Triples
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| Any geometric figure with sides. | polygon
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| A segment connecting two nonconsecutive vertices of a polygon | diagonal
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| A four-sided figure. | quadrilateral
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| A five-sided figure. | pentagon
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| A six-sided figure. | hexagon
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| A seven-sided figure. | heptagon
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| An eight-sided figure. | octagon
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| A nine-sided figure. | nonagon
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| A ten-sided figure. | decagon
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| A polygon whose sides and angles are congruent. | regular
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| A type of polygon whose sides stay outward. | concave
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| A type of polygon whose sides come inward. | convex
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| All quadrilaterals with both pairs of opposite sides parallel. | parallelogram
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| Any quadrilateral with two pair of opposite sides equal and parallel thus forming all right angles. | rectangle
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| Any quadrilateral with all equal sides whose angles aren't always the same. | rhombus
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| Any quadrilateral with four equal sides and four right angles. | square
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| A quadrilateral with exactly two pairs of congruent consecutive sides. | kite
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| A quadrilateral with only one pair of parallel sides. | trapezoid
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| A comparison of two numbers. | ratio
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| A comparison of two ratios. | proportion
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| The divine proportion sometimes referred to as Phi which is approximately 1.618 originating from ratios of line segments. | Golden Ratio
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| Figures that are the same shape but not necessarily the same size (~). | similar
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| A ratio used to change one figure into a similar figure. | scale factor
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| A transformation that changes the size of a figure but not its shape. | dilation
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| A positive number 'x' that satisfies a/x = x/b. | geometric mean
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| The study of right triangle measurements and ratios. | trigonometry
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| The trigonometry ratios for an angle made up of the ratio of the opposite side and the hypotenuse. | sine
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| The trigonometry ratio for an angle made up of the ratio of the adjacent side and the hypotenuse. | cosine
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| The trigonometry ratio for an angle made up of the ratio of the opposite side and the adjacent side. | tangent
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| The acronym used to identify the basic trigonometry ratios. | SOHCAHTOA
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| An angle formed from one's line of sight to a point above that line of sight. | angle of elevation
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| An angle formed from one's line of sight to a point below that line of sight. | angle of depression
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| A quantity that shows both distance and direction. | vector
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| The starting point of a vector. | initial point
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| The endpoint of a vector. | terminal point
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| The length of a vector. | magnitude
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| The perpendicular distance from the center of a polygon to a side. | apothem
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| An angle whose vertex is at the center of a circle or regular polygon. | central angle
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| A figure made up of various two-dimensional shapes. | composite figure
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| A measure of how likely an event is to occur. | probability
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| A flat surface of a polyhedron. | face
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| A segment that is the intersection of the flat surfaces of a polyhedron. | edge
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| A geometric solid with six equal square faces. | cube
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| A geometric solid with two congruent parallel polygonal bases. | prism
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| A geometric solid with two congruent parallel circular bases. | cylinder
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| A geometric solid coming to a point with a polygonal base. | pyramid
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| A geometric solid coming to a point having one circular base. | cone
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| A two-dimensional representation that can be folded to make a geometric solid. | polyhedron
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| A collection of all points in three-dimensions. | space
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| The amount of material needed to make the outside of a geometric solid. | surface area
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| The distance from a vertex of a geometric solid to the edge of the base. | slant height
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| The amount of space inside a geometric solid. | volume
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| A geometric solid made entirely of circles where each point on it is the same distance to the center. | sphere
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| Half of a sphere. | hemisphere
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| A set of all points equidistant from one point whose equation resembles (x - a)^2 + (y - b)^2 = r^2 | circle
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| The point inside a circle that is the same distance to every point on a circle. | center
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| A segment whose endpoints lie on the circle. | chord
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| A line containing a chord that intersects a circle at two points. | secant
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| A line that intersects a circle in exactly one point. | tangent line
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| The place of intersection of a circle and a tangent line. | point of tangency
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| A line tangent to two circles. | common tangents
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| Circles that share the same center. | concentric
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| Two circles that intersect at exactly one point. | tangent circles
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| An arc that measures less than 180 degrees. | minor arc
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| An arc that measures more than 180 degrees. | major arc
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| An arc that has a measure equal to 180 degrees. | semicircle
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| An angle whose vertex is on a circle whose sides are chords. | inscribed angle
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| A region inside a circle bounded by two radii of the circle and an arc. | sector
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| A two-dimensional representation that can be folded to make a geometric solid (3-D). | net
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