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