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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