# Study sets matching "geometry 8"

Regular Polygons

Opposite Angles

Consecutive Angles

Exterior Angles

polygons that are both equilateral and equiangular

non-consecutive vertices

non-opposite vertices

when the sides of a polygon are extended, the angles that are…

Regular Polygons

polygons that are both equilateral and equiangular

Opposite Angles

non-consecutive vertices

line and plane are perpendicular

Basic thm on perpendiculars

through a given point of a given line t…

Perpendicular bisecting plane thm

if they intersect and every line in the plane is perpendicular…

if a line is perpendicular to each of two intersecting lines a…

Perpendicular bisecting plane is set of all points equivalent…

line and plane are perpendicular

if they intersect and every line in the plane is perpendicular…

Basic thm on perpendiculars

if a line is perpendicular to each of two intersecting lines a…

Perimeter

Area

Perimeter - Square

Area - Square

The sum of the lengths of the sides of a polygon. (P)

The number of square units a polygon encloses. (A)

Side length is s, P=4s

Side length is s, A=s²

Perimeter

The sum of the lengths of the sides of a polygon. (P)

Area

The number of square units a polygon encloses. (A)

Ratio of a to b

Proportion

Extremes

Means

If a and b are to quantities that are measured in the same uni…

An equation that equates two ratios.

In proportion a/b=c/d, they are a and d.

In proportion a/b=c/d, they are b and c.

Ratio of a to b

If a and b are to quantities that are measured in the same uni…

Proportion

An equation that equates two ratios.

Quadrilateral

Parallelogram

Rhombus

Rectangle

Any four sided shape.

Diagonals that bisect each other.

Diagonals are perpendicular and bisect angles.

Diagonals that are congruent.

Quadrilateral

Any four sided shape.

Parallelogram

Diagonals that bisect each other.

Pythagorean Theorem

Pythagorean Triple

30-60-90 triangle

45-45-90 triangle

a set of nonzero whole numbers that satisfy the Pythagorean th…

Pythagorean Theorem

Pythagorean Triple

a set of nonzero whole numbers that satisfy the Pythagorean th…

SLOPE.... Define.

RATE OF CHANGE... What is a synonym for ra…

SLOPE-INTERCEPT FORM... What is the equati…

POINT-SLOPE FORM... What is the equation a…

The steepness of a graph line; the ratio of the vertical chang…

slope

SLOPE.... Define.

The steepness of a graph line; the ratio of the vertical chang…

RATE OF CHANGE... What is a synonym for ra…

slope

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon w…

a two-dimensional closed figure of three or more line segments…

when a triangle has an exterior angles, these angles are the t…

the ratio of similarity. the ratio of any pair of correspondin…

radius (regular polygon)

a line segment that connects the center of a regular polygon w…

polygon

a two-dimensional closed figure of three or more line segments…

radius (regular polygon)

polygon

remote interior angles

linear scale factor

a line segment that connects the center of a regular polygon w…

a two-dimensional closed figure of three or more line segments…

when a triangle has an exterior angles, these angles are the t…

the ratio of similarity. the ratio of any pair of correspondin…

radius (regular polygon)

a line segment that connects the center of a regular polygon w…

polygon

a two-dimensional closed figure of three or more line segments…

reflection

line of reflection

pre image

image

A transformation that "flips" a figure over a mirror or line.

A line that a figure is flipped across to create a mirror imag…

The original geometric figure

figure after a reflection

reflection

A transformation that "flips" a figure over a mirror or line.

line of reflection

A line that a figure is flipped across to create a mirror imag…

Geometric Mean

Triangle Hypotenuse Altitude Theorem

Geometric Mean (Altitude) Theorem

Geometric Mean (Leg) Theorem

The positive root of the product of two numbers

If the altitude is drawn to the hypotenuse of a right triangle…

The altitude drawn to the hypotenuse of a right triangle separ…

The altitude drawn to the hypotenuse of a right triangle separ…

Geometric Mean

The positive root of the product of two numbers

Triangle Hypotenuse Altitude Theorem

If the altitude is drawn to the hypotenuse of a right triangle…

angle of depression

angle of elevation

cosine

Pythagorean triple

the angle formed by a horizontal line and the line of site to…

the angle formed by a horizontal line and the line of site to…

a set of nonzero whole numbers a, b, and c that satisfy the Py…

angle of depression

the angle formed by a horizontal line and the line of site to…

angle of elevation

the angle formed by a horizontal line and the line of site to…

Transformation

Translation

Reflection

Dilation

The movement of a geometric figure

A slide of the figure

A transformation that "flips" a figure over a mirror or reflec…

A transformation that changes the size of an object, but not t…

Transformation

The movement of a geometric figure

Translation

A slide of the figure

Corresponding, proportional

Congruent, sides

Midsegment

Parallel, half

If the lengths of the _____ sides of two triangles are _____,…

If an angle of one triangle is ____ to an angle of a second tr…

A segment that connects the midpoints of two sides of a triang…

The segments containing the midpoints of two sides of a triang…

Corresponding, proportional

If the lengths of the _____ sides of two triangles are _____,…

Congruent, sides

If an angle of one triangle is ____ to an angle of a second tr…

Proportion

proportion 1

proportion 2

proportion 3

setting 2 fractions equal to eachother

setting cross products equal to eachother

rearranging or flipping the fraction and then setting them equ…

making the numerators a fraction and the denominators a fracti…

Proportion

setting 2 fractions equal to eachother

proportion 1

setting cross products equal to eachother

Diagonal

Endpoint

Midpoint

Distance formula

A line segment that connects two nonconsecutive vertices of a…

A point at the end of a ray, either end of a line segment, or…

The point halfway between the endpoints of a line segment

The formula that gives the distance between two points on a co…

Diagonal

A line segment that connects two nonconsecutive vertices of a…

Endpoint

A point at the end of a ray, either end of a line segment, or…

quadrilateral

equilateral

equiangular

regular

4-sided polygon

all sides are congruent

all angles are congruent

equilateral and equiangular

quadrilateral

4-sided polygon

equilateral

all sides are congruent

altitude of a triangle

centroid of a triangle

circumcenter of a triangle

circumscribed circle

a perpendicular segment from a vertex to the line containing t…

the point of concurrency of the three medians of a triangle; a…

the point of concurrency of the three perpendicular bisectors…

every vertex of the polygon lies on the circle

altitude of a triangle

a perpendicular segment from a vertex to the line containing t…

centroid of a triangle

the point of concurrency of the three medians of a triangle; a…

Angle

Ray

Complementary Angles

Supplementary Angles

The union of two rays with a common endpoint called the vertex.

Part of a line with one endpoint. It extends indefinitely in o…

The sum of two angles is 90 degrees.

The sum of two angles is 180 degrees.

Angle

The union of two rays with a common endpoint called the vertex.

Ray

Part of a line with one endpoint. It extends indefinitely in o…

point

a set of points

plane

congruent

a geometric element that has zero dimensions

a set of points that creates a shape

a flat surface

Having the same size and shape

point

a geometric element that has zero dimensions

a set of points

a set of points that creates a shape

median of a triangle

altitude of a triangle

perpendicular bisector

angle bisector

a segment whose endpoints are a vertex and the midpoint of the…

A perpendicular segment from a vertex to the line containing t…

a segment, ray, line, or plane that is perpendicular to a segm…

a ray that divides an angle into two congruent angles

median of a triangle

a segment whose endpoints are a vertex and the midpoint of the…

altitude of a triangle

A perpendicular segment from a vertex to the line containing t…