# Study sets matching "geometry 8"

Study sets

Diagrams

Classes

Users

Space

Solid

Isometric drawing

Net

An undefined term thought of as the set of all points. Space e…

A three-dimensional geometric figure that completely encloses…

A drawing of a three-dimensional object that shows three faces…

A two-dimensional pattern that can be folded to form a three-d…

Space

An undefined term thought of as the set of all points. Space e…

Solid

A three-dimensional geometric figure that completely encloses…

adjacent angles

alternate exterior angles

alternate interior angles

supplementary angles

side by side angles that share a common vertex and a ray

angles that lie outside a pair of parallel lines and on opposi…

Angles that lie within a pair of parallel lines and on opposit…

Angles that add to 180 degrees (can be adjacent or non-adjacen…

adjacent angles

side by side angles that share a common vertex and a ray

alternate exterior angles

angles that lie outside a pair of parallel lines and on opposi…

Pythagorean Theorem

Converse of the Pythagorean Theorem

45-45-90 Triangle Theorem

30-60-90 Triangle Theorem

If a triangle is a right triangle, then the sum of the squares…

If the sum of the squares of the lengths of two sides of a tri…

In a 45-45-90 triangle, the legs are congruent and the length…

In a 30-60-90 triangle, the length of the hypotenuse is twice…

Pythagorean Theorem

If a triangle is a right triangle, then the sum of the squares…

Converse of the Pythagorean Theorem

If the sum of the squares of the lengths of two sides of a tri…

circumcenter

incenter

centroid

orthocenter

the point of concurrency of the perpendicular bisectors of a t…

the point of concurrency of the angle bisectors of a triangle

point of concurrency of the medians of a triangle

point of concurrency of the altitudes of a triangle

circumcenter

the point of concurrency of the perpendicular bisectors of a t…

incenter

the point of concurrency of the angle bisectors of a triangle

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

Equilateral triangle

Isosceles triangle

Scalene triangle

Right angle triangle

All sides equal, interior angles 60°

2 sides equal, 2 congruent angles (opposite angles equal)

No sides or angles equal

1 right angle 90°

Equilateral triangle

All sides equal, interior angles 60°

Isosceles triangle

2 sides equal, 2 congruent angles (opposite angles equal)

Pythagorean Theorem

Converse of the Pythagorean Theorem

A triangle is obtuse if

A triangle is acute if

a^2 + b^2 = c^2 in a right triangle

If a^2 + b^2 = c^2, then the triangle is a right triangle.

c^2 > a^2 + b^2

c^2 < a^2 + b^2

Pythagorean Theorem

a^2 + b^2 = c^2 in a right triangle

Converse of the Pythagorean Theorem

If a^2 + b^2 = c^2, then the triangle is a right triangle.

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…

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…

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…

Geometry

Point

Line

Plane

The study of earth measure.

Has location, but no size.

A straight, continuous arrangement of infinitely many points.…

Has length and width but no thickness. It is a flat surface th…

Geometry

The study of earth measure.

Point

Has location, but no size.

Opp. Sides are ||

Opp. Sides are congruent

Opp. Angles are congruent

A diagonal form two congruent triangles

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Opp. Sides are ||

Parallelogram, rectangle, rhombus, square

Opp. Sides are congruent

Parallelogram, rectangle, rhombus, square

Space

Cone

Cylinder

Pyramid with a square base

the set of all points. Cannot be contained in a flat surface l…

Has a circular base and sides that rise to a point.

Has 2 circular bases.

A square base that has sides that meet at a point.

Space

the set of all points. Cannot be contained in a flat surface l…

Cone

Has a circular base and sides that rise to a point.

area

volume

base

circle

The number of square units needed to cover a given surface.

The amount a container can hold when filled.

A side of a polygon; a face of a 3-D figure by which a figure…

The set of all points in a plane that are the same distance fr…

area

The number of square units needed to cover a given surface.

volume

The amount a container can hold when filled.

space

solid

isometric drawing

net

An undefined term thought of as the set of all points. Space e…

A three-dimensional geometric figure that completely encloses…

A drawing of three-dimensional object that shows three faces i…

A two-dimensional pattern that can be folded to form a three-d…

space

An undefined term thought of as the set of all points. Space e…

solid

A three-dimensional geometric figure that completely encloses…

Segment addition postulate

Angle addition postulate

there is exactly one line

there is at least one plane

If B is between A and C, then AB + BC = AC.

If point B lies in the interior of angle AOC, then measurement…

Through any two points,

Through any three points,

Segment addition postulate

If B is between A and C, then AB + BC = AC.

Angle addition postulate

If point B lies in the interior of angle AOC, then measurement…

angle of depression

angle of elevation

Cosine

Law of Cosine

The angle formed by a horizontal line and the line of sight to…

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

The ratio of the adjacent side of an angle to the hypotenuse o…

a²=b²+c²-2bcCosA

angle of depression

The angle formed by a horizontal line and the line of sight to…

angle of elevation

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

corresponding parts of similar polygons

corresponding lengths in similar polygo…

perimeters of similar polygons

areas of similar polygons

a similarity transformation preserves angle measure. It also e…

if two polygons are similar, then the ratio of any two corresp…

if two polygons are similar, then the ratio of their perimeter…

if two polygons are similar, then the ratio of their areas is…

corresponding parts of similar polygons

a similarity transformation preserves angle measure. It also e…

corresponding lengths in similar polygo…

if two polygons are similar, then the ratio of any two corresp…

circumference

diameter

radius

plus

the distance around a circle

the distance across a circle that goes through the centre

a straight line from the centre to the circumference of a circ…

+

circumference

the distance around a circle

diameter

the distance across a circle that goes through the centre

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…

Geometric mean

Pythagorean triple

Trigonometry

Trigonometric ratio

The positive square root of the product of 2 numbers

A set of three nonzero whole numbers a,b, and c such that sum…

Invovles triangle measure

the ratio of the length of two sides of a right triangle

Geometric mean

The positive square root of the product of 2 numbers

Pythagorean triple

A set of three nonzero whole numbers a,b, and c such that sum…