# Study sets matching "geometry chapter 6"

Study sets

Diagrams

Classes

Users

Proportions

Cross products property

Reciprocal property of proportions

Scale drawing

An equation that states that two ratios are equal

In a proportion, the product of the extremes equals the produc…

If two ratios are equal, then their reciprocals are also equal

A drawing that is the same shape as the object it represents

Proportions

An equation that states that two ratios are equal

Cross products property

In a proportion, the product of the extremes equals the produc…

polygon

quadrilaterals

trapezoid

parallelograms

a closed figure formed from line segments that intersect only…

a polygon with four sides and four angles

a quadrilateral with one pair of parallel sides

a quadrilateral with two pairs of parallel opposite sides

polygon

a closed figure formed from line segments that intersect only…

quadrilaterals

a polygon with four sides and four angles

Each pair of angles adjacent to a base.

The two parallel sides of a trapezoid.

Angles of a polygon that share a common…

A polygon whose angles are all equal or…

Base Angles of a Trapezoid

Base of a Trapezoid

Consecutive Angles

Equiangular Polygon

Each pair of angles adjacent to a base.

Base Angles of a Trapezoid

The two parallel sides of a trapezoid.

Base of a Trapezoid

Acute Angle

Adjacent Angles

Base of a Parallelogram

Base of a Triangle

Between 0 degrees and 90 degrees

Share a vertex and a side but have no interior points in commo…

The two parallel sides of a parallelogram.

Any side of a triangle.

Acute Angle

Between 0 degrees and 90 degrees

Adjacent Angles

Share a vertex and a side but have no interior points in commo…

Rectangle

Rhombus

Square

Parallelogram

A parallelogram that has 4 right angles... - opposite sides paral…

A parallelogram that has 4 congruent sides... - opposite sides pa…

A parallelogram with 4 congruent sides and 4 congruent angles…

A quadrilateral with opposite sides parallel

Rectangle

A parallelogram that has 4 right angles... - opposite sides paral…

Rhombus

A parallelogram that has 4 congruent sides... - opposite sides pa…

Cross products

Extremes

Fractal

Iteration

In the proportion A over B equals C over D, where B doesn't eq…

In A over B equals C over D, the numbers A & D

A figure generated by repeating a special sequence of steps in…

A process of repeating the same procedure over and over again

Cross products

In the proportion A over B equals C over D, where B doesn't eq…

Extremes

In A over B equals C over D, the numbers A & D

side of the polygon

vertex of the polygon

diagonal

regular polygon

each segment that forms a polygon

common endpoint of two sides

a segment that connects any two nonconsecutive vertices

both equilateral and equiangular

side of the polygon

each segment that forms a polygon

vertex of the polygon

common endpoint of two sides

Both pairs of opposite sides are parall…

One pair of opposite ides are parallel

Neither pair of opposite sides are para…

Properties of a Parallelogram

parallelogram, rectangle, rhombus,square

trapezoid, isosceles trapezoid

kite

-both pairs of opposite sides are parallel (def.)... - both pairs…

Both pairs of opposite sides are parall…

parallelogram, rectangle, rhombus,square

One pair of opposite ides are parallel

trapezoid, isosceles trapezoid

Bases

Diagonal

Legs

Median

The parallel sides of a trapezoid.

The line segment that connects the opposite vertex angles in a…

The non-parallel sides of a trapezoid.

The line segment that connects the midpoints of legs of a trap…

Bases

The parallel sides of a trapezoid.

Diagonal

The line segment that connects the opposite vertex angles in a…

Polygon angle-sum theorem

Equilateral polygon

Equianlgular polygon

Regular polygon

The sum of the measures of the interior angles of an n-gon is…

All sides are congruent

All angles are congruent

All sides and angles are congruent

Polygon angle-sum theorem

The sum of the measures of the interior angles of an n-gon is…

Equilateral polygon

All sides are congruent

Diagonal

Convex polygon

Polygon jnteriror angle sum

Polygin exterior

Segment that connects any 2 nonconsecuative vertices

A polygon for which there is no line that contains both of the…

The sum of the interior angle measures of a n-side convex poly…

Sum of the exterior angle measures of a convex polygon, one an…

Diagonal

Segment that connects any 2 nonconsecuative vertices

Convex polygon

A polygon for which there is no line that contains both of the…

similar triangles

side-side-side similarity theorem

angle-angle similarity theorem

side- angle- side similarity theorem

triangles that have all pairs of corresponding angles congruen…

when all 3 corresponding sides of two triangles are proportion…

when two angles of one triangle are congruent to two angles of…

two of the corresponding sides of two triangles are proportion…

similar triangles

triangles that have all pairs of corresponding angles congruen…

side-side-side similarity theorem

when all 3 corresponding sides of two triangles are proportion…

Diagonal

Parallelogram

Rectangle

Rhombus

A segment that connects any 2 non consecutive vertices

A quadrilateral with both parts of opposite sides parallel

A parallelogram with 4 right angles

A parallelogram with all 4 sides congruent

Diagonal

A segment that connects any 2 non consecutive vertices

Parallelogram

A quadrilateral with both parts of opposite sides parallel

Parallelogram

Opposite sides theorem

Opposite angles theorem

Consecutive angles theorem

4-sided quadrilateral with 2 pairs of parallel sides

In a parallelogram, the 2 pairs of parallel sides are also con…

In a parallelogram, the 2 pairs of non-consecutive angles are…

In a parallelogram, consecutive angles are supplementary

Parallelogram

4-sided quadrilateral with 2 pairs of parallel sides

Opposite sides theorem

In a parallelogram, the 2 pairs of parallel sides are also con…

coplanar lines

angle

conjecture

vertex

lines that lie on the same plane

consists of two rays with the same endpoint

an unproven statement that is based on a pattern or observatio…

the endpoint of the angle

coplanar lines

lines that lie on the same plane

angle

consists of two rays with the same endpoint

Rhombus

Equilaterak parallelogram

Equiangular polygon

Regular polygon

A parallelogram with four congruent sides

A polygon with all sides congruent

A polygon with all congruent angles

A polygon that is both equilateral and equiangular

Rhombus

A parallelogram with four congruent sides

Equilaterak parallelogram

A polygon with all sides congruent

circumcenter theorm

centroid theorm

orthocenter theorm

incenter therom

the equadistance form the vertices of the triangles

is two thirds or one third of the distance form each vertex to…

the instersection of all the altitudes in a triangle

is equal distance from the sides of a triangle

circumcenter theorm

the equadistance form the vertices of the triangles

centroid theorm

is two thirds or one third of the distance form each vertex to…

Vertex Angle in a triangle

Isosceles Triangle symmetry theorem

Altitude of the triangle

Median of the triangle

Angle determined by congruent sides in isosceles triangle

The line containing the bisector of the vertex angle of an iso…

Segment from a vertex perpendicular to the line containing the…

Segment connecting a vertex to the midpoint of the opposite si…

Vertex Angle in a triangle

Angle determined by congruent sides in isosceles triangle

Isosceles Triangle symmetry theorem

The line containing the bisector of the vertex angle of an iso…

polygon

concave polygon

convex polygon

equilateral polygon

a closed figure in a single plane formed by three or more segm…

continued sides intersect eachother

continued sides do not intersect

all sides are congruent

polygon

a closed figure in a single plane formed by three or more segm…

concave polygon

continued sides intersect eachother

Regular

Convex

Are right angles convex or concave?

Concave

All angles are equal and all sides are congruent

Angles point out and all angles are less than 180

Convex

Angles point in and one or more angles are greater than 180

Regular

All angles are equal and all sides are congruent

Convex

Angles point out and all angles are less than 180

altitude in a triangle

right triangle

hypotenuse

leg of a right triangle

line segment through a vertex and perpendicular to the line co…

a triangle containing one right angle

the side opposite the right angle in a right triangle; also th…

the sides of a right triangle which meet at the right angle

altitude in a triangle

line segment through a vertex and perpendicular to the line co…

right triangle

a triangle containing one right angle

Perpendicular Bisector Theorem

Angle bisector theorem

point of concurrency

circumcenter

in a plane if a point lies on the perpendicular bisector of a…

if a point lies on the bisector of an angle, then it is equidi…

point of intersection

point of intersection of three bisectors

Perpendicular Bisector Theorem

in a plane if a point lies on the perpendicular bisector of a…

Angle bisector theorem

if a point lies on the bisector of an angle, then it is equidi…

Acute angle

Adjacent angles

Base of a parallelogram

base of a triangle

An acute angle is an angle with a measure between 0 degrees an…

Adjacent angles share a vertex and a side but have no interior…

The height of a parallelogram is the length of a perpendicular…

Any side of a triangle can be considered the base of a triangl…

Acute angle

An acute angle is an angle with a measure between 0 degrees an…

Adjacent angles

Adjacent angles share a vertex and a side but have no interior…