# Study sets matching "geometry chapter 6"

Study sets

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Base

Base Angle of a trapezoid

Diagonal

Isosceles Trapezoid

The parallel sides of a trapezoid.

Trapezoid angles formed by the base and one of the legs.

In a polygon, a segment that connects nonconsecutive vertices…

A trapezoid in which the legs are congruent, both pairs of bas…

Base

The parallel sides of a trapezoid.

Base Angle of a trapezoid

Trapezoid angles formed by the base and one of the legs.

quadrilateral

parallelogram

rhombus

rectangle

any four-sided polygon

quadrilateral with two pairs of opposite sides parallel. ... Opp…

parallelogram with all four sides congruent.... Diagonals are pe…

parallelogram with four right angles. ... Diagonals are congruen…

quadrilateral

any four-sided polygon

parallelogram

quadrilateral with two pairs of opposite sides parallel. ... Opp…

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Congruent Segment Bisector Theorem

Theorem 6.2

Theorem 6.3

Theorem 4.2

If two congruent segments are bisected then the four resulting…

Segment congruence is an equivalence relation

Supplements of congruent angles are congruent

Adjacent supplementary angles form a linear pair

Congruent Segment Bisector Theorem

If two congruent segments are bisected then the four resulting…

Theorem 6.2

Segment congruence is an equivalence relation

Base

Base Angle of a trapezoid

Diagonal

Isosceles Trapezoid

The parallel sides of a trapezoid.

Trapezoid angles formed by the base and one of the legs.

In a polygon, a segment that connects nonconsecutive vertices…

A trapezoid in which the legs are congruent, both pairs of bas…

Base

The parallel sides of a trapezoid.

Base Angle of a trapezoid

Trapezoid angles formed by the base and one of the legs.

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

Polygon Interior Angles Sum

Polygon Exterior Angles Sum

Parallelogram congruence properties

Parallelogram angles properties

(n-2)*180

is always 360

opposite sides and opposite angles are congruent in a parallel…

consecutive angles are supplementary, and if there is one righ…

Polygon Interior Angles Sum

(n-2)*180

Polygon Exterior Angles Sum

is always 360

concave

convex

isosceles trapezoid

kite

A polygon where part of the diagonal is in the exterior

A polygon where the entire diagonal is in the interior

Trapezoid where the legs are congruent

Quadrilateral with exactly two pairs of consecutive sides

concave

A polygon where part of the diagonal is in the exterior

convex

A polygon where the entire diagonal is in the interior

Transformation

Dilation

Similar

Similarity Transformation

a function that takes points in the plane as inputs and gives…

an example of a transformation that moves each point along a r…

the same shape but not necessarily the same size; if a similar…

one or more rigid transformations (reﬂection, rotation, transl…

Transformation

a function that takes points in the plane as inputs and gives…

Dilation

an example of a transformation that moves each point along a r…

altitude of a triangle

centroid

circumcenter

concurrent

The perpendicular segment from a vertex of a triangle to the o…

The point of concurrency of the three medians of a triangle

The point of concurrency of the three perpendicular bisectors…

Three or more lines, rays, or segments that intersect in the s…

altitude of a triangle

The perpendicular segment from a vertex of a triangle to the o…

centroid

The point of concurrency of the three medians of a triangle

Equidistant

Concurrent

Point of concurrency

Circumcenter

A point is the same distance from each figure

When three or more lines, rays, or segments intersect in the s…

The point of intersection of the lines, rays, or segments

The point of concurrency of the three perpendicular bisectors…

Equidistant

A point is the same distance from each figure

Concurrent

When three or more lines, rays, or segments intersect in the s…

ratio

proportion

means

extremes

a comparison of two numbers, usually written like a:b or as a…

an equation that states that two ratios are equal

parts b and c of a proportion

parts a and d of a proportion

ratio

a comparison of two numbers, usually written like a:b or as a…

proportion

an equation that states that two ratios are equal

Equilateral polygon

Equiangular polygon

Regular polygon

Theorem 6-1 Polygon Angle-Sum Theorem

An equilateral polygon is a polygon with all sides congruent.

An equiangular polygon is a polygon with all angles congruent.

A regular polygon is a polygon that is both equilateral and eq…

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

Equilateral polygon

An equilateral polygon is a polygon with all sides congruent.

Equiangular polygon

An equiangular polygon is a polygon with all angles congruent.

parallelogram

rhombus

rectangle

square

a quadrilateral with both pairs of opposite sides parallel

a parallelogram with four congruent sides

a parallelogram with four right angles

a parallelogram with four congruent sides and four right angles

parallelogram

a quadrilateral with both pairs of opposite sides parallel

rhombus

a parallelogram with four congruent sides

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and the…

In a proportion, the numerator of the first equation and the d…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and the…

reflection symmetric figure

vertex angle

base angles

parallelogram definition

there is a line such that r(F)=F

the angle opposite the base in an isosceles triangle

the angles whose vertices are the endpoints of the base

two pairs of opposite sides are parallel

reflection symmetric figure

there is a line such that r(F)=F

vertex angle

the angle opposite the base in an isosceles triangle

The sum of the interior angles of a pol…

regular polygon

The measure of EACH interior angle of a…

The sum of the exterior angles of a pol…

(n - 2)180

equilateral and equiangular (congruent sides and angles)

(n - 2)180 / n

360

The sum of the interior angles of a pol…

(n - 2)180

regular polygon

equilateral and equiangular (congruent sides and angles)

Parallelogram

Rectangle

Rhombus

Square

-A Quadrilateral with 2 pairs of opposite sides parallel... -Both…

-An Equiangular quadrilateral... All Properties of a Parallelogra…

-Equilateral Quadrilateral... -All Properties of a Parallelogram…

-Regular Quadrilateral... -All the properties of a rhombus apply…

Parallelogram

-A Quadrilateral with 2 pairs of opposite sides parallel... -Both…

Rectangle

-An Equiangular quadrilateral... All Properties of a Parallelogra…

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The sum of all angles is (n - 2) * 180.

The sum of all exterior angles is 360.

The sum of all one interior angle of a…

Congruent

Polygon Angle Sum Theorem

Polygon Exterior Angle Theorem

Polygon Interior Angle Sum Theorem

Diagonals of a Rectangle

The sum of all angles is (n - 2) * 180.

Polygon Angle Sum Theorem

The sum of all exterior angles is 360.

Polygon Exterior Angle Theorem

Two points are symmetric with respect t…

In a plane, two points each equidistant…

Two lines are parallel...

A transversal is a line that...

iff the line is the perpendicular bisector of the segment conn…

determine the perpendicular bisector of the line segment

iff they lie in the same plane and do not intersect

intersects two or more lines that lie in the same plane in dif…

Two points are symmetric with respect t…

iff the line is the perpendicular bisector of the segment conn…

In a plane, two points each equidistant…

determine the perpendicular bisector of the line segment

regular polygon

irregular polygon

convex

concave

this type of polygon has all sides congruent and all angles co…

in this polygon not all the sides and angles are congruent

a polygon is -- if all its diagonals lie in the interior of th…

a polygon is -- if all or part of at least one diagonal lies o…

regular polygon

this type of polygon has all sides congruent and all angles co…

irregular polygon

in this polygon not all the sides and angles are congruent