# Study sets matching "geometry chapter 6"

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Regular Polygon

Parallelogram

Rectangle

Rhombus

a polygon with all sides and all angles equal

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

A parallelogram with four equal sides

Regular Polygon

a polygon with all sides and all angles equal

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

Base of a Trapezoid

Base Angle of a Trapezoid

Diagonal

Isosceles Trapezoid

The one pair of parallel sides.

Angles that connect the base to the leg.

This is in polygons with three sides or more connecting any tw…

If the legs are congruent; both pairs of base angles are congr…

Base of a Trapezoid

The one pair of parallel sides.

Base Angle of a Trapezoid

Angles that connect the base to the leg.

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

Parallelogram

Opposite Sides & Opposite Angles

Theorem 6-3

Consecutive Angles

A quadrilateral with two pairs of parallel sides.

Do not share a vertex; do not share a side.

If a quadrilateral is a parallelogram, then its opposite sides…

Angles of a polygon that share a common side.

Parallelogram

A quadrilateral with two pairs of parallel sides.

Opposite Sides & Opposite Angles

Do not share a vertex; do not share a side.

Parallelogram (5)

Rectangle (7)

Rhombus (7)

Square (8)

1. Two Pairs of opposite sides parallel... 2. Opposite Angles are…

1. Four right angles... 2. Two pairs of opposite sides congruent…

1. Four congruent sides ... 2. Diagonals are perpendicular (form…

1. Four right angles... 2. Four congruent sides... 3. Two pairs of o…

Parallelogram (5)

1. Two Pairs of opposite sides parallel... 2. Opposite Angles are…

Rectangle (7)

1. Four right angles... 2. Two pairs of opposite sides congruent…

ratio of a to b

proportion

proportion means

proportion extremes

when a and b are two numbers of quantities and b/=0, written a…

a equation that states that two ratios are equal

the numbers b and c in a proportion equaltion

the numbers a and d in a proportion equation

ratio of a to b

when a and b are two numbers of quantities and b/=0, written a…

proportion

a equation that states that two ratios are equal

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…

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

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

congruent

proportional

statement of proportionality

scale factor

in similar polygons, the corresponding angles are ____________.

in similar polygons, the corresponding sides are _____________.

a statement of equivalent ratios to express similarity (the ra…

the ratio of the lengths of two corresponding sides of two sim…

congruent

in similar polygons, the corresponding angles are ____________.

proportional

in similar polygons, the corresponding sides are _____________.

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

equilateral polygon

equiangular polygon

regular polygon

parallelogram

is a polygon with all sides congruent

is a polygon with all angles congruent

polygon that is both equilateral and equiangular

a quadrilateral with both pairs of opposite sides parallel

equilateral polygon

is a polygon with all sides congruent

equiangular polygon

is a polygon with all angles congruent

Equilateral Polygon

Equiangular Polygon

Regular Polygon

Parallelogram

all sides congruent

all angles congruent

both equilateral and equiangular, center equidistant from vert…

quadrilateral with two pairs of parallel sides, any side can b…

Equilateral Polygon

all sides congruent

Equiangular Polygon

all angles congruent

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.

AAS ≅

bisect

triangle congruence conditions

conditional statement

If two angles and a non-included side of one triangle are cong…

To divide it into two congruent parts.

Conditions that use the minimum number of congruent correspond…

A statement written in "If ..., then ..." form. For example, "…

AAS ≅

If two angles and a non-included side of one triangle are cong…

bisect

To divide it into two congruent parts.

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.

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

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…

side of a polygon

vertex of a polygon

diagonal

triangle

each segment that forms a polygon

the common endpoint of two sides of the polygon

a segment that connects any two nonconsecutive vertices of a p…

3 sides

side of a polygon

each segment that forms a polygon

vertex of a polygon

the common endpoint of two sides of the polygon

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…