# Study sets matching "geometry chapter 6"

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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.

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.

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.

Concave

Regular Polygon

Diagonal

Vertex of a Polygon

A polygon in which a diagonal can be drawn such that part of t…

A quadrilateral that is both equilateral and equiangular.

A segment connecting two nonconsecutive vertices of a polygon.

The intersection of two sides of the polygon.

Concave

A polygon in which a diagonal can be drawn such that part of t…

Regular Polygon

A quadrilateral that is both equilateral and equiangular.

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

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

polygon

vertex of a polygon

consecutive vertices

diagonal

A closed plane figure formed by three or more line segments th…

the point where two sides of a polygon meet

two vertices that are endpoints of the same side of a polygon

A line segment connecting non-adjacent nonconsecutive vertices…

polygon

A closed plane figure formed by three or more line segments th…

vertex of a polygon

the point where two sides of a polygon meet

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…

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…

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

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

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

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

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.

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…

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

Quadrilateral

parallelogram

Rhombus

rectangle

4 sided polygon

quadrilateral with both pairs of opposite sides parallel

a parallelogram with 4 congruent sides.

parallelogram with 4 right angles

Quadrilateral

4 sided polygon

parallelogram

quadrilateral with both pairs of opposite sides parallel

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)

Polygon Angle Sum Theorem

Corollary to the Polygon Angle Sum Theo…

Polygon Exterior Angle-Sum Theorem

If three or more parallel lines cut off…

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

The measure of each interior angle of a regular n-gon is (n-2)…

The Sum of the measures of the exterior angles of a polygon, o…

Then they cut off congruent segments on every transversal.

Polygon Angle Sum Theorem

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

Corollary to the Polygon Angle Sum Theo…

The measure of each interior angle of a regular n-gon is (n-2)…

diagonal

mid segment

kite

parallelogram

a segment of a polygon that connects any two nonconsecutive ve…

the segment that connects the midpoints of the legs of a trape…

a quadrilateral with two pairs of consecutive congruent sides.…

a quadrilateral with both pairs of opposite sides parallel. th…

diagonal

a segment of a polygon that connects any two nonconsecutive ve…

mid segment

the segment that connects the midpoints of the legs of a trape…

Polygon

Convex Polygon

Concave Polygon

Diagonal of a Polygon

a closed plane figure formed by three or more sides such that:…

-no diagonal contains points in the extension... -extending any s…

-indented... -diagonal will contain exterior points... -interior is…

any segment joining NON-consecutive vertices

Polygon

a closed plane figure formed by three or more sides such that:…

Convex Polygon

-no diagonal contains points in the extension... -extending any s…

Base Angles of a Trapezoid

Consecutive Angles

Isosceles Trapezoid

Kite

Each pair of angles adjacent to a base are base angles of the…

Consecutive angles of a polygon share a common side.

An isosceles trapezoid is a trapezoid whose nonparallel opposi…

A kite is a quadrilateral with two pairs of congruent adjacent…

Base Angles of a Trapezoid

Each pair of angles adjacent to a base are base angles of the…

Consecutive Angles

Consecutive angles of a polygon share a common side.