# Study sets matching "geometry chapter 6"

Polygon Interior Angle-Sum Theorem

Equilateral

Equiangular

Regular

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

All sides are congruent in a polygon.

All angles are congruent in a polygon.

All sides are congruent and all angles are congruent in a poly…

Polygon Interior Angle-Sum Theorem

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

Equilateral

All sides are congruent in a polygon.

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…

Convex

Concave

Regular Polygon

Has 3 sides

Has no diagonal contains points in the exterior

If any part of a diagonal contains points exterior of the poly…

Is both equilateral and equianglar

triangles

Convex

Has no diagonal contains points in the exterior

Concave

If any part of a diagonal contains points exterior of the poly…

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

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…

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.

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

Theorem 6.1

Side-Side-Side (SSS) Similarity Theorem

Side-Angle-Side (SAS) Similarity Theorem

Triangle Proportionality Theorem

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

If the corresponding side lengths of two triangles are proport…

If an angle of one triangle is congruent to an angle of a seco…

If a line parallel to one side of a triangle intersects the ot…

Theorem 6.1

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

Side-Side-Side (SSS) Similarity Theorem

If the corresponding side lengths of two triangles are proport…

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…

QUADRILATERAL

PARALLELOGRAM

RHOMUS

RECTANGLE

A polygon with exactly 4 sides

A quadrilateral with both pairs of opposite sides PARALLEL

A parallelogram with 4 equal sides ... (not all equal angles, tho…

A parallelogram with 4 right angles ... (not all equal sides thou…

QUADRILATERAL

A polygon with exactly 4 sides

PARALLELOGRAM

A quadrilateral with both pairs of opposite sides PARALLEL

Tangent Conjecture

Tangent segments conjecture

Internal tangent-

External tangent-

a tangent to a circle is perpendicular to the radius drawn to…

tangent segments to a circle from a point outside the circle a…

Tangent Conjecture

a tangent to a circle is perpendicular to the radius drawn to…

Tangent segments conjecture

tangent segments to a circle from a point outside the circle a…

concave polygon

convex polygon

Polygon Sum Theorem

Polygon Exterior Angle Sum Theorem

if any point of a diagonal contains points in the exterior of…

if no diagonal contains points in the exterior

the sum of the interior angles of any convex polygon with n si…

the sum of the exterior angle measures, one angle at each vert…

concave polygon

if any point of a diagonal contains points in the exterior of…

convex polygon

if no diagonal contains points in the exterior

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…

theorem 6-1

given statement

contrapositive

converse

the measure of an exterior angle of a triangle is greater than…

if p, then q

if not q, then not p

if q, then p

theorem 6-1

the measure of an exterior angle of a triangle is greater than…

given statement

if p, then q

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.

Sum of Measure of Interior Angles

Measure of Each Interior Angle

Total Measure of Exterior Angles

Rhombus

360 Degrees

Diagonals are perpendicular, each diagonal bisects a pair of o…

Sum of Measure of Interior Angles

Measure of Each Interior Angle

Coordinate proof

Equiangular polygon

Equilateral polygon

Isosceles trapezoid

using coordinate geometry and algebra to prove theorems in geo…

a polygon with all angles congruent

a polygon with all sides congruent

a trapezoid with legs that are congruent

Coordinate proof

using coordinate geometry and algebra to prove theorems in geo…

Equiangular polygon

a polygon with all angles congruent

Midsegment

midpoint

perpendicular ... bisector

equidistant

connects the midpoints of two sides in a triangle. It is paral…

A point that divides a segment into two congruent pieces

A line that is perpendicular to a segment at its midpoint (cut…

The same distance

Midsegment

connects the midpoints of two sides in a triangle. It is paral…

midpoint

A point that divides a segment into two congruent pieces

midsegment

midpoint

perpendicular bisector

equidistant

Connects the midpoints of two sides in a triangle. It is paral…

a point that divides a segment into two congruent pieces

a line that is perpendicular to a segment at its midpoint

the same distance

midsegment

Connects the midpoints of two sides in a triangle. It is paral…

midpoint

a point that divides a segment into two congruent pieces

Similar

Scale Factor

Rigid Motion

Angle measure, betweenness, collinearit…

Two figures that have the same shape but not necessarily the s…

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

A transformation that creates a congruent figure

Factors retained in rigid motion

Similar

Two figures that have the same shape but not necessarily the s…

Scale Factor

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

Parallelogram

Rhombus

Rectangle

Square

A quadrilateral with two pairs of parallel sides. You can choo…

A parallelogram with four congruent sides.

A parallelogram with four right angles.

A parallelogram with four congruent sides and four right angle…

Parallelogram

A quadrilateral with two pairs of parallel sides. You can choo…

Rhombus

A parallelogram with four congruent sides.