# Study sets matching "geometry chapter 6"

Study sets

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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.

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.

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.

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…

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

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…

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…

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

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

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

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…

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…

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

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…

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

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)…

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…

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.

____ sides of a parallelogram are congr…

opposite angles of a parallelogram are…

diagonals of a parallelogram

If three or more parallel lines cut off…

opposite

congruent

bisect each other

they cut off congruent segments on every transversal

____ sides of a parallelogram are congr…

opposite

opposite angles of a parallelogram are…

congruent