# Study sets matching "geometry chapter 6"

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Equilateral Polygon

Equiangular polygon

regular polygon

Parallelogram

a polygon with all sides congruent

a polygon with all angles congruent

a polygon that is equilateral and equiangular

a quadrilateral with both pairs of opposite sides parallel

Equilateral Polygon

a polygon with all sides congruent

Equiangular polygon

a polygon with all angles congruent

Angle Sum Theorem 6.1

Corollary to the Polygon Angle Sum Theo…

Theorem 6-2 Polygon Exterior Angle-Sum…

Theorem 6-3

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

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

The sum of the measure of each exterior angles of a polygon, o…

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

Angle Sum Theorem 6.1

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

Corollary to the Polygon Angle Sum Theo…

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

parallelogram rhombus rectangle square

both pairs of opposite angles congruent

kite rhombus square

isosceles trapezoid rectangle square

both pairs of opposite sides congruent

parallelogram rhombus rectangle square

both pairs of consecutive sides congruent

two pairs of consecutive angles congruent

parallelogram rhombus rectangle square

both pairs of opposite sides congruent

both pairs of opposite angles congruent

parallelogram rhombus rectangle square

Rectangle

Rhombus

Square

Parallelogram

A parallelogram that has 4 right angles... - opposite sides paral…

A parallelogram that has 4 congruent sides... - opposite sides pa…

A parallelogram with 4 congruent sides and 4 congruent angles…

A quadrilateral with opposite sides parallel

Rectangle

A parallelogram that has 4 right angles... - opposite sides paral…

Rhombus

A parallelogram that has 4 congruent sides... - opposite sides pa…

Polygon

Sides of a polygon

Vertex (vertices)

Convex

1) Formed by three or more segments called sides, such that no…

Any of the line segments that make up a polygon

A corner point of a geometric figure; where adjacent sides meet

A polygon that is not concave

Polygon

1) Formed by three or more segments called sides, such that no…

Sides of a polygon

Any of the line segments that make up a polygon

Cross products

Extremes

Fractal

Iteration

In the proportion A over B equals C over D, where B doesn't eq…

In A over B equals C over D, the numbers A & D

A figure generated by repeating a special sequence of steps in…

A process of repeating the same procedure over and over again

Cross products

In the proportion A over B equals C over D, where B doesn't eq…

Extremes

In A over B equals C over D, the numbers A & D

side of the polygon

vertex of the polygon

diagonal

regular polygon

each segment that forms a polygon

common endpoint of two sides

a segment that connects any two nonconsecutive vertices

both equilateral and equiangular

side of the polygon

each segment that forms a polygon

vertex of the polygon

common endpoint of two sides

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

Both pairs of opposite sides are parall…

One pair of opposite ides are parallel

Neither pair of opposite sides are para…

Properties of a Parallelogram

parallelogram, rectangle, rhombus,square

trapezoid, isosceles trapezoid

kite

-both pairs of opposite sides are parallel (def.)... - both pairs…

Both pairs of opposite sides are parall…

parallelogram, rectangle, rhombus,square

One pair of opposite ides are parallel

trapezoid, isosceles trapezoid

Area and Volume Ratio Theorem

Side-Splitter Theorem

Extended Ratios

Ratios

If the scale factor of the two similar solids are a : b, then…

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

A comparison of three or more quantities. Must be simplified.

A comparison of two or more quantities. Must be simplified

Area and Volume Ratio Theorem

If the scale factor of the two similar solids are a : b, then…

Side-Splitter Theorem

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

Diagonal

Parallelogram

Rectangle

Rhombus

A segment that connects any 2 non consecutive vertices

A quadrilateral with both parts of opposite sides parallel

A parallelogram with 4 right angles

A parallelogram with all 4 sides congruent

Diagonal

A segment that connects any 2 non consecutive vertices

Parallelogram

A quadrilateral with both parts of opposite sides parallel

polygon

quadrilaterals

trapezoid

parallelograms

a closed figure formed from line segments that intersect only…

a polygon with four sides and four angles

a quadrilateral with one pair of parallel sides

a quadrilateral with two pairs of parallel opposite sides

polygon

a closed figure formed from line segments that intersect only…

quadrilaterals

a polygon with four sides and four angles

Equidistant

Concurrent

Point of concurrency

Circumcenter

(6.1) A point is equidistant from two figures when it is the s…

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

The point of intersection of concurrent lines, rays, or segmen…

The point of concurrency of the three perpendicular bisectors…

Equidistant

(6.1) A point is equidistant from two figures when it is the s…

Concurrent

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

Bases

Diagonal

Legs

Median

The parallel sides of a trapezoid.

The line segment that connects the opposite vertex angles in a…

The non-parallel sides of a trapezoid.

The line segment that connects the midpoints of legs of a trap…

Bases

The parallel sides of a trapezoid.

Diagonal

The line segment that connects the opposite vertex angles in a…

polygon

concave polygon

convex polygon

equilateral polygon

a closed figure in a single plane formed by three or more segm…

continued sides intersect eachother

continued sides do not intersect

all sides are congruent

polygon

a closed figure in a single plane formed by three or more segm…

concave polygon

continued sides intersect eachother

if a quadrilateral is a parallelogram,…

if a quadrilateral is a parallelogram,…

if a quadrilateral is a parallelogram,…

if a parallelogram has on right angle,…

congruent

congruent

supplementary

four right angles

if a quadrilateral is a parallelogram,…

congruent

if a quadrilateral is a parallelogram,…

congruent

Acute Angle

Adjacent Angles

Base of a Parallelogram

Base of a Triangle

Between 0 degrees and 90 degrees

Share a vertex and a side but have no interior points in commo…

The two parallel sides of a parallelogram.

Any side of a triangle.

Acute Angle

Between 0 degrees and 90 degrees

Adjacent Angles

Share a vertex and a side but have no interior points in commo…

Diagonal

Convex polygon

Polygon jnteriror angle sum

Polygin exterior

Segment that connects any 2 nonconsecuative vertices

A polygon for which there is no line that contains both of the…

The sum of the interior angle measures of a n-side convex poly…

Sum of the exterior angle measures of a convex polygon, one an…

Diagonal

Segment that connects any 2 nonconsecuative vertices

Convex polygon

A polygon for which there is no line that contains both of the…

similar triangles

side-side-side similarity theorem

angle-angle similarity theorem

side- angle- side similarity theorem

triangles that have all pairs of corresponding angles congruen…

when all 3 corresponding sides of two triangles are proportion…

when two angles of one triangle are congruent to two angles of…

two of the corresponding sides of two triangles are proportion…

similar triangles

triangles that have all pairs of corresponding angles congruen…

side-side-side similarity theorem

when all 3 corresponding sides of two triangles are proportion…

Parallelogram

Opposite sides theorem

Opposite angles theorem

Consecutive angles theorem

4-sided quadrilateral with 2 pairs of parallel sides

In a parallelogram, the 2 pairs of parallel sides are also con…

In a parallelogram, the 2 pairs of non-consecutive angles are…

In a parallelogram, consecutive angles are supplementary

Parallelogram

4-sided quadrilateral with 2 pairs of parallel sides

Opposite sides theorem

In a parallelogram, the 2 pairs of parallel sides are also con…

perpendicular and bisector then equidis…

perpendicular and equidistant then bise…

equidistant and bisector then perpendic…

circumcenter

If a point is on the perpendicular bisector of a segment then…

If a point is equidistant to tp the endpoints of a segment AND…

If a point is equidistant to the endpoints of a segment AND it…

Formed by the perpendicular bisector of sides and therefore it…

perpendicular and bisector then equidis…

If a point is on the perpendicular bisector of a segment then…

perpendicular and equidistant then bise…

If a point is equidistant to tp the endpoints of a segment AND…

Perpendicular Bisector Theorem

Angle bisector theorem

point of concurrency

circumcenter

in a plane if a point lies on the perpendicular bisector of a…

if a point lies on the bisector of an angle, then it is equidi…

point of intersection

point of intersection of three bisectors

Perpendicular Bisector Theorem

in a plane if a point lies on the perpendicular bisector of a…

Angle bisector theorem

if a point lies on the bisector of an angle, then it is equidi…

2 points are symmetric with respect to…

Any point on the perpendicular bisector…

In a plane, 2 points each equidistant f…

Parallel lines

If and only if the line is the perpendicular bisector of the s…

Equidistant from the endpoints

Determine the perpendicular bisector of the segment

Coplanar lines that do not intersect

2 points are symmetric with respect to…

If and only if the line is the perpendicular bisector of the s…

Any point on the perpendicular bisector…

Equidistant from the endpoints

altitude of a triangle

Centroid

Circumcenter

Concurrent

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

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…

altitude of a triangle

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

Centroid

The point of concurrency of the three medians of a triangle.

circumcenter theorm

centroid theorm

orthocenter theorm

incenter therom

the equadistance form the vertices of the triangles

is two thirds or one third of the distance form each vertex to…

the instersection of all the altitudes in a triangle

is equal distance from the sides of a triangle

circumcenter theorm

the equadistance form the vertices of the triangles

centroid theorm

is two thirds or one third of the distance form each vertex to…