# Study sets matching "geometry chapter 6"

Study sets

Diagrams

Classes

Users

Sum of measures of interior angles of a…

Measure of 1 interior angle of regular…

Sum of measures of exterior angles of a…

Measure of 1 exterior angle of a regula…

(n-2)180

(n-2)180... ---------... n

360

360... -----... n

Sum of measures of interior angles of a…

(n-2)180

Measure of 1 interior angle of regular…

(n-2)180... ---------... n

Regular Polygon

Exterior Angles Sum Theorem

Definition of Parallelogram

Definition of Rectangle

A polygon that is both equilateral and equiangular

If a polygon is convex, then the sum of the measures of the ex…

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

Regular Polygon

A polygon that is both equilateral and equiangular

Exterior Angles Sum Theorem

If a polygon is convex, then the sum of the measures of the ex…

parallelogram

rhombus

rectangle

square

quadrilateral with both pairs of opposite sides parallel

parallelogram with four congruent sides

parallelogram with four right angles, opposite sides are paral…

parallelogram with four congruent sides and four congruent ang…

parallelogram

quadrilateral with both pairs of opposite sides parallel

rhombus

parallelogram with four congruent sides

Diagonal

Polygon Exterior Angle Sum Theorem

Polygon Interior Angles Theorem

Convex polygon

A line segment connecting non-adjacent vertices of a polygon.

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

The sum of the measures of the interior angles of a convex n-g…

A polygon in which every line segment connecting any two verti…

Diagonal

A line segment connecting non-adjacent vertices of a polygon.

Polygon Exterior Angle Sum Theorem

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

Polygon

Sides

Vertex

Convex

A figure formed by 3 or more segments; no two sides with a com…

A line segment connected to two other line segments that form…

Each endpoint of a side of a polygon

No line contours on an interior point of a polygon

Polygon

A figure formed by 3 or more segments; no two sides with a com…

Sides

A line segment connected to two other line segments that form…

Properties of a parallelogram

Properties of a rhombus

Properties of a rectangle

Properties of a square

Opposite angles congruent... Opposite sides congruent... Oppisite si…

Opposite angles congruent... Opposite sides congruent... Oppisite si…

Opposite angles congruent... Opposite sides congruent... Oppisite si…

Opposite angles congruent... Opposite sides congruent... Oppisite si…

Properties of a parallelogram

Opposite angles congruent... Opposite sides congruent... Oppisite si…

Properties of a rhombus

Opposite angles congruent... Opposite sides congruent... Oppisite si…

Triangle

Acute (triangle)

Right (triangle)

Obtuse (triangle)

a closed figure with three sides

a triangle with three acute angles

a triangle with one right angle

a triangle with one obtuse angle

Triangle

a closed figure with three sides

Acute (triangle)

a triangle with three acute angles

Midsegment

Triangle Midsegment Theorem

point of concurrency

circumcenter

a segment connecting the midpoints of two sides of a triangle

If a segment joins the midpoints of two sides of a triangle, t…

the point of intersection of the concurrent lines, rays, or se…

the point of concurrency of 3 perpendicular bisects of a trian…

Midsegment

a segment connecting the midpoints of two sides of a triangle

Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a triangle, t…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a…

In a plane, if a point is equidistant from the endpoints of a…

If a point lies on the bisector of an angle, then it is ... equid…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a…

Parallelogram properties

Rhombus properties

Rectangle properties

Square properties

-4 sides... -opp. parallel sides... -opp. congruent sides... -opp. cong…

-4 sides... -opp. parallel sides... -opp. congruent sides... -opp. cong…

-4 sides... -opp. parallel sides... -opp. congruent sides... -opp. cong…

-4 sides... -opp. parallel sides... -opp. congruent sides... -opp. cong…

Parallelogram properties

-4 sides... -opp. parallel sides... -opp. congruent sides... -opp. cong…

Rhombus properties

-4 sides... -opp. parallel sides... -opp. congruent sides... -opp. cong…

Coordinate Proof

Equiangular Polygon

Equilateral Polygon

Isosceles Trapezoid

A proof involving placing geometric figures in a coordinate pl…

A polygon with all angles congruent

a polygon in which all sides are congruent

A trapezoid with congruent legs, parallel bases

Coordinate Proof

A proof involving placing geometric figures in a coordinate pl…

Equiangular Polygon

A polygon with all angles congruent

A-A postulate

SSS theorem

SAS theorem

triangle proportionality theorem

if 2 angles congruent, then triangles congruent

3 sides congruent, then triangles congruent

side, angle, then side congruent, then triangles congruent

if a line ll to one side of a triangle intersects the other 2…

A-A postulate

if 2 angles congruent, then triangles congruent

SSS theorem

3 sides congruent, then triangles congruent

Diagonal

Polygon Interior angle Sum Theorem 6.1

Polygon Exterior angles sum theorem 6.2

Parallelogram

In a polygon, a segment that connects nonconsecutive vertices…

The sum of the interior angle of measures of an n-sided convex…

The sum of the exterior angles measures of a convex polygon, o…

A quadrilateral with parallel opposite sides. Any side of a pa…

Diagonal

In a polygon, a segment that connects nonconsecutive vertices…

Polygon Interior angle Sum Theorem 6.1

The sum of the interior angle of measures of an n-sided convex…

sum of the interior angles of a polygon

regular polygon

Regular interior angle sum

Sum of exterior angles

(n-2)180

a polygon that is both equilateral and equiangular

(N-2)180/N

360

sum of the interior angles of a polygon

(n-2)180

regular polygon

a polygon that is both equilateral and equiangular

Base

Base angle

Diagonal

Isosceles trapezoid

The parallel sides.

Angle formed by the base and one leg of a trapezoid.

A segment that connects any 2 nonconsecutive sides.

A trapezoid with congruent legs.

Base

The parallel sides.

Base angle

Angle formed by the base and one leg of a trapezoid.

Polygon Angle-Sum Theorem

Corollary to the Polygon Angle-Sum Theo…

Polygon Exterior Angle-Sum Theorem

Theorem 6-3

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…

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

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)…

How to find the sum of the interior ang…

How to find the measure of ONE interior…

How to find the measure of one exterior…

Quadrilateral

(n-2)180

You divide the sum of (n-2)180 by the number of sides

Divide 360 by the number of sides

4 sides

How to find the sum of the interior ang…

(n-2)180

How to find the measure of ONE interior…

You divide the sum of (n-2)180 by the number of sides

Theorem 6.1

Theorem 6.2

Polygon Interior Angles Sum

Polygon Exterior Angles Sum

Theorem _______ (Number)... The sum of the interior angles measur…

Theorem _______ (Number)... The sum of the exterior angle measure…

Theorem _______ (Phrase)... The sum of the interior angles measur…

Theorem _______ (Phrase)... The sum of the exterior angle measure…

Theorem 6.1

Theorem _______ (Number)... The sum of the interior angles measur…

Theorem 6.2

Theorem _______ (Number)... The sum of the exterior angle measure…

Ratios

Geometric Means

Perimeter of similar polygon

Angle-Angle (AA) Similarity Postulate

Recipricol property- a/b= c/d then b/a=d/c... interchange propert…

a and b is positive solve for x. a/x = x/b. So X^2 = AB and x=…

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

If 2 angles of a triangle is congruent to 2 other angles of an…

Ratios

Recipricol property- a/b= c/d then b/a=d/c... interchange propert…

Geometric Means

a and b is positive solve for x. a/x = x/b. So X^2 = AB and x=…

median

centroid

centroid theorem

altitude

segment from the vertex to the midpoint of the opposite side

the point of concurrency of three medians of a triangle

the centroid is 2 of the distance from each vertex to the midp…

the perpendicular segment from a vertex to the opposite side o…

median

segment from the vertex to the midpoint of the opposite side

centroid

the point of concurrency of three medians of a triangle

polygon interior angles sum theorem

diagonal

regular polygon

one interior angle and one exterior ang…

The sum of the interior angle measures of an n-sided convex po…

a segment that connects any 2 nonconsecutive vertices

is equilateral and equiangular

supplementary

polygon interior angles sum theorem

The sum of the interior angle measures of an n-sided convex po…

diagonal

a segment that connects any 2 nonconsecutive vertices

Theorem 6-1: The Exterior Angle Inequal…

Summary of Related If-Then Statements

How to Write an Indirect Proof

Theorem 6-2

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

Given statement: If p, then q... Contrapositive: If not q, then n…

1) Assume temporarily that the conclusion is not true.... 2) Reas…

If one side of a triangle is longer than a second side, then t…

Theorem 6-1: The Exterior Angle Inequal…

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

Summary of Related If-Then Statements

Given statement: If p, then q... Contrapositive: If not q, then n…