# Study sets matching "geometry chapter 6"

Study sets

Diagrams

Classes

Users

midsegment of a triangle

perpendicular bisector

median

orthocenter

A segment that connects the midpoints of two sides of the tria…

a segment, ray, line, or plane that is perpendicular to a segm…

a line segment joining a vertex to the midpoint of the opposin…

The point at which the three altitudes of a triangle intersect.

midsegment of a triangle

A segment that connects the midpoints of two sides of the tria…

perpendicular bisector

a segment, ray, line, or plane that is perpendicular to a segm…

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

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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…

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

equidistant

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

a point is equidistant from two figures when the point is the…

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 equidi…

equidistant

a point is equidistant from two figures when the point is the…

Perpendicular Bisector Theorem

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

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

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…

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…

Equidistant

Concurrent

point of concurrency

Circumcenter

When its the same distance from two figures

Three or more lines rays or segments that intersect at the sam…

The point of intersection of concurrent lines rays or segments

The point of concurrency of three perpendicular bisectors of a…

Equidistant

When its the same distance from two figures

Concurrent

Three or more lines rays or segments that intersect at the sam…

Polygon Angle-Sum theorem

Equilateral polygon

Equiangular polygon

Regular polygon

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

A polygon with all sides congruent

A polygon with all angles congruent

A polygon that is both equiangular and equilateral

Polygon Angle-Sum theorem

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

Equilateral polygon

A polygon with all sides congruent

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.

Point

Line

Parallel lines

Intersecting lines

A point is an exact location in space

A straight path of points that goes on and on in both directio…

Never intersect

Pass through the same point

Point

A point is an exact location in space

Line

A straight path of points that goes on and on in both directio…

Polygon Angle Sum Theorem

Polygon Exterior Angle Sum Theorem

Theorem 6-2-1

Theorem 6-2-2

The sum of the interior angle measures of a convex polygon wit…

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

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

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

Polygon Angle Sum Theorem

The sum of the interior angle measures of a convex polygon wit…

Polygon Exterior Angle Sum Theorem

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

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…

base

parallelogram

kite

equiangular

parallel sides of a trapezoid

a quadrilateral with both pairs of opposite sides parallel

a quadrilateral with two pairs of consecutive sides congruent…

all angles congruent

base

parallel sides of a trapezoid

parallelogram

a quadrilateral with both pairs of opposite sides parallel

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

Sides of a polygon

Vertex of a polygon

Diagonal

Regular polygon

Each line segment that forms a polygon

The common endpoint of two sides

A segment that connects any 2 nonconsecutive vertices

A polygon that is both equilateral and equiangular

Sides of a polygon

Each line segment that forms a polygon

Vertex of a polygon

The common endpoint of two sides

ratio

proportion

means

extremes

a comparison of two numbers using division

an equation that states that two ratios are equal

the middle terms of a proportion

the first and last terms of a proportion

ratio

a comparison of two numbers using division

proportion

an equation that states that two ratios are equal

Diagonal

Polygon Interior Angle Sum Theorem

3

4

Segment that connects any two nonconsecutive vertices of a pol…

Sum of interior angles measures of an n-sided convex polygon i…

Triangle

Quadrilateral

Diagonal

Segment that connects any two nonconsecutive vertices of a pol…

Polygon Interior Angle Sum Theorem

Sum of interior angles measures of an n-sided convex polygon i…

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polygon interior angle-sum theorem

equiangular polygon

equilateral polygon

regular polygon

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

a polygon with all angles congruent

a polygon with all sides congruent

a polygon that is both equiangular and equilateral

polygon interior angle-sum theorem

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

equiangular polygon

a polygon with all angles congruent

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…

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

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