# Study sets matching "geometry chapter 6"

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6.1 Interior Angle Sum

6.2 Exterior Angle Sum

parallelogram

6.3 Opposite sides of a parallelogram a…

if a convex polygon has n sides, a s is the sum of the measure…

if a polygon is convex, then the measure of the exterior angle…

quadrilateral with both pairs of opposite sides parallel

6.1 Interior Angle Sum

if a convex polygon has n sides, a s is the sum of the measure…

6.2 Exterior Angle Sum

if a polygon is convex, then the measure of the exterior angle…

reflection-symmetric figure

symmetry line

vertex angle of an isosceles triangle

base of an isosceles triangle

A plane figure F for which there is a line m (the symmetry lin…

For a figure, a line m such that the figure coincides with its…

The angle included by the congruent sides of an isosceles tria…

The side opposite the vertex angle of the triangle

reflection-symmetric figure

A plane figure F for which there is a line m (the symmetry lin…

symmetry line

For a figure, a line m such that the figure coincides with its…

Definition of Similar Polygons

Definition of Scale Factor

Perimeter of Similar Polygons Theorem

Angle-Angle Similarity Postulate

two polygons with congruent corresponding angles and proportio…

the ratio of the lengths of two corresponding sides of similar…

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

If two angles of one triangle are congruent to two angles of a…

Definition of Similar Polygons

two polygons with congruent corresponding angles and proportio…

Definition of Scale Factor

the ratio of the lengths of two corresponding sides of similar…

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

Opposite sides are congruent and diagon…

opposite sides are congruent and diagon…

all four sides are congruent and diagon…

All four sides are congruent and diagon…

parallelogram

rectange

rhombus

square

Opposite sides are congruent and diagon…

parallelogram

opposite sides are congruent and diagon…

rectange

perpendicular bisector theorem

converse of the perpendicular bisector…

angle bisector theorem

converse of the 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 equidi…

if a point is in the interior of an angle and is equidistant f…

perpendicular bisector theorem

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

converse of the perpendicular bisector…

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

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…

Perpendicular Bisector

Angle Bisector

Concurrent

Point of Concurrency

a line that splits a segment into two congruent parts, creatin…

a line that cuts an angle into two congruent angles

when three or more lines, rays, or segments intersect at the s…

the point of intersections of the lines, rays, or segments

Perpendicular Bisector

a line that splits a segment into two congruent parts, creatin…

Angle Bisector

a line that cuts an angle into two congruent angles

Ratio of A to B

Proportion

Geometric Mean

Scale

If A and B are two numbers, and B is not equal to 0, then the…

An equation that states that 2 ratios are equal.

For 2 positive numbers A and B, the gm. is the positive number…

A ratio that describes how the dimensions in a scale drawing a…

Ratio of A to B

If A and B are two numbers, and B is not equal to 0, then the…

Proportion

An equation that states that 2 ratios are equal.

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…

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

Polygon Angle Sum Theorem

Polygon Exterior Angle Sum Theorem

Corollary to the polygon angle sum Theo…

If a quad. is a parallelogram then (Def…

The sum of the measures of the interior ages of a polygon is (…

The sum of the measures of the exterior angles of the exterior…

The measure of each interior angle of a regular polygon is (n-…

Both pairs of opposite sides are parallel

Polygon Angle Sum Theorem

The sum of the measures of the interior ages of a polygon is (…

Polygon Exterior Angle Sum Theorem

The sum of the measures of the exterior angles of the exterior…

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…

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

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…

Equilateral Polygon

Equiangular Polygon

Regular Polygon

Parallelogram

A polygon with all sides congruent

A polygon with all angles congruent

A polygon that is both equilateral and equiangular (all sides…

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

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…