#### Study sets matching "geometry chapter 6"

#### Study sets matching "geometry chapter 6"

Polygon

Consecutive Angles

Bases of a Trapezoid

Legs of a Trapezoid

A closed plane figure formed by three or more segments.

Angles of a polygon that share a side and are supplementary.

The parallel sides of a trapezoid.

The nonparallel sides of a trapezoid.

Polygon

A closed plane figure formed by three or more segments.

Consecutive Angles

Angles of a polygon that share a side and are supplementary.

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.

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.

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

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…

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

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.

____ 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

Congruent circles

Concentric Circles

Radius

Chord

two circles with the same radius

circles with the same center

the length of a line segment between the center and circumfere…

a straight line connecting two points on a curve

Congruent circles

two circles with the same radius

Concentric Circles

circles with the same center

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

polygon

diagonal of a polygon

parallelogram

rhombus

A closed plane figure made up of line segments

a segment that joins two nonconsecutive vertices

A quadrilateral with two pairs of parallel sides

a parallelogram with 4 congruent sides

polygon

A closed plane figure made up of line segments

diagonal of a polygon

a segment that joins two nonconsecutive vertices

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…

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

Coordinate proof

Equiangular polygon

Equilateral polygon

Isosceles trapezoid

using coordinate geometry and algebra to prove theorems in geo…

a polygon with all angles congruent

a polygon with all sides congruent

a trapezoid with legs that are congruent

Coordinate proof

using coordinate geometry and algebra to prove theorems in geo…

Equiangular polygon

a polygon with all angles congruent

base of a prism

dihedral angle

edge of a polyhedron

edge of a dihedral angle

A face formed by the polygonal region or its image.

The figure formed by two half-planes with a common edge.

The segment formed by the intersection of two faces of a polyh…

The intersection of the half-planes of a dihedral angle.

base of a prism

A face formed by the polygonal region or its image.

dihedral angle

The figure formed by two half-planes with a common edge.

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

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.

diagonal

median

rhombus

isosceles trapezoid

in a polygon, a segment that connects non consecutive vertices…

in a triangle, a segment with endpoints that are a vertex of a…

a quadrilateral with all 4 sides congruent

the legs are congruent, both pairs of base angles are congruen…

diagonal

in a polygon, a segment that connects non consecutive vertices…

median

in a triangle, a segment with endpoints that are a vertex of a…