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base angles of a trapezoid

consecutive angles

isosceles trapezoid

kite

each pair of adjacent angles to a base

share a common side

whose nonparallel opposite sides are congruent.

is a quadrilateral with two pairs of congruent adjacent sides…

base angles of a trapezoid

each pair of adjacent angles to a base

consecutive angles

share a common side

Regular Polygon

Parallelogram

Rectangle

Rhombus

a polygon with all sides and all angles equal

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

A parallelogram with four equal sides

Regular Polygon

a polygon with all sides and all angles equal

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

similar triangles

Angle-Angle Similarity Theorem

Side-Side Similarity Theorem

included angle

triangles that have all pairs of corresponding angles congrue…

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

"If all three corresponding sides of two triangles are propor…

an angle formed by two consecutive sides of a figure

similar triangles

triangles that have all pairs of corresponding angles congrue…

Angle-Angle Similarity Theorem

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

diameter

diagonal

right trapezoid

two-dimensional

a line segment drawn through the center of a circle with both…

a segment that connects any two vertices of the polygon but i…

a trapezoid with exactly two right angles

a figure that lies on a flat surface that has length and width

diameter

a line segment drawn through the center of a circle with both…

diagonal

a segment that connects any two vertices of the polygon but i…

polygon

sides of a polygon

vertex of a polygon

diagonal of a polygon

A closed plane figure formed by three or more line segments

Each line segment that forms a polygon

the point where two sides of a polygon meet

A segment that joins two nonconsecutive vertices of a polygon

polygon

A closed plane figure formed by three or more line segments

sides of a polygon

Each line segment that forms a polygon

properties of inequalities

exterior angle inequality theorem

given if p then q; converse

given if p then q; converse

a>b, b>c, then a >c... a > b, c>0, then a+c > b+c... a> b, c> 0, th…

the exterior angle of a triangle is greater than either remot…

q then p

inverse not p then not q

properties of inequalities

a>b, b>c, then a >c... a > b, c>0, then a+c > b+c... a> b, c> 0, th…

exterior angle inequality theorem

the exterior angle of a triangle is greater than either remot…

side of a polygon

vertex of a polygon

diagonal

regular polygon

segment that forms a polygon

common endpoint of two sides

segment that connects any two non consecutive vertices

equilateral and equiangular polygon

side of a polygon

segment that forms a polygon

vertex of a polygon

common endpoint of two sides

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.

parallelogram

parallelogram

parallelogram

parallelogram

a quadrilateral where both pairs of opposites sides are paral…

a quadrilateral whoses consecutive angles are supplementary

a quadrilateral where both pairs of opposite sides are congru…

a quadrilateral where both pairs of opposite angles congruent

parallelogram

a quadrilateral where both pairs of opposites sides are paral…

parallelogram

a quadrilateral whoses consecutive angles are supplementary

Ratio

Proportion

Means

Extremes

Comparison of two numbers, a/b, a:b, a to b

equation that sets two ratios equal

denominator of first ratio, numerator of second ratio

Numerator of first ratio, denominator of second ratio

Ratio

Comparison of two numbers, a/b, a:b, a to b

Proportion

equation that sets two ratios equal

polygon

sides of a polygon

vertices

convex

a closed plane figure with at least 3 sides that each interse…

segments that form the polygon

where two sides of a polygon meet

no line that contains a side of the polygon contains a point…

polygon

a closed plane figure with at least 3 sides that each interse…

sides of a polygon

segments that form the polygon

Opposite sides of a parallelogram are...

Angles of a polygon that share a side…

Opposite angles of a parallelogram are…

Given a parallelogram how do the diago…

congruent

consecutive angles

congruent

They bisect each other

Opposite sides of a parallelogram are...

congruent

Angles of a polygon that share a side…

consecutive angles

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 pol…

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.

____ sides of a parallelogram are cong…

opposite angles of a parallelogram are…

diagonals of a parallelogram

If three or more parallel lines cut of…

opposite

congruent

bisect each other

they cut off congruent segments on every transversal

____ sides of a parallelogram are cong…

opposite

opposite angles of a parallelogram are…

congruent

diameter

diagonal

right trapezoid

two-dimensional

a line segment drawn through the center of a circle with both…

a segment that connects any two vertices of the polygon but i…

a trapezoid with exactly two right angles

a figure that lies on a flat surface that has length and width

diameter

a line segment drawn through the center of a circle with both…

diagonal

a segment that connects any two vertices of the polygon but i…

Concave

Regular Polygon

Diagonal

Vertex of a Polygon

A polygon in which a diagonal can be drawn such that part of…

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…

Regular Polygon

A quadrilateral that is both equilateral and equiangular.

polygon

vertex of a polygon

consecutive vertices

diagonal

A closed plane figure formed by three or more line segments t…

the point where two sides of a polygon meet

two vertices that are endpoints of the same side of a polygon

A line segment connecting non-adjacent nonconsecutive vertice…

polygon

A closed plane figure formed by three or more line segments t…

vertex of a polygon

the point where two sides of a polygon meet

Polygon

Convex

Concave

Vertice Order

A plane figure that meets the conditions:... -Formed by 3 or se…

No spaces when you wrap a rubber band around the shape.

Spaces when you wrap a rubber band around the shape.

List vertices in order around the polygon.

Polygon

A plane figure that meets the conditions:... -Formed by 3 or se…

Convex

No spaces when you wrap a rubber band around the shape.

Proportion

Means

Extremes

Geometric Mean

An equation that states that two ratios are equal

In a proportion, the denominator of the first equation and th…

In a proportion, the numerator of the first equation and the…

A positive number that satisfies the proportion a/x= x/b; x =…

Proportion

An equation that states that two ratios are equal

Means

In a proportion, the denominator of the first equation and th…

base angles of a trapezoid

isosceles trapezoid

kite

midsegment of a trapezoid

each pair of adjacent angles to a base

whose nonparallel opposite sides are congruent.

is a quadrilateral with two pairs of congruent adjacent sides…

is the segment that joins the midpoints of the nonparallel op…

base angles of a trapezoid

each pair of adjacent angles to a base

isosceles trapezoid

whose nonparallel opposite sides are congruent.

Ratio

Proportion

Means

Extremes

A comparison of values written in reduced form:... 3:5, 3 to 5

Set two ratios equal. Can solve it by cross multiplying: 2(x)…

The denominator of the 1st ratio and numerator of the second,…

The numerator of the 1st and the denominator of the 2nd. The…

Ratio

A comparison of values written in reduced form:... 3:5, 3 to 5

Proportion

Set two ratios equal. Can solve it by cross multiplying: 2(x)…

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

Coordinate proof

Equiangular polygon

Equilateral polygon

Isosceles trapezoid

using coordinate geometry and algebra to prove theorems in ge…

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 ge…

Equiangular polygon

a polygon with all angles congruent

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

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 poly…

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.

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 perimete…

If the corresponding side lengths of two triangles are propor…

If an angle of one triangle is congruent to an angle of a sec…

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

Theorem 6.1

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

Side-Side-Side (SSS) Similarity Theorem

If the corresponding side lengths of two triangles are propor…

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 ba…

Base

The parallel sides of a trapezoid.

Base Angle of a trapezoid

Trapezoid angles formed by the base and one of the legs.

Bases

Base angles

Diagonals

Isosceles trapezoid

The parallel sides of a trapezoid

The angles on either side of a base

The line between two non adjacent vertices in a polygon; it c…

A trapezoid whose legs are congruent

Bases

The parallel sides of a trapezoid

Base angles

The angles on either side of a base

midsegment (6.4)

midpoint (1.3)

perpendicular ... bisector (6.1)

equidistant (6.1

Connects the midpoints of two sides in a triangle. It is para…

A point that divides a segment into two congruent pieces (in…

A line that is perpendicular to a segment at its midpoint (cu…

The same distance

midsegment (6.4)

Connects the midpoints of two sides in a triangle. It is para…

midpoint (1.3)

A point that divides a segment into two congruent pieces (in…

Define: Polygon

Name 2 things a polygon MUST be

Name 2 things a polygon CAN'T be

Explain: Side of a polygon

closed plane figure formed by three or more line segments

1. connected ... 2. straight

1. be open... 2. curved

Segements that form polygons

Define: Polygon

closed plane figure formed by three or more line segments

Name 2 things a polygon MUST be

1. connected ... 2. straight

polygon interior angles sum

diagonal of a polygon

polygon exterior angles sum

parallelogram

sum of inter angles of convex n-gon is (n-2)180

A segment that joins two nonconsecutive vertices of a polygon

The sum of the measures of the exterior angles of a convex po…

A quadrilateral with two pairs of parallel sides

polygon interior angles sum

sum of inter angles of convex n-gon is (n-2)180

diagonal of a polygon

A segment that joins two nonconsecutive vertices of a polygon

midsegment (6.4)

midpoint (1.3)

perpendicular bisector (6.1)

equidistant (6.1)

Connects the midpoints of two sides in a triangle. It is para…

A point that divides a segment into two congruent pieces (in…

A line that is perpendicular to a segment at its midpoint (cu…

The same distance

midsegment (6.4)

Connects the midpoints of two sides in a triangle. It is para…

midpoint (1.3)

A point that divides a segment into two congruent pieces (in…

Concurrent Lines

Angle Bisector

Perpendicular Bisector

Median

3 or more lines that intersect at one point

a segment that suts an angle in half

a segment bisector that is also perpendicular to the segment

a segment that joins a vertex of a triangle and the midpoint…

Concurrent Lines

3 or more lines that intersect at one point

Angle Bisector

a segment that suts an angle in half

Altitude

angle bisector

base

centroid

A perpendicular segment in which one endpoint is a vertex of…

A ray whose endpoint is the vertex and is located in the inte…

The side opposite the vertex angle

The point of intersection of the 3 medians of a triangle

Altitude

A perpendicular segment in which one endpoint is a vertex of…

angle bisector

A ray whose endpoint is the vertex and is located in the inte…

Ratios

Equivalent Ratios

Proportion

Means of the Proportion

expressed in simplest form

2 ratios that have the same simplified form

an equation that states that 2 ratios are equal... - 2/6 = 1/3

numbers b and c

Ratios

expressed in simplest form

Equivalent Ratios

2 ratios that have the same simplified form

Parallelogram

Rhombus

Rectangle

Square

A quadrilateral with two pairs of parallel sides. You can cho…

A parallelogram with four congruent sides.

A parallelogram with four right angles.

A parallelogram with four congruent sides and four right angl…

Parallelogram

A quadrilateral with two pairs of parallel sides. You can cho…

Rhombus

A parallelogram with four congruent sides.

midsegment

midpoint

perpendicular bisector

equidistant

Connects the midpoints of two sides in a triangle. It is para…

A point that divides a segment into two congruent pieces (in…

A line that is perpendicular to a segment at its midpoint (cu…

The same distance

midsegment

Connects the midpoints of two sides in a triangle. It is para…

midpoint

A point that divides a segment into two congruent pieces (in…

Dilation

Scale factor of a dilation

Similar polygons

Scale factor of two similar polygons

a transformation that preserves angle measures and results in…

in a dilation, the ratio of a side length of the image to the…

two polygons such that their corresponding angles are congrue…

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

Dilation

a transformation that preserves angle measures and results in…

Scale factor of a dilation

in a dilation, the ratio of a side length of the image to the…

Polygon

Sides

Consecutive vertices

Diagonal

a plane figure that is formed by three or more segments

segment of a pdygon

two vertices that are endpoint of the same sides

a segment that joins two nonconsecutive vertices of a polygon…

Polygon

a plane figure that is formed by three or more segments

Sides

segment of a pdygon

Alternate Exterior Angles

Alternate Interior Angles

Congruent Circles

Congruent Quadrilaterals

Angles on the exterior of the two lines and on opposite sides…

Angles on the interior of the two lines and on opposite sides…

Circles with congruent radii

Quadrilaterals with all corresponding parts congruent

Alternate Exterior Angles

Angles on the exterior of the two lines and on opposite sides…

Alternate Interior Angles

Angles on the interior of the two lines and on opposite sides…

Polygon

Diagonal

Convex Polygon

Concave Polygon

A closed plane figure formed by three or more segments.

A segment that connects two nonconsecutive vertices.

No diagonal of a polygon contains points outside the polygon.…

A polygon with a diagonal contains points outside the polygon…

Polygon

A closed plane figure formed by three or more segments.

Diagonal

A segment that connects two nonconsecutive vertices.