# Study sets matching "geometry properties middle math"

Study sets

Diagrams

Classes

Users

Conditional

Converse

Counterexample

Biconditional

An "if-then" statement

Switches the order of the hypothesis and the conclusion of a c…

An example that proves a statement is false

An "if and only if" statement

Conditional

An "if-then" statement

Converse

Switches the order of the hypothesis and the conclusion of a c…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Adding the same number to each side of an equation produces on…

Subtracting the same number from each side of an equation prod…

Multiplying both sides of an equation by the same number produ…

Dividing both sides of an equation by the same number produces…

Addition Property of Equality

Adding the same number to each side of an equation produces on…

Subtraction Property of Equality

Subtracting the same number from each side of an equation prod…

Triangle Longer Side Theorem

Triangle Larger Angle Theorem

Triangle Inequality Theorem

Pythagorean Theorem

If one side of a triangle is longer than another side, then th…

If one angle of a triangle is larger than another angle, then…

The sum of the lengths of any two sides of a triangle is great…

In a right triangle, the square of the length of the hypotenus…

Triangle Longer Side Theorem

If one side of a triangle is longer than another side, then th…

Triangle Larger Angle Theorem

If one angle of a triangle is larger than another angle, then…

acute triangle

obtuse triangle

right triangle

scalene triangle

a triangle that has only angles less than 90 degrees

a triangle with one angle that is greater than 90 degrees

a triangle that has one 90 degree angle

a triangle with no congruent (equal) sides

acute triangle

a triangle that has only angles less than 90 degrees

obtuse triangle

a triangle with one angle that is greater than 90 degrees

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angle…

Polygon Exterior Angles Theorem

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

The sum of the measures of the interior angles of a... quadrilate…

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

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

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

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…

Both pairs pf oppostie sides are parall…

Excactly one pair of opposite sides par…

Both pairs of opposite sides are congru…

Excactly one pair of opposite sides con…

Parallelogram... Rectangle... Rhombus ... Sqaure

Trapezoid... Isosceles trapezoid

Parallelogram... Rectangle... Rhombus ... Square

Isosceles trapezoid

Both pairs pf oppostie sides are parall…

Parallelogram... Rectangle... Rhombus ... Sqaure

Excactly one pair of opposite sides par…

Trapezoid... Isosceles trapezoid

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

if a = b, then a + c = b + c

if a = b, then a − c = b − c

if a = b, then ac = bc

if a = b, c ≠ 0, then a ÷ c = b ÷ c

Addition Property of Equality

if a = b, then a + c = b + c

Subtraction Property of Equality

if a = b, then a − c = b − c

Def. of Right Angle

Def. of a segment bisector

Def. of a midpoint

Def. of angle bisector

<M is a right angle... then <M = 90°

to divide a segment into 2 congruent segments

Point that divides an angle into two congruent segments

to divide an angle into 2 congruent angles

Def. of Right Angle

<M is a right angle... then <M = 90°

Def. of a segment bisector

to divide a segment into 2 congruent segments

Parrallogram

Rectangle

Rhombus

Square

SAD- •opp sides are congruent •opp sides are parallel •opp ang…

•diagonals are congruent •four right angles

•diagonals are // •diagonals bisect the angles •all sides are…

All of the above

Parrallogram

SAD- •opp sides are congruent •opp sides are parallel •opp ang…

Rectangle

•diagonals are congruent •four right angles

Def. congruence

Def complementary angles

Def supplementary angles

Def right angles

If line segments or angles have the same measure then they are…

Two angles are complementary, then their sum is 90

Two angles are supplementary then their sum is 180

Right angles have measure of 90

Def. congruence

If line segments or angles have the same measure then they are…

Def complementary angles

Two angles are complementary, then their sum is 90

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

if a=b, then a+c=b+c

if a=b, then a-c=b-c

if a=b, then ac=bc

if a=b and c is not equal to 0, then a/c=b/c

addition property of equality

if a=b, then a+c=b+c

subtraction property of equality

if a=b, then a-c=b-c

Kite

Isosceles Trapezoid

Parallelogram

Rectangle

-Diagonals are perpendicular... -Exactly one pair of opposite ang…

-Diagonals are congruent... -Base angles are congruent

-Opposite sides are parallel... -Opposite sides are congruent... -Op…

-Opposite sides are parallel... -Opposite sides are congruent... -Op…

Kite

-Diagonals are perpendicular... -Exactly one pair of opposite ang…

Isosceles Trapezoid

-Diagonals are congruent... -Base angles are congruent

opposite sides are parallel

opposite sides congruent

opposite angles congruent

diagonals form two congruent triangles

parallelogram, rectangle, rhombus, square

parallelogram, rectangle, rhombus, square

parallelogram, rectangle, rhombus, square

parallelogram, rectangle, rhombus, square

opposite sides are parallel

parallelogram, rectangle, rhombus, square

opposite sides congruent

parallelogram, rectangle, rhombus, square

If parallelogram then...

If rectangle then...

If rhombus then...

If square then...

... opposite sides parallel, opposite sides congruent, opposit…

... opposite sides parallel, opposite sides congruent, opposit…

... opposite sides parallel, opposite sides congruent, opposit…

... opposite sides parallel, opposite sides congruent, opposit…

If parallelogram then...

... opposite sides parallel, opposite sides congruent, opposit…

If rectangle then...

... opposite sides parallel, opposite sides congruent, opposit…

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.

Parallelogram

Parallelogram

Parallelogram

Parallelogram

Opposite sides are parallel

Opposite side/angles are congruent

Consecutive angles are supplementary

Diagonals bisect each other

Parallelogram

Opposite sides are parallel

Parallelogram

Opposite side/angles are congruent

Parallelogram Properties

Rectangle Properties

Rhombus Properties

Square Properties

1. Opposite sides are congruent... 2. Opposite angles are congrue…

1. All properties of a parallelogram... 2. Diagonals are congruent

1. All properties of a parallelogram... 2. Diagonals are perpendi…

1. All properties of a parallelogram... 2. All properties of a re…

Parallelogram Properties

1. Opposite sides are congruent... 2. Opposite angles are congrue…

Rectangle Properties

1. All properties of a parallelogram... 2. Diagonals are congruent

Triangles

Equilateral

Scalene

Right-Angle

Always has 3 sides/3 angles... - angles add up to 180

- all sides are equal

- all sides are unequal

- one angle being a right-angle

Triangles

Always has 3 sides/3 angles... - angles add up to 180

Equilateral

- all sides are equal

Perimeters of Similar Polygons

Areas of Similar Polygons

Angle-Angle (AA) Similarity Theorem

Side-Side-Side (SSS) Similarity Theorem

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

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

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

If the corresponding side lengths of... two triangles are proport…

Perimeters of Similar Polygons

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

Areas of Similar Polygons

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

Distance

Perimeter

Perimeter of a Square Formula

Perimeter of a Rectangle

The real number associated with the length between points

The distance around a 2-dimensional object. It is from the Gre…

P = 4s

P = 2l + 2h = 2(l + h)

Distance

The real number associated with the length between points

Perimeter

The distance around a 2-dimensional object. It is from the Gre…

Triangle Sum Theorem

Exterior Angle Theorem

Corollary to the Triangle Sum Theorem

Properties of Triangle Congruence

The sum of the measures of the interior angles of a triangle i…

The measure of an exterior angle of a triangle is equal to the…

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.... R…

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle i…

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to the…

base angles of an isosceles triangle

base of an isosceles triangle

coordinate proof

corollary to a theorem

The two angles adjacent to the base of an isosceles triangle.

The side of an isosceles triangle that is not one of the legs.

A style of proof that involves placing geometric figures in a…

A statement that can be proved easily using the theorem.... The…

base angles of an isosceles triangle

The two angles adjacent to the base of an isosceles triangle.

base of an isosceles triangle

The side of an isosceles triangle that is not one of the legs.