# Study sets matching "geometry properties middle math"

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…

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

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

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

Parallelogram

Kite

Trapazoid

Isos Trapazoid

opposite sides congruent... opposite sides parallel... diagonals bis…

2 pairs of consecutive congruent sides... diagonals are perpendic…

1 pair of parallel sides... 1 pair of congruent sides

congruent diagonals... base angle pairs congruent... congruent legs

Parallelogram

opposite sides congruent... opposite sides parallel... diagonals bis…

Kite

2 pairs of consecutive congruent sides... diagonals are perpendic…

Isosceles Trapezoid Properties

Parallelogram Properties

Rectangle Properties

Rhombus Properties

1) Bases are parallel... 2) Legs are congruent... 3) Upper and lower…

1) Both paris of opposite sides are parallel... 2) All pairs of c…

1) Both paris of opposite sides are parallel... 2) All pairs of c…

1) Both paris of opposite sides are parallel... 2) All pairs of c…

Isosceles Trapezoid Properties

1) Bases are parallel... 2) Legs are congruent... 3) Upper and lower…

Parallelogram Properties

1) Both paris of opposite sides are parallel... 2) All pairs of c…

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…

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

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

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…

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…

chord

tangent

central angle

major arc

a segment that joins two distinct points on a circle

a line that intersects a circle in only one point

the angle in a circle whose vertex is the center of the circle

an arc with a degree measure greater than 180 degrees

chord

a segment that joins two distinct points on a circle

tangent

a line that intersects a circle in only one point

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

inverse operations

base

dividing fractions

multiplying fractions

operations that undo each other

A substance that decreases the hydrogen ion concentration in a…

· Same as multiplying the reciproca

Multiply the numerators, multiply the denominators, and reduce…

inverse operations

operations that undo each other

base

A substance that decreases the hydrogen ion concentration in a…

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…

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…

definition of congruent segments

definition of congruent angles

definition of right angle

definition of midpoint

AB is congruent to CD... AB is equal to CD

m<ABC = m<DEF... <ABC is congruent to <DEF

<ABC is a right angle... m<ABC = 90 degrees

M is the midpoint of AB... AM is congruent to MB

definition of congruent segments

AB is congruent to CD... AB is equal to CD

definition of congruent angles

m<ABC = m<DEF... <ABC is congruent to <DEF

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.

inverse operations

base

dividing fractions

multiplying fractions

operations that undo each other

A substance that decreases the hydrogen ion concentration in a…

· Same as multiplying the reciproca

Multiply the numerators, multiply the denominators, and reduce…

inverse operations

operations that undo each other

base

A substance that decreases the hydrogen ion concentration in a…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplied…

States that changing the grouping of addends does not change t…

States that changing the grouping of factors does not change t…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplied…

What are 6 ways to prove a parallelogram

What are 2 ways to prove a quadrilateral

What are 2 ways to prove a rectangle

Way to prove a square

- opp sides congruent... - 1 angle suppl. to both consec. angles…

- 4 sides... - angles sum to 360 degrees

All properties of a parallelogram +... - 4 right angles... - congrue…

- All properties of a rectangle and a rhombus

What are 6 ways to prove a parallelogram

- opp sides congruent... - 1 angle suppl. to both consec. angles…

What are 2 ways to prove a quadrilateral

- 4 sides... - angles sum to 360 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…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with the real n…

If B is between A and C, then AB + BC = AC. ... If AB + BC = AC,…

Consider line OB and a point A on one side of line OB. The ray…

Words: If P is in the interior of ∠RST, then the measure of ∠R…

Ruler Postulate

The points on a line can be matched one to one with the real n…

Segment Addition Postulate

If B is between A and C, then AB + BC = AC. ... If AB + BC = AC,…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

States that changing the order in which the numbers are added…

States that changing the order in which numbers are multiplied…

States that changing the grouping of addends does not change t…

States that changing the grouping of factors does not change t…

Commutative Property of Addition

States that changing the order in which the numbers are added…

Commutative Property of Multiplication

States that changing the order in which numbers are multiplied…

Tangent Line to a Circle Theorem

External Tangent Congruence Theorem

Arc Addition Postulate

Congruent Circles Theorem

In a plane, a line is tangent to a circle if and ony if the li…

Tangent segments from a common external point are conruent.

The measure of an arc formed by two adjacent arcs is the sum o…

Two circles are congruent circles if and only if they have the…

Tangent Line to a Circle Theorem

In a plane, a line is tangent to a circle if and ony if the li…

External Tangent Congruence Theorem

Tangent segments from a common external point are conruent.