#### Study sets matching "geometry properties middle math"

#### Study sets matching "geometry properties middle math"

Associative Property of Addition

Associative Property of Mulitplication

Commutative Property of Addition

Commutative Property of Multiplcation

a + (b + c) = (a + b) + c

a (bc) = (ab) c

a + b = b + a

a

**b = b**aAssociative Property of Addition

a + (b + c) = (a + b) + c

Associative Property of Mulitplication

a (bc) = (ab) c

Conditional

Converse

Counterexample

Biconditional

An "if-then" statement

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

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…

Parrallogram

Rectangle

Rhombus

Square

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

•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 an…

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

Kite

Trapazoid

Isos Trapazoid

opposite sides congruent... opposite sides parallel... diagonals bi…

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

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 bi…

Kite

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

Isosceles Trapezoid Properties

Parallelogram Properties

Rectangle Properties

Rhombus Properties

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

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

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

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

Isosceles Trapezoid Properties

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

Parallelogram Properties

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

If parallelogram then...

If rectangle then...

If rhombus then...

If square then...

... opposite sides parallel, opposite sides congruent, opposi…

... opposite sides parallel, opposite sides congruent, opposi…

... opposite sides parallel, opposite sides congruent, opposi…

... opposite sides parallel, opposite sides congruent, opposi…

If parallelogram then...

... opposite sides parallel, opposite sides congruent, opposi…

If rectangle then...

... opposite sides parallel, opposite sides congruent, opposi…

Parallelogram Properties

Rectangle Properties

Rhombus Properties

Square Properties

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

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

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

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

Parallelogram Properties

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

Rectangle Properties

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

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

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…

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 ... equi…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

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

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…

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

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.…

Triangle Sum Theorem

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

Exterior Angle Theorem

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

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angl…

Polygon Exterior Angles Theorem

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

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

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

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 ra…

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

Ruler Postulate

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

Segment Addition Postulate

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

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 t…

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 grea…

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

Triangle Longer Side Theorem

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

Triangle Larger Angle Theorem

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

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

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 l…

Tangent segments from a common external point are conruent.

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

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

Tangent Line to a Circle Theorem

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

External Tangent Congruence Theorem

Tangent segments from a common external point are conruent.

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…

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

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.…

Triangle Sum Theorem

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

Exterior Angle Theorem

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

formula for the 'sum of interior angles'

formula of 'ONE interior angle'

sum of 'EXTERIOR angles' formula

one 'EXTERIOR angle' formula

(n-2)180

(n-2)180/n

always 360 degrees

360/n

formula for the 'sum of interior angles'

(n-2)180

formula of 'ONE interior angle'

(n-2)180/n

inverse operations

base

dividing fractions

multiplying fractions

operations that undo each other

A substance that decreases the hydrogen ion concentration in…

· Same as multiplying the reciproca

Multiply the numerators, multiply the denominators, and reduc…

inverse operations

operations that undo each other

base

A substance that decreases the hydrogen ion concentration in…

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

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 multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

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 multiplie…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 ra…

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

Ruler Postulate

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

Segment Addition Postulate

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

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... - congru…

- 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

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.

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 multiplie…

States that changing the grouping of addends does not change…

States that changing the grouping of factors does not change…

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 multiplie…

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angl…

Polygon Exterior Angles Theorem

Parallelogram Opposite Sides Theorem

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

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

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

If a quadrilateral is a parallelogram, then its opposite side…

Polygon Interior Angles Theorem

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

Corollary to the Polygon Interior... Angl…

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

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…

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 ... equi…

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

Perpendicular Bisector Theorem

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

Converse of the Perpendicular Bisector…

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 ra…

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

Ruler Postulate

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

Segment Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 ra…

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

Ruler Postulate

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

Segment Addition Postulate

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

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Through any 2 points there is exactly…

If 2 different lines intersect, they i…

If 2 different planes intersect, they…

Through any 3 noncollinear points ther…

if line t passes through points A and B, it is the only line…

if points Q, R, S are noncollinear, plane P is the only plane…

Through any 2 points there is exactly…

if line t passes through points A and B, it is the only line…

If 2 different lines intersect, they i…

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…

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

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.…

Triangle Sum Theorem

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

Exterior Angle Theorem

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

Triangle Angle 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…

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

The acute angles of a right triangle are complementary.

Triangle congruence is reflexive, symmetric, and transitive.…

Triangle Angle Sum Theorem

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

Exterior Angle Theorem

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

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…

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 ... equi…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

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

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…

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 ... equi…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

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

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…

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 ... equi…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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 ra…

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

Ruler Postulate

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

Segment Addition Postulate

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

Vertex Angles of a Kite

Legs of a Trapezoid

Midsegment of a Trapezoid

Properties of aTrapezoid

The angles between congruent sides of a kite.

The non-parallel sides of a trapezoid

The segment that contains the midpoints of the legs of the tr…

The midsegment of a trapezoid is parallel to the bases and is…

Vertex Angles of a Kite

The angles between congruent sides of a kite.

Legs of a Trapezoid

The non-parallel sides of a trapezoid

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…

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

If a point lies on the bisector of an angle, then it is ... equi…

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

Perpendicular Bisector Theorem

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

Converse of the Perpendicular Bisector…

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

Definition of Convex Set

Definition of Instance of a Conditional

Definition of Counterexample to a Cond…

Definition of Converse

A set of points in which every segment that connects points o…

A specific case in which both the antecedent (if) and the con…

A specific case for which the antecedent (if) of the conditio…

p ⇒ q = q ⇒ p.

Definition of Convex Set

A set of points in which every segment that connects points o…

Definition of Instance of a Conditional

A specific case in which both the antecedent (if) and the con…

Definition of Reflection-Symmetric Fig…

Flip-Flop Theorem

Segment Symmetry Theorem

Side-Switching Theorem

A plane figure F is a reflection-symmetric figure ⇔ there is…

If F and G are figures or points and the reflection of F over…

Every segment has exactly two symmetry lines including the se…

If one side of an angle is reflected over the line containing…

Definition of Reflection-Symmetric Fig…

A plane figure F is a reflection-symmetric figure ⇔ there is…

Flip-Flop Theorem

If F and G are figures or points and the reflection of F over…

Euclidean Synthetic Geometry

Definition of Distance Between Two Poi…

Euclidean Plane Coordinate Geometry

Discrete Geometry

A point is an exact location... A line is a set of points exten…

The absolute value of the difference of their coordinates.

A point is an ordered pair of real numbers.... A line is the se…

A point is a dot.... A line is a set of dots in a row.

Euclidean Synthetic Geometry

A point is an exact location... A line is a set of points exten…

Definition of Distance Between Two Poi…

The absolute value of the difference of their coordinates.

A-B-C-D Theorem

Definition of Congruent Figures

Definition of Congruent Figures (Alter…

Definition of Directly Congruent Figures

Every Isometry preserves

**A**ngle measure,**B**etweenness,**C**o…Two figures F and G are

**congruent figures**if and only if G…Two figures F and G are

**congruent figures**if and only if G…When figures are congruent and have the same orientation, we…

A-B-C-D Theorem

Every Isometry preserves

**A**ngle measure,**B**etweenness,**C**o…Definition of Congruent Figures

Two figures F and G are

**congruent figures**if and only if 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…

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 ... equi…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

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

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 t…

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 grea…

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

Triangle Longer Side Theorem

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

Triangle Larger Angle Theorem

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

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 l…

Tangent segments from a common external point are congruent.

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

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

Tangent Line to a Circle Theorem

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

External Tangent Congruence Theorem

Tangent segments from a common external point are congruent.