# Study sets matching "geometry properties"

Study sets

Diagrams

Classes

Users

Centroid

Midpoint

Midpoint Line

Circumcenter

Three lines from three midpoints intersecting.

The middle point of a line segment.

A line coming from the midpoint.

The intersection of three perpendicular bisectors.

Centroid

Three lines from three midpoints intersecting.

Midpoint

The middle point of a line segment.

coplanar

collinear

non-coplanar

Midpoint Theorem

points that lie on the same plane (A, B, C, D)

points that lie on the same line (A, F, B)

points that do NOT lie on the same plane (Q, S, T, R)

AM = MB

coplanar

points that lie on the same plane (A, B, C, D)

collinear

points that lie on the same line (A, F, B)

If a + b, then a + b = b + c

If a = b, then a - c = b - c

If a = b, then a(c) = b(c)

If a = b and c doesn't equal zero, then…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of equality

Division Property of Equality

If a + b, then a + b = b + c

Addition Property of Equality

If a = b, then a - c = b - c

Subtraction Property of Equality

Reflexive Property of Equality/Congruen…

Symmetric Property of Equality/Congruen…

Transitive Property of Equality/Congrue…

Substitution Property of Equality

A quantity/geometric figure is equal to itself

An Equality/Congruence may be reversed

If quantities/geometric figures are equal/congruent to the sam…

A quantity may be substituted for its equal in any expression

Reflexive Property of Equality/Congruen…

A quantity/geometric figure is equal to itself

Symmetric Property of Equality/Congruen…

An Equality/Congruence may be reversed

Equilateral Triangle

Isosceles Triangle

right triangle

square

A triangle with all three sides of equal length.

A triangle with two sides of equal length.

A triangle with one right angle.

A quadrilateral with four equal sides and angles at 90 degrees.

Equilateral Triangle

A triangle with all three sides of equal length.

Isosceles Triangle

A triangle with two sides of equal length.

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

If a = b, c not equal to "zero", 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

paragraph proof

auxiliary line

leg (of an isosceles triangle)

slope

A logical explanation presented in the form of a paragraph.

An extra line or line segment drawn in a figure to help in a p…

One of the congruent sides of an isosceles triangle.

In a two-dimensional coordinate system, the ratio of the verti…

paragraph proof

A logical explanation presented in the form of a paragraph.

auxiliary line

An extra line or line segment drawn in a figure to help in a p…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be put into a one-to-one corresponden…

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

Given line AB and point O on line AB, all rays that can be dra…

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Segment Addition Postulate

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

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Consecutive angles are supplements

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 are congruent

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

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≠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

Addition Property

Subtraction Property

Substitution Property

Reflexive Property

You can add EQUAL things to both sides of an EQUATION... "If a =…

You can subtract EQUAL things from both sides of an EQUATION... "…

If two number are EQUAL, then they can be substituted for one…

Any number equals itself

Addition Property

You can add EQUAL things to both sides of an EQUATION... "If a =…

Subtraction Property

You can subtract EQUAL things from both sides of an EQUATION... "…

Quadrilateral

Kite (1)

Isosceles Trapezoid (4)

Parallelogram (1)

a four sided figure

Kite Two pairs of sides are of equal length. The pair can neve…

The bases (top and bottom) of an isosceles trapezoid are paral…

Opposite sides are parallel by definition.

Quadrilateral

a four sided figure

Kite (1)

Kite Two pairs of sides are of equal length. The pair can neve…

Parallelogram

Rhombus

Rectangle

Square

**Sides:**... 1. opposite sides are parallel and congruent... *Angle…

**Sides:**... 1. opposite sides are parallel... 2. all 4 sides are c…

**Sides:**... 1. opposite sides are parallel and congruent... *Angles…

**Sides:**... 1. all 4 sides are congruent... 2. opposite sides are…

Parallelogram

**Sides:**... 1. opposite sides are parallel and congruent... *Angle…

Rhombus

**Sides:**... 1. opposite sides are parallel... 2. all 4 sides are c…

Properties of Parallelogram:

Properties of Rectangles:

Properties of Rhombuses:

Properties of Squares:

1. The parallel sides are parallel by definition.... 2. The oppos…

1. All the properties of a parallelogram apply by definition.…

1. All the properties of a parallelogram apply by definition.…

1. All the properties of a rectangle apply by definition.... 2. A…

Properties of Parallelogram:

1. The parallel sides are parallel by definition.... 2. The oppos…

Properties of Rectangles:

1. All the properties of a parallelogram apply by definition.…

Reflexive Property

Symmetric Property

Substitution Property

Transitive Property

A quantity is congruent (equal) to itself. a = a

if a=b, then b=a

If a=b, then b can replace a in any expression.

If a=b and b=c, then a=c

Reflexive Property

A quantity is congruent (equal) to itself. a = a

Symmetric Property

if a=b, then b=a

reflexive property

symmetric property

transitive property

addition property

a quantity is equal to itself- a=a

if a=b then b=a

if a=b and b=c then a=c

if equal quantities are added to equaequal quantities the sums…

reflexive property

a quantity is equal to itself- a=a

symmetric property

if a=b then b=a

Reflexive property of equality

Symmetric property of equality

Transitive property of equality

Substitution property of equality

Anything that is equal to itself (a=a) ; Reflect=mirror

Flip things around with a equals sign (2x=a)

Train effect, if a=b and b=c then a=c

Allows you to substitute with an equivalent value (7+15+2x, 22…

Reflexive property of equality

Anything that is equal to itself (a=a) ; Reflect=mirror

Symmetric property of equality

Flip things around with a equals sign (2x=a)

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

If the same amount of something is added to both sides of an e…

if the same amount of something is subtracted to both sides of…

if both sides of an a equation are multiplied by the same amou…

if both sides of an equation are divided by the same amount of…

addition property of equality

If the same amount of something is added to both sides of an e…

subtraction property of equality

if the same amount of something is subtracted to both sides of…