# Study sets matching "geometry properties"

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Reflexive Property

Symmetric Property

Transitive Property

Congruent Supplementaries

When anything is congruent or equal to itself

When you switch the order of two things that are congruent or…

If A equals B and B equals C then A equals C

If two angles are supplements of the same angle then they are…

Reflexive Property

When anything is congruent or equal to itself

Symmetric Property

When you switch the order of two things that are congruent or…

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

line

line segment

ray

plane

had no width, extends infinitely in opposite directions

part of a line with 2 endpoints

part of a line with 1 endpoint, extends infinitely in the oppo…

extends infinitely in ALL directions

line

had no width, extends infinitely in opposite directions

line segment

part of a line with 2 endpoints

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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 of opposite sides are parall…

Both pairs of opposite sides are congru…

Both pairs of opposite angles are congr…

All 4 pairs of same side interior angle…

Parallelogram Square Rhombus Rectangle

Parallelogram Rhombus Rectangle Square

Parallelogram Rhombus Rectangle Square

Parallelogram Rhombus Rectangle Square

Both pairs of opposite sides are parall…

Parallelogram Square Rhombus Rectangle

Both pairs of opposite sides are congru…

Parallelogram Rhombus Rectangle Square

circle

center

chord

diameter

all points equidistant(radius) from one point(center)

point stationary in a circle; circle is named by the center

a segment that connects two points on the circle

a segment connecting two points on a circle and is through the…

circle

all points equidistant(radius) from one point(center)

center

point stationary in a circle; circle is named by the center

Vertical Angles

Linear Pair Postulate

Triangle Sum Theorem

Definition of Complementary

Vertical Angles are congruent

Angles that forma a linear pair are supplementary

the sum of the interior angles of a triangle is 180 degrees

two angles whose measures add to 90 degrees

Vertical Angles

Vertical Angles are congruent

Linear Pair Postulate

Angles that forma a linear pair are supplementary

properties of a parallelogram

properties of a parallelogram

properties of a parallelogram

properties of a parallelogram

opposite sides are //

opposite sides are congruent

opposite angles are congruent

diagonals bisect each other

properties of a parallelogram

opposite sides are //

properties of a parallelogram

opposite sides are congruent

kite

vertex angles (of a kite)

nonvertex angles (of a kite)

trapezoid

A quadrilateral with exactly two distinct pairs of congruent c…

The angles between the pairs of congruent sides.

The two angles between consecutive noncongruent sides of a kit…

A quadrilateral with exactly one pair of parallel sides.

kite

A quadrilateral with exactly two distinct pairs of congruent c…

vertex angles (of a kite)

The angles between the pairs of congruent sides.

Parallelogram

Rectangle

Kite

Rhombus

1.) Opposite sides are parallel... 2.) Opposite sides are congrue…

0.) Rectangle is a parallelogram (#1-5)... 1.) Opposite sides are…

1.) Two disjoint pairs of consecutive sides are congruent ... 2.)…

0.) Rhombus is a parallelogram (#1-5)... 1.) Opposite sides are p…

Parallelogram

1.) Opposite sides are parallel... 2.) Opposite sides are congrue…

Rectangle

0.) Rectangle is a parallelogram (#1-5)... 1.) Opposite sides are…

circle

center

chord

diameter

all points equidistant(radius) from one point(center)

point stationary in a circle; circle is named by the center

a segment that connects two points on the circle

a segment connecting two points on a circle and is through the…

circle

all points equidistant(radius) from one point(center)

center

point stationary in a circle; circle is named by the center

Addition Property

Subtraction Property

Multiplication Property

Division Property

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

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

Subtraction Property

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

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

distributive property

addition property of equality

reflexive property of equality

symmetric property of equality

a(b + c) = ab + ac

If you add the same number to each side of an equation, the tw…

A quantity is equal to itself

If a = b, then b = a

distributive property

a(b + c) = ab + ac

addition property of equality

If you add the same number to each side of an equation, the tw…

Additive Axiom of Zero

Multiplication Axiom of Inequality

Transitive Axiom of Equality

Subtraction Axiom of Inequality

There is a unique real number, symbolized "0", such that for a…

If 2x >3, then -5(2x) < 3( -5)

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

If 2x >3, then 2x - 1 < 3-1

Additive Axiom of Zero

There is a unique real number, symbolized "0", such that for a…

Multiplication Axiom of Inequality

If 2x >3, then -5(2x) < 3( -5)

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…

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)

Quadrilateral

Parallelogram

Rectangle

Rhombus

A polygon with four sides.

1.) 2 pairs of opposite sides congruent.... 2.) 2 pairs of opposi…

1.) All properties of a parallelogram.... 2.) 1 right angle.... 3.)…

1.) All properties of a parallelogram.... 2.) Consecutive sides a…

Quadrilateral

A polygon with four sides.

Parallelogram

1.) 2 pairs of opposite sides congruent.... 2.) 2 pairs of opposi…

tangent segment

tangent circles

internally tangent circles

externally tangent circles

A line segment that lies on a tangent line with one endpoint a…

Circles that are tangent to the same line at the same point.

Two tangent circles having centers on the same side of their c…

Two tangent circles having centers on opposite sides of their…

tangent segment

A line segment that lies on a tangent line with one endpoint a…

tangent circles

Circles that are tangent to the same line at the same point.

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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…

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.