# Study sets matching "proofs math geometry"

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SSS

SAS

Angle addition postulate

Segment Addition Postulate

postulate stating that when two triangles have corresponding s…

Triangles are congruent if any pair of corresponding sides and…

If point B lies in the interior of angle AOC, then. . The post…

SAP, if B is between segment AC, then AB+BC=AC

SSS

postulate stating that when two triangles have corresponding s…

SAS

Triangles are congruent if any pair of corresponding sides and…

triangle sum theorem

exterior angle theorem

definition of congruent triangles

Third angles theorem

the some of interior angles in a triangle is 180 degrees

an exterior angle is equal to the sum of the two remote interi…

two polygons are congruent if and only if all pairs of corresp…

if two angles on one triangle are congruent to the two angles…

triangle sum theorem

the some of interior angles in a triangle is 180 degrees

exterior angle theorem

an exterior angle is equal to the sum of the two remote interi…

Definition of Congruence

Definition of a Midpoint

Definition of Angle Bisector

Definition of Perpendicular Lines

Having the exact same size and shape and there by having the e…

The point that divides a segment into two congruent halves.

The ray that divides an angle into two congruent halves.

Lines that intersect to form right angles or 90 degrees.

Definition of Congruence

Having the exact same size and shape and there by having the e…

Definition of a Midpoint

The point that divides a segment into two congruent halves.

Isosceles triangle

equilateral triangle

right triangle

rhombus

show that 2 sides are =. Use distance formula

show that 3 sides are =. Use distance formula

show that there is 1 right angle. Use slope formula

show that 4 sides are =. Use distance formula

Isosceles triangle

show that 2 sides are =. Use distance formula

equilateral triangle

show that 3 sides are =. Use distance formula

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

Right Angle Congruence Theorem(RACT)

Vertical Angle Congruence Theorem(VACT)

Linear Pair Postulate(LPP)

Congruent (Comp.,Supp.) theorem

right angles are congruent

vertical angles are congruent

if 2 angles are a linear pair then they are supplementary

If two angles are (Comp.,Supp.) of the same angle then they ar…

Right Angle Congruence Theorem(RACT)

right angles are congruent

Vertical Angle Congruence Theorem(VACT)

vertical angles are congruent

What is the slope of a line perpendicul…

What is the slope of a line perpendicul…

Parallel lines have the same slope.

Perpendicular lines have slopes that ar…

zero

zero

Parallel lines have the same slope.

Perpendicular lines have slopes that are negative reciprocals…

What is the slope of a line perpendicul…

zero

What is the slope of a line perpendicul…

zero

Isosceles triangle

Equilateral triangle

Right triangle

What type of lines form a right angle?

SHOW: ... - 2 sides = ... FORMULA: ... - Distance

SHOW:... - 3 sides = ... FORMULA: ... - Distance

SHOW: ... - 1 right angle... FORMULA: ... - Slope

Perpendicular Lines

Isosceles triangle

SHOW: ... - 2 sides = ... FORMULA: ... - Distance

Equilateral triangle

SHOW:... - 3 sides = ... FORMULA: ... - Distance

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Segment Addition Postulate

Definition of a Congruent

Definition of a Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments or angles that have the same measure (Used when you s…

a line or segment that intersects a segment or angle and divid…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent

Segments or angles that have the same measure (Used when you s…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Side-Side-Side Similarity (SSS ~)

Side-Angle-Side Similarity (SAS ~)

Angle-Angle Similarity (AA ~)

Corresponding Angles In Parallel Lines

Where 3 sides of one triangle are proportional to 3 correspond…

Where 2 sides of one triangle are proportional to 2 correspond…

Where 2 angles of one triangle are congruent to 2 angles of an…

Are Congruent

Side-Side-Side Similarity (SSS ~)

Where 3 sides of one triangle are proportional to 3 correspond…

Side-Angle-Side Similarity (SAS ~)

Where 2 sides of one triangle are proportional to 2 correspond…

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

Lin. Pair

Vertical Angles

CA

Triangle Sum Theorem

if two angles form linear pair, they they're SUPPLEMENTARY

Vertical angles are congruent

(corresponding angles) if parallel lines are cut by a transver…

sum of angle measures of a triangle is 180°

Lin. Pair

if two angles form linear pair, they they're SUPPLEMENTARY

Vertical Angles

Vertical angles are congruent

Given, to prove, figure, statements, re…

Given, figure, previous statements

Congruent

Congruent segments

5 parts to a deductive proof

Three sources of statements

Two objects that have the same size and shape

Segments that have equal lengths

Given, to prove, figure, statements, re…

5 parts to a deductive proof

Given, figure, previous statements

Three sources of statements

Isosceles Triangle

Equilateral Triangles

Right Triangle

Rhombus

2 sides are equal, Distance Formula

3 sides are equal, Distance Formula

1 right angle, slope

4 sides are equal, Distance Formula

Isosceles Triangle

2 sides are equal, Distance Formula

Equilateral Triangles

3 sides are equal, Distance Formula

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose measures have a sum of 90 degrees

Two angles whose measures have a sum of 180 degrees

A statement that can be proven

Two angles formed by intercepting lines and facing in the oppo…

Complementary Angles

Two angles whose measures have a sum of 90 degrees

Supplementary Angles

Two angles whose measures have a sum of 180 degrees

Parallelogram

Rectangle

Rhombus

Square

Show: Opposite sides are parallel (slope 4x)

Show: 1 right angle (slope 2x) and Opposite sides are parallel…

Show: 4 sides are congruent (distance 4x)

Show: All sides are congruent (distance 4x) and 1 right angle…

Parallelogram

Show: Opposite sides are parallel (slope 4x)

Rectangle

Show: 1 right angle (slope 2x) and Opposite sides are parallel…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a