Studied by 26 people

5.0(2)

Get a hint

Hint

1

Addition Property of Equality

if a=b, then a+c=b+c

New cards

2

Subtraction Property of Equality

if a=b, then a-c=b-c

New cards

3

Multiplication Property of Equality

if a=b, then ac=bc

New cards

4

Division Property of Equality

if a=b and c≠0, then a/c=a/b

New cards

5

Distributive Property of Equality

a(b+c)=ab+ac, where a, b, and c are real numbers

New cards

6

Substitution Property of Equality

if a=b, then a can be substituted for b in any equation or expression

New cards

7

Simplify

make simpler (combining like terms)

New cards

8

Segment Addition Postulate

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

New cards

9

Angle Addition Postulate

if P is in the interior of ∠RST, then m∠RST=m∠RSP+m∠PST

New cards

10

Linear Pair Postulate

if two angles form a linear pair, then they are supplementary

New cards

11

Reflexive Property of Congruent Segments

for any segment AB, (line) AB≅(line) AB

New cards

12

Symmetric Property of Congruent Segments

If (line) AB≅(line) CD, then (line) CD≅(line) AB

New cards

13

Transitive Property of Congruent Segments

If (line) AB≅(line) CD and (line) CD≅(line) EF, then (line) AB≅(line) EF

New cards

14

Reflexive Property of Congruent Angles

for any angle A, ∠A≅∠A

New cards

15

Symmetric Property of Congruent Angles

if ∠A≅∠B, then ∠B≅∠A

New cards

16

Transitive Property of Congruent Angles

if ∠A≅∠B, and ∠B≅∠C, then ∠A≅∠C

New cards

17

Right Angles Congruence Theorem

all right angles are congruent

New cards

18

Congruent Supplements Theorem

if two angles are supplementary to the same angle (or to congruent angles), then they are congruent

New cards

19

Congruent Complements Theorem

if two angles are complementary to the same angle (or to congruent angles), then they are congruent

New cards

20

Vertical Angles Congruence Theorem

vertical angles are congruent

New cards

21

Definition of Supplementary Angles

the sum of two angles=180º

New cards

22

Definition of Complementary Angles

the sum of two angles=90º

New cards

23

Definition of Vertical Angles

two angles opposite each other when two lines cross, these angles are equal/congruent

New cards

24

Definition of Right Angles

an angle that is 90º

New cards

25

Definition of a Midpoint

the middle of a line segment, both sides of it are congruent/equal

New cards

26

Definition of Perpendicular Lines

two lines that cross each other, creating 90º angles

New cards

27

Definition of Congruent Segments

segments that have the same length

New cards

28

Definition of Congruent Angles

angles that have the same measure

New cards