Geometry Theorem

Question 1

Segment Addition Postulate

Answer 1

Little Segment + Little Segment= Big Segment

Question 2

Addition Property

Answer 2

If x=y, then x+a=y+a (add on both sides)

Question 3

Angle Add. Post

Answer 3

m< + m<=180 OR Little < + Little <= Big <

Question 4

Subtraction Property

Answer 4

If x+a=y+a, then x=y (subtract on both sides)

Question 5

Substitution Property

Answer 5

Put something in place of something else

Question 6

Reflexive Property

Answer 6

x=x

Question 7

Transitive Property

Answer 7

If 1st=2nd and 2nd=3rd, then 1st=3rd

Question 8

Def. of Comp Angles

Answer 8

If <’s are Comp, then <+<=180

Question 9

Def. of Perp Lines

Answer 9

If perp, then m<=90

Question 10

Symmetric Property

Answer 10

If x=y then y=x

Question 11

Division Property

Answer 11

If a/c =b/c, then c doesn’t = 0 (divide on both sides)

Question 12

Multiplication Property

Answer 12

If a=b then ac=bc (multiply on both sides)

Question 13

Distributive Property

Answer 13

x(y=w)-xy+xw

Question 14

Def. of Midpoint

Answer 14

If Midpoint, then segment=segment

Question 15

Midpoint Theorem

Answer 15

If Midpoint, then little segment= 1/2 big segment

Question 16

Def. of Supp Angles

Answer 16

If supp, then m<+m<=180

Question 17

Def. of Angle Bisector

Answer 17

If ray bisects <, then angle=angle

Question 18

Angle Bisector Theorem

Answer 18

If ray bisects <, then little <=1/2 big <

Question 19

Vertical Angle Theorem

Answer 19

<1 is congruent to <4 (<1 and <4 are not adjacent, they are just opposites.)

Question 20

If Ex, sides of two adjacent angles are perpendicular, then the angles are complementary

Answer 20

If perp, then comp

Question 21

If 2 lines are perpendicular, they form congruent adjacent angles

Answer 21

If perp, then < is congruent to <

Question 22

If 2 lines from congruent adjacent angles, then the lines are perp

Answer 22

If < is congruent to <, then they are perp

Question 23

Congruent Supplements Theorem

Answer 23

If <1 is supp to <2 and <3 is supp

Question 24

Congruent Complements Theorem

Answer 24

If <1 is comp to <2 and <3 is comp to <2

Question 25

Def. of Congruence

Answer 25

If m< = m<, then < is congruent to <

Question 26

Def. of Right Angle

Answer 26

If right <, then m<=90

Question 27

Def. of Segment Bisector

Answer 27

If segment bisects segment, then midpoint