Geometry
Homework Lesson 2.4
Name _________________________________________
Use the given property to complete each statement.
1. Addition Property of Equality
2. Subtraction Property of Equality
If 2x – 5 = 10, then 2x = _________.
3. Symmetric Property of Equality
If 5x + 6 = 21, then _______ = 15.
4. Symmetric Property of Congruence
If H  K , then _________  H
If AB = YU, then _________________.
5. Reflexive Property of Equality.
6. Distributive Property
PQR  ____________.
3(x – 1) = 3x - _____________.
7. Substitution Property
If LM = 7 and EF + LM = NP,
8. Transitive Property
If XYZ  AOB and
AOB  WYT , then ________________________.
then, __________ = NP.
Give a reason for each step.
9.
1. 2(x – 5) = 10
1. Given
10.
1. 4x + 15 + x = -4
1. Given
2. 2x – 10 = 10
2. __________________
2. 5x + 15 = -4
2. _____________________
3. 2x = 20
3. _________________
3. 5x = -19
3. ______________________
4. x = 10
4. _________________
4. x =
19
5
4. ______________________
11.
4 + 2x
A
15 - x
B
Given: AC = 21
C
1. AB + BC = AC
1. __________________
2. (4 + 2x) + (15 – x) = 21
2. __________________
3. 19 + x = 21
3. __________________
4. x = 2
4. _________________
12.
1.
CDE  EDF  180
1. ___________________
2. x + (3x + 20) = 180
2. ___________________
3. 4x + 20 = 180
3. ____________________
4. 4x = 160
4. ___________________
5. x = 40
5. ______________________
13.
Given: XY = 42
1. XZ + ZY = XY
1. ____________________________
2. 3(n + 4) + 3n = 42
2. ____________________________
3. 3n + 12 + 3n = 42
3. _____________________________
4. 6n + 12 = 42
4. _____________________________
5. 6n = 30
5. ______________________________
6. n = 5
6. ______________________________
14.
Given: C is the midpoint of AD
1.
C is the midpoint of AD
1. ____________________________
2. AC = CD
2. ____________________________
3. 4x = 2x + 12
3. ____________________________
4. 2x = 12
4. ___________________________
5. x = 6
5. ___________________________
15.
Given:
1.
GFI = 128
GFE  EFI  GFI
1. _________________________
2. _________________________
2. Substitution
3. 13x - _______ = 128
3. ___________________________
4. 13x = _________
4. ____________________________
5. x = ___________
5. _____________________________
16. Jeremy claims that the statements LR  RL and CBA  ABC are both true by the Reflexive Property. Explain why
Jeremy is correct. Use complete sentences.
______________________________________________________________________________________________________
________________________________________________________________________________________________________
________________________________________________________________________________________________________
17. Use what you know about transitive properties to complete the following:
The Transitive Property of Falling Dominoes: (picture knocking down a set of dominos lined up one after the other)
If domino A causes domino B to fall, and domino B cause domino C to fall, then domino A causes domino ________ to fall.