Geometry
Section 2.7 SKILLS CHECK
Name: _______________________________
FILL IN ID AND BUBBLES!!!
For questions 1 – 3, use the proof below.
Given: 𝐴𝐶 ≅ 𝐷𝐹
𝐵𝐶 ≅ 𝐸𝐹
Prove: 𝐴𝐵 ≅ 𝐷𝐸
Statements
1. 𝐴𝐶 ≅ 𝐷𝐹
2. AC = DF
3. 𝐵𝐶 ≅ 𝐸𝐹
4. ______?_________
5. AC – BC = DF – EF
6. AC – BC = AB
7. DF – EF = DE
8. AB = DE
9. 𝐴𝐵 ≅ 𝐷𝐸
Reasons
1. Given
2. Definition of congruent segments
3. Given
4. Definition of congruent segments
5. _____?__________
6. Segment Addition Postulate
7. Segment Addition Postulate
8. Substitution Property
9. _______?_________
Question 1. For the proof shown above, what is the best choice for statement 4?
a. DE = EF
b. AB = DF
c. AB = DE
d. BC = EF
Question 2. For the proof shown above, what is the best choice for reason 5?
a. Subtraction Property of Equality
b. Division Property of Equality
c. Addition Property of Equality
d. Multiplication Property of Equality
Question 3. For the proof shown above, what is the best choice for reason 9?
a. Symmetric Property of Equality
b. Definition of congruent segments
c. Definition of Addition
d. Definition of a line
For questions 4 - 6, use the proof below.
Given: 𝐴𝐵 ≅ 𝐶𝐷
𝐶𝐷 ≅ 𝐸𝐹
Prove: 𝐴𝐵 ≅ 𝐸𝐹
Statements
1. 𝐴𝐵 ≅ 𝐶𝐷
2. 𝐶𝐷 ≅ 𝐸𝐹
3. AB = CD
4. CD = EF
5. _____?_______
6. 𝐴𝐵 ≅ 𝐸𝐹
Reasons
1. Given
2. Given
3. Definition of congruent segments
4. ____?_________
5. Transitive Property
6. _____?__________
Question 4. For the proof shown above, what is the best choice for reason 4?
a. Definition of Addition
b. Symmetric Property (=)
c. Definition of a line
d. Definition of congruent segments
Question 5. For the proof shown above, what is the best choice for statement 5?
a. AB = BA
b. AB = EF
C. AB = CD
Question 6. For the proof shown above, what is the best choice for reason 6?
a. Definition of Addition
b. Definition of congruent segments
c. Definition of a line
d. Symmetric Property (=)
d. CD = EF