Question

Copy and complete the two-column proof. 19. Given Prove B AD= 63, BC = 41, AB = CD CD = 11 63- 41 STATEMENTS 1. AD=63, BC = 41, AB = CD 2. AD=AC CD AC=AB + BC 3.63=CO+ 41 4. 63=CD+41+CD - 5. 63 = 2CD +41 6. 7. 11=CD D REASONS 1. Given 2. Segment Addition Postulate 3. Substitution Property of Equality 4. Substitution Property of Equality 5. 6. Subtraction Property of Equality 7. Division Property of Equality​

Answer 1

The completed two-column proof;

5. Addition property of equality

6. 63 - 41 = 2CD

What is the missing statement and reason in the proof?

Given: AD= 63, BC = 41, AB = CD

Prove: CD = 11

Statements:

1. AD=63, BC = 41, AB = CD

Reasons:

Given

Statements:

2. AD=AC CD AC=AB + BC

Reasons:

Segment Addition Postulate

Statements:

3. 63 = CD + 41 .

Reasons:

Substitution Property of Equality

Statements:

4. 63=CD+41+CD

Reasons:

Substitution Property of Equality

Statements:

5. 63 = 2CD +41

Reasons:

Addition property of equality

Statements:

6. 63 - 41 = 2CD

Reasons:

Subtraction property of equality

Statements:

7. 11 = CD

Reasons:

Division property of equality