## Match the reasons with the statements in the proof to prove AB || DC , given that AD is parallel to BC and AD = CB . Given

Question

Match the reasons with the statements in the proof to prove AB || DC , given that AD is parallel to BC and AD = CB .

Given:

AD || BC

AD = CB

Prove:

AB || DC

1. AD || BC, AD = CB (A. If Lines are Parallel, then Alternate Interior Angles are Equal.)

2. AC = AC (B. If Alternate Interior Angles are Congruent, then Lines are Parallel.)

3. 2 = 3 (C. CPCTE)

4. ACD = CAB (D. Reflexive Property of Equality)

5. 1 = 4 (E. SAS)

6. AB || DC (F. Given)

in progress
0

Math
2 weeks
2022-01-12T18:16:12+00:00
2022-01-12T18:16:12+00:00 2 Answers
0 views
0
## Answers ( )

Answer:

Option 4

Step-by-step explanation:

They are matching sides of congruent triangles.

Since AD is parallel to BC,

and AD is equal in length with BC

So therefore a diagonal drawn from A to C forms congruent triangles of ACD = CAB making it a reflexive property of equality

So therefore:

AB is parallel to CD

Answer:Step-by-step explanation: