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 2. AC = AC 3. ?2 = ?3 4. ?ACD ? ?CAB 5. ?1 = ?4 6. AB || DC If Lines are Parallel, then Alternate Interior Angles are Equal. If Alternate Interior Angles are Congruent, then Lines are Parallel. CPCTE (Corresponding Parts of Congruent Triangles are Equal) Reflexive Property of Equality SAS (Side-Angle-Side) Given

          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
2. AC = AC
3. ?2 = ?3
4. ?ACD ? ?CAB
5. ?1 = ?4
6. AB || DC
If Lines are Parallel, then Alternate Interior Angles are Equal.
If Alternate Interior Angles are Congruent, then Lines are Parallel.
CPCTE (Corresponding Parts of Congruent Triangles are Equal)
Reflexive Property of Equality
SAS (Side-Angle-Side)
Given

Show more…

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
2. AC = AC
3. ?2 = ?3
4. ?ACD ? ?CAB
5. ?1 = ?4
6. AB || DC
If Lines are Parallel, then Alternate Interior Angles are Equal.
If Alternate Interior Angles are Congruent, then Lines are Parallel.
CPCTE (Corresponding Parts of Congruent Triangles are Equal)
Reflexive Property of Equality
SAS (Side-Angle-Side)
Given

Added by Nieves T.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Kathleen Carty

12/13/2022

Step 1

AD || BC, AD = CB - This is given in the problem statement. So, the reason is (F. Given). Show more…

Show all steps

lock

Thanks for your feedback!

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 2. AC = AC 3. ∠2 = ∠3 4. ΔACD ≅ ΔCAB 5. ∠1 = ∠4 6. AB || DC If Lines are Parallel, then Alternate Interior Angles are Equal. If Alternate Interior Angles are Congruent, then Lines are Parallel. CPCTE (Corresponding Parts of Congruent Triangles are Equal) Reflexive Property of Equality SAS (Side-Angle-Side) Given

Play audio

Feedback

Powered by NumerAI

Kathleen Carty and 79 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later