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)

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Savannah 2 weeks 2022-01-12T18:16:12+00:00 2 Answers 0 views 0

Answers ( )

    0
    2022-01-12T18:17:21+00:00

    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

    0
    2022-01-12T18:18:08+00:00

    Answer:

    Step-by-step explanation:

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