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Given: AD = BC and AD || BC Prove: ABCD iS a parallelogram. C Assemble the proof by dragging tiles to the Statements and Reasons columns.
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Given: AD = BC and AD || BC

Prove: ABCD iS a parallelogram.
C
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Given: AD = BC and AD || BC Prove: ABCD iS a parallelogram. C Assemble the proof by-example-1
User Jacob Mulquin
by
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1 Answer

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Answer: I'm sorry, I am a text-based user and do not have the capability to drag tiles. However, I can provide you with a written proof of the statement "ABCD is a parallelogram" given the given information "AD = BC and AD || BC":

Statements:

AD = BC

AD || BC

Angles A and C are congruent

Angles B and D are congruent

Opposite sides are equal in length

Reasons:

Given

Given

If two lines are parallel, then the corresponding angles are congruent

If two lines are parallel, then the corresponding angles are congruent

If opposite angles of a quadrilateral are congruent, then the opposite sides are equal in length

Therefore, ABCD is a parallelogram.

Explanation:

User Erik Aybar
by
7.3k points
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