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Given: AD = BC and AD || BC

Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.


User Mkjasinski
by
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2 Answers

5 votes

Answer:

AD ≅ BC | Given

AD ║ BC | Given

AC ≅ AC | Reflexive Property

∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA | S.A.S Postulate

BA ≅ DC | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm | If a quad. has its opposite sides

| congruent, the quad. is a parallelogram.

Explanation:

User FlamingLogos
by
6.5k points
1 vote

Explanation:

Sorry I'm late I hope that helps:)

Given: AD = BC and AD || BC Prove: ABCD is a parallelogram. Angles Segments Triangles-example-1
Given: AD = BC and AD || BC Prove: ABCD is a parallelogram. Angles Segments Triangles-example-2
User Bdargan
by
6.2k points