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Given ad = bc and ad = bc prove abcd is a parallelogram

Given ad = bc and ad = bc prove abcd is a parallelogram-example-1
User Galaxigirl
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2 Answers

4 votes

Answer:

Here you go.

Explanation:

Given ad = bc and ad = bc prove abcd is a parallelogram-example-1
User Hedinn
by
4.6k points
7 votes

Answer:

See below

Explanation:

Proof:

Statements | Reasons

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.

User Saral
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