Question

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Answer 1

Answer:

Answer is attached Mark as brainliest pleaseeeeee

Answer 2

Answer:

Yes, ABCD is a parallelogram.

Solved proof is as follows:

Explanation:

Given:

A figure in which:

• l || m
• p || q
• p intersects l at A and m at B
• q intersects l at D and m at C

To prove: Δ ABC ≅ ΔCDA &

To find: Whether ABCD is a parallelogram

Proof:

In Δ ABC and ΔCDA,

• ∠BAC =∠DCA        

( Alternate interior angles when p || q and AC is the transversal)

• AC = CA     (Common)
• ∠BCA  = ∠DAC  

( Alternate interior angles when $l$ || m and AC is the transversal )

∴ By ASA congruency criteria, Δ ABC ≅ ΔCDA

⇒ AD = BC & AB = DC             ( By C.P.C.T )

Now,

As opposite sides of quadrilateral ABCD are equal,

hence, ABCD is a parallelogram.

Hence, proved.

Hope you got that.

Thank You.