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Mathematics, 05.10.2020 23:01 Officialavm

A conjecture and the paragraph proof used to prove the conjecture are shown. Given: J K L M is a parallelogram. Angle two is congruent to angle 3. Prove: angle 1 is congruent to angle 3. Parallelogram J K L M with an interior angle at vertex M labeled as 1. The horizontal side ML extended horizontally right forming an exterior angle labeled as 2. A ray extended diagonally down to the left from ML through midpoint of ray forming an exterior angle labeled as 3.

Drag an expression or phrase to each box to complete the proof.

It is given that JKLM is a parallelogram, so JM¯¯¯¯¯¯∥KL¯¯¯¯¯ by the Response area. Therefore, ∠1 ≅∠2 by the corresponding angles postulate. Also, it is given that Response area ≅∠3, so ∠1≅ Response area by the Response area.

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A conjecture and the paragraph proof used to prove the conjecture are shown.

Given: J K L M is a

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