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Give the reason for each statement in the proof. Statements may be used more than once and not all statements will be used.

GIVEN: QM¯¯¯¯¯¯¯¯¯ ∥ OP¯¯¯¯¯¯¯¯
PROVE: △QNM ∼ △ONP


STATEMENTS REASONS
1. QM¯¯¯¯¯¯¯¯¯ ∥ OP¯¯¯¯¯¯¯¯ 1. Response area
2. ∠MQN ≅ ∠PON 2. Response area
3. ∠MNQ ≅ ∠PNO 3. Response area
4. △QNM ∼ △ONP 4. Response area

Please Quick And Real Answers Give The Reason For Each Statement In The Proof Statements May Be Used More Than Once And Not All Statements Will Be Used GIVEN QM class=

Sagot :

ujalakhan18

Answer:

Reason 1: Given

It is already given that QM ║ OP

Reason 2: Alternate interior angles

Since ∠MQN and ∠PON are alternate interior angles, they are congruent.

Reason 3: Vertical angles

∠MNQ and ∠PNO are vertically opposite angles and hence, due to that, equal.

Reason 4: AA postulate

2 Angles of the triangle are congruent. which makes the triangle congruent by AA (Angle-Angle) Postulate.

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