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In ∆JXP ≅ ∆MQB, what are the corresponding congruent parts for each segment or angle below?

1 Answer

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Final answer:

Corresponding parts of congruent triangles ΔJXP and ΔMQB are determined by their positioning in the congruence statement. Each matching vertex represents a congruent angle, and each matching position in the triangle sides represents a congruent side.

Step-by-step explanation:

When triangles are congruent, it means all their corresponding sides and angles are equal in measure. Given the congruence statement ΔJXP ≅ ΔMQB, we can find the corresponding congruent parts by matching the positions of the vertices in the statement of congruence. The first vertex of ΔJXP corresponds to the first vertex of ΔMQB, the second to the second, and the third to the third.

J corresponds to M: so angle J is congruent to angle M.

X corresponds to Q: so angle X is congruent to angle Q, and side JX is congruent to side MQ.

P corresponds to B: so angle P is congruent to angle B, and side JP is congruent to side MB, and XP is congruent to QB.

In ∆JXP ≅ ∆MQB, the corresponding congruent parts for each segment or angle are:

Segment JP is congruent to segment MB

Segment XP is congruent to segment QB

Angle ∠JXP is congruent to angle ∠MQB

answered
User Aguyngueran
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