Questions: Match each pair of triangles with its congruence rule.

Match each pair of triangles with its congruence rule.
Transcript text: Match each pair of triangles with its congruence rule.
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Solution

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Solution Steps

Step 1: Analyze the first pair of triangles (JMK and KML)

The first pair of triangles shares a side MK. Angles JKM and MKL are congruent, as are angles KJM and KML. Therefore, these triangles are congruent by Angle-Side-Angle (ASA).

Step 2: Analyze the second pair of triangles (NPQ and NQP)

The second pair of triangles shares a side NQ. Sides NP and QP are congruent, as are sides PQ and QN. Therefore, these triangles are congruent by Side-Side-Side (SSS).

Step 3: Analyze the third pair of triangles (JKM and KML)

The third pair of triangles shares a side JM. Sides JK and ML are congruent, as are sides KL and MJ. Therefore, these triangles are congruent by Side-Side-Side (SSS).

Step 4: Analyze the fourth pair of triangles

This figure shows only one triangle, so no congruence rule can apply.

Final Answer

  1. ASA
  2. SSS
  3. SSS
  4. Not applicable (only one triangle shown)
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