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In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, prove that triangle

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Question: In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, prove that triangle MNO is congruent to triangle PQR with sides PQ = 12 cm, QR = 16 cm, and PR = 20 cm.

Options:

  1. By SSS
  2. By SAS
  3. By ASA
  4. Not congruent

Correct Answer: By SSS

Solution:

Both triangles have sides of equal lengths (12 cm, 16 cm, 20 cm), thus they are congruent by the SSS criterion.

In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, prove that triangle

Practice Questions

Q1
In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, prove that triangle MNO is congruent to triangle PQR with sides PQ = 12 cm, QR = 16 cm, and PR = 20 cm.
  1. By SSS
  2. By SAS
  3. By ASA
  4. Not congruent

Questions & Step-by-Step Solutions

In triangle MNO, if MN = 12 cm, NO = 16 cm, and MO = 20 cm, prove that triangle MNO is congruent to triangle PQR with sides PQ = 12 cm, QR = 16 cm, and PR = 20 cm.
  • Congruence of Triangles – Triangles are congruent if their corresponding sides are equal in length, which can be proven using the Side-Side-Side (SSS) criterion.
  • SSS Criterion – The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
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