a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.
b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.
What are Congruent Triangles?
Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.
a. The information given shows that ΔECR and ΔACR have:
three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.
Therefore, both triangles are congruent triangles by the SSS conrguence theorem.
b. The information given shows that ΔTSE and ΔNOH have:
three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.
Therefore, both triangles are congruent triangles by the SSS conrguence theorem.
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