Congruence in Triangles

In the following pairs of triangles, find the pairs which are congruent? Also, write the criterion of congruence.

If EF = 3x - 1 and HG = 2x + 4, what is EF? 

• -5

• 5

• 14

• 28

If ∆ABC ≅ ∆PQR, then the value of ∠A is

• 35°

• 55°

• 90°

• 45°

Choose another congruence statement for the triangles.

• ΔBCA ≅ ΔEFD

• ΔCAB ≅ ΔFED

• ΔACB ≅ ΔDEF

• ΔCBA ≅ ΔFDE

Given △XYZ ≅ △MNL. Find m∠Y.

Given △XYZ ≅ △MNL. Find m∠L.

Given △XYZ ≅ △MNL. △LNM ≅ ________.

• △ZYX

• △ZXY

• △YXZ

• △XZY

• △ YZX

Given △XYZ ≅ △MNL. △YXZ ≅ ________.

• △NML

• △LMN

• △MNL

• △NLM

Answer explanation

Remember corresponding congruent angles must be in the same order when labeling the triangles.

Choose a congruence statement if the triangles can be proved congruent.

• ΔWXZ ≅ ΔYZX

• ΔWXZ ≅ ΔXYZ

• ΔWZX ≅ ΔYZX

• ΔWZY ≅ ΔYXW

• Not Congruent.

Answer explanation

Remember corresponding congruent angles must be in the same order when labeling the triangles.

Complete the proof. Choose a statement #3.

• ∠ABC ≅ ∠EDC

• ∠BCA ≅ ∠DEC

• ΔABC ≅ ΔDCE

• ∠ABD ≅ ∠CDB