4-1 Practice A: Congruence in Triangles

Fill in the blank.

If two figures have all corresponding ​ (a)   and all corresponding ​ (b)   congruent, then the two figures are congruent.

• Angles
• Sides
• Shapes
• Lengths
• Vertices

Choose another congruence statement for the triangles.

• ΔBCA ≅ ΔEFD
• ΔCAB ≅ ΔFED
• ΔACB ≅ ΔDEF
• ΔCBA ≅ ΔFDE

What is another congruence statement for the two figures?

• KJHG ≅ TSRQ
• GKJH ≅ QRST
• JHGK ≅ STQR
• KGHJ ≅ TSRQ

Given △XYZ ≅ △MNL. Find m∠Y.

Given △XYZ ≅ △MNL. Find m∠L.

Given △XYZ ≅ △MNL. Find XY.

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.