Question

Given AABC = AFGH, name the corresponding congruent parts:

a) Side AB = Side FG
b) Side AC = Side GH
c) Angle A = Angle F
d) Angle B = Angle G

Answer 1

In congruent triangles ∆ABC and ∆FGH, the corresponding congruent parts are: Side AB = Side FG, Side AC = Side GH, Angle A = Angle F, and Angle B = Angle G, which means that the corresponding sides and angles are equal in measurement.

Step-by-step explanation:

If ∆ABC = ∆FGH, it means that triangle ABC is congruent to triangle FGH. This implies that the corresponding sides and angles of the two triangles are equal in measurement. Congruent triangles have their corresponding parts equal, which is expressed in the concept of corresponding congruent parts (CCP).

• a) Side AB = Side FG: Since the triangles are congruent, their corresponding sides AB and FG are equal in length.
• b) Side AC = Side GH: Similarly, sides AC and GH are corresponding sides and so are equal.
• c) Angle A = Angle F: Angle A corresponds to Angle F in the two congruent triangles, meaning they have the same measure.
• d) Angle B = Angle G: Finally, the corresponding angles B and G are equal because of the congruence of the triangles.