Question

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 7 cm, BC = 5 cm, ∠B = 50°.

∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.

Answer 1

Here,
AB = EF ( = 7 cm),
BC = DE ( = 5 cm) and
included ∠B = included ∠E ( = 50°).

Also, A ↔ F B ↔ E and C ↔ D.

Therefore, ∆ABC ≅ ∆FED................(By SAS congruence rule).