Congruent Triangles std8 Page-24.1.1 EM

Two Triangles | Find Equal Sides | ASA Congruence

△ ABC

∠A = 50° ∠B = 70° ∠C = 60°

△ PQR

∠Q = 70° ∠R = 50° ∠P = 60°

🔍 ASA Congruence Criterion: Two angles and the included side are equal 📐 Triangles are congruent → corresponding sides are equal

✍️ Find the equal sides of the two triangles

1 Third angle of ΔABC

In ΔABC, ∠A = 50°, ∠B = 70°. Find ∠C.

2 Third angle of ΔPQR

In ΔPQR, ∠Q = 70°, ∠R = 50°. Find ∠P.

3 Identify equal angles

Which angles are equal in both triangles?

4 Included side in ΔABC

In ΔABC, the side between ∠A (50°) and ∠B (70°) is AB. What is its length?

5 Included side in ΔPQR

In ΔPQR, which side is between ∠Q (70°) and ∠R (50°)?

6 Length of side QR

What is the length of QR (given)?

7 Congruence condition

Do the triangles satisfy ASA congruence? (Two angles and included side equal)

8 Side equal to AB

Since triangles are congruent, AB = ?

9 Side equal to BC

BC is opposite ∠A (50°). Which side of ΔPQR is opposite ∠R (50°)?

10 Side equal to AC

AC is opposite ∠B (70°). Which side of ΔPQR is opposite ∠Q (70°)?

📐 Two Triangles | Find Equal Sides