Identify whether the triangles below are congruent. What conditions did you use to establish. Class 7

Identify whether the triangles below are congruent. What conditions did you use to establish. Class 7

Question 1.

Identify whether the triangles below are congruent. What conditions did you use to establish their congruence? Express the congruence. Class 7

Yes, they are congruent.

Side-Angle-Side (SAS) condition.

∆ABC ≅ ∆XZY.

Question 2.

Given that CD and AB are parallel, and AB = CD, what are the other equal parts in this figure? (Hint : When the lines are parallel, the alternate angles are equal. Are the two resulting triangles congruent? If so, express the congruence.) Class 7

Solution:

∠B = ∠D (Alternate angles)

∠A = ∠C (Alternate angles)

and AB = CD (Given)

So, ∆ABO ≅ ∆CDO (ASA condition)