Question

Given STUV is a rectangle. Which of the following proves △WVS≅△WUT?

Answer 1

Option B is the correct answer.

ΔWVS ≅ ΔWUT

Solution:

Given STUV is a rectangle.

To prove that ΔWVS ≅ ΔWUT:

Step 1: Given STUV is a rectangle.

Step 2: All the angles in the rectangle are right angles.

So that, ∠V = ∠U = 90°

Step 3: ∠V ≅ ∠U (Angle)

Step 4: All rectangles are parallelograms.

Therefore STUV is a parallelogram.

Step 5: In parallelogram opposite sides are congruent.

Therefore, SV ≅ TU (Side)

Step 6: Given WV ≅ WU (Side)

Step 7: From step 3, step 5 and step 6

ΔWVS ≅ ΔWUT by SAS congruence rule.

Option B is the correct answer.