Question

If the diagonals of a square ABCD intersect each other at point O, the triangle OAB is ______.

Options

• an equilateral triangle.

• a right-angled but not an isosceles triangle.

• an isosceles but not a right-angled triangle.

• an isosceles right-angled triangle.

Answer 1

If the diagonals of a square ABCD intersect each other at point O, the triangle OAB is an isosceles right-angled triangle.

Explanation:

In a square, the diagonals bisect each other and intersect at 90°, meaning ∠AOB = 90°. Additionally, the diagonals of a square are equal in length and bisect each other, making the segments OA and OB equal, which forms an isosceles right-angled triangle.