HAT MCQs

For a right triangle, the square of the longest side equals the sum of the other squares.
Here, 5² + 12² = 13².

Complementary angles sum to 90°.
Thus, 90° - 38° = 52°.

An exterior angle equals the sum of the two remote interior angles.
It is supplementary to the adjacent interior angle.

Supplementary angles sum to 180°.
Thus, 180° - 125° = 55°.

A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.

Vertically opposite angles are equal.
Therefore, the opposite angle is 72°.

A rectangle has four right angles and opposite sides equal.
Its diagonals are also equal in length.

For a triangle, the sum of any two sides must exceed the third.
Here 4 + 7 = 11, which is less than 12.

A rhombus is defined by four equal sides.
Its angles need not be right angles.

Under the common school definition, a trapezium has one pair of parallel sides.
Parallelograms have two pairs.

The sum is (n - 2) × 180°.
For n = 5, this is 3 × 180° = 540°.

The total interior angle sum is 720°.
Dividing by 6 equal angles gives 120°.