Question: Which among the following statements is/are correct for a rhombus and a rectangle? 1. The diagonals bisect each other at right angles. 2. The opposite angles are equal. 3. The measures of diagonals are equal. 4. All sides are equal.
A ) 1 and 2 B ) Only 2 C ) 1 and 4 D ) 3 and 4
Steps to derive
1 In a rhombus, diagonals bisect each other at right angles, but in a rectangle, diagonals do not intersect at right angles. So, statement 1 is incorrect.
2 Opposite angles are equal for both rhombus and rectangle. So, statement 2 is correct.
3 The measure of diagonals of a rectangle are equal, but the measures of diagonals of a rhombus need not be equal. So, statement 3 is not correct.
4 All sides of a rhombus are equal, but only opposite sides of a rectangle are equal. So, statement 4 is incorrect.
