# NSTSE (National Science Talent Search Exam- Unified Council) Class 8: Questions 1 of 2028

Flag for Review

⚐

List Questions

☰

Edit

### Question

MCQ▾In a quadrilateral ABCD, the diagonals AC and BD are equal but not perpendicular to each other. Then PQRS is a:

### Choices

Choice (4) | Response | |
---|---|---|

a. | Parallelogram | |

b. | Square | |

c. | Rectangle | |

d. | Trapezium |

## Answer

c.

## Explanation

- As given, in a quadrilateral ABCD, the diagonals AC and BD are equal but not perpendicular to each other.
- As we know, a square and rectangle have equal diagonals.
- However, the square has the diagonals that make right angles by bisecting each other, but the rectangle does not make right angles by bisecting.
- That means a
**rectangle**has equal diagonals but not intersect at right angles, as it has two pair of equal opposite parallel sides.

Ques. Time: