# A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not?

**Solution:**

Given, a photo frame is in the shape of a __quadrilateral__.

One __diagonal__ is longer than the other.

We have to determine if the shape is a rectangle or not.

A __rectangle__ is a closed two-dimensional figure with four sides.

The opposite sides of a rectangle are equal and parallel to each other.

All angles are equal to 90 degrees.

The diagonals of a rectangle are equal.

According to the question,

The length of two diagonals are different.

In a rectangle, the diagonals are equal in length.

Therefore, the photo frame is not a rectangle.

In a __parallelogram__ or __rhombus__, the diagonals bisect each other.

Therefore, the photo frame can be a parallelogram or rhombus.

**✦ Try This:**** **A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a Square? Why or why not

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 137**

## A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not

**Summary:**

A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Since the diagonals are not equal, the photo frame is not in the shape of a rectangle.

**☛ Related Questions:**

- The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles . . . .
- The point of intersection of diagonals of a quadrilateral divides one diagonal in the ratio 1:2. Can . . . .
- The ratio between exterior angle and interior angle of a regular polygon is 1:5. Find the number of . . . .

visual curriculum