# Explain why a rectangle is a convex quadrilateral.

**Solution:**

Polygons that are convex have no portions of their diagonals in their exteriors. Also, all the interior angles of a convex quadrilateral are lesser than 180 degrees.

A rectangle is a convex quadrilateral since its vertex are raised and both of its diagonals lie in its interior. Also, each interior angle of a rectangle measures 90 degrees. Hence, none of the angles is a reflex angle. So, a rectangle is considered a convex quadrilateral.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 3

**Video Solution:**

## Explain why a rectangle is a convex quadrilateral.

NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.4 Question 5

**Summary:**

A rectangle is a convex quadrilateral because every interior angle measures 90 degrees and hence none of the angles is a reflex angle.

**☛ Related Questions:**

- State whether True or False. (a) All rectangles are squares (b) All rhombuses are parallelograms (c) All squares are rhombuses and also rectangles (d) All squares are not parallelograms. (e) All kites are rhombuses. (f) All rhombuses are kites. (g) All parallelograms are trapeziums. (h) All squares are trapeziums.
- Identify all the quadrilaterals that have: (a) four sides of equal length (b) four right angles
- Explain how a square is. (i) a quadrilateral (ii) a parallelogram (iii) a rhombus (iv) a rectangle
- Name the quadrilaterals whose diagonals. (i) bisect each other (ii) are perpendicular bisectors of each other (iii) are equal (i) parallelogram, rhombus, rectangle, and square bisect each other. (ii) square and rhombus are perpendicular bisectors of each other. (iii) rectangle and square are equal.

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