# Does every trapezoid have 2 pairs of opposite parallel sides

Posted By Admin @ September 03, 2022

#### Question:

All trapezoids have two pairs of parallel sides.
Only some rectangles have four right angles.
All squares are rectangles.
Some rhombuses are trapezoids.

The statement "All squares are rectangles" is true and all the other statements are false according to the properties of quadrilaterals.

### What are the properties of quadrilaterals?

A quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°.

The quadrilaterals are of many types based on their properties.

Properties:

• Rectangle: All the angles in a rectangle are right angles. Thus, all angles in a rectangle are equal.
• Square: All the sides are equal and angles are also equal. Just like a rectangle, a square has four right angles.
• Rhombus: All sides are equal in length and opposite sides are parallel to each other.
• Trapezoid: Has only one pair of parallel sides and those are called the bases of the trapezoid. The other two sides are called legs or lateral sides.

### Verifying the given statements:

Option A: "All trapezoids have two pairs of parallel sides" - False.

• From the properties, it is known that every trapezoid has only one pair of parallel sides and are called the bases of the trapezoid.

Option B: "Only some rectangles have four right angles" - False

• From the properties, it is known that all the angles in a rectangle must and should be equal and are 90° each.

Option C: "All squares are rectangles" - True

• From the properties, like a rectangle, a square has four right angles. So, the statement is true.

Option D: "Some rhombuses are trapezoids" - False

• From the properties, all sides in a rhombus are equal in length and opposite sides are parallel to each other. But in a trapezoid, there is only one pair of parallel sides.

Therefore, Option C "All squares are rectangles" is true.

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