#### Question:

Which statement about a quadrilateral is true?

All trapezoids have two pairs of parallel sides.

Only some rectangles have four right angles.

All squares are rectangles.

Some rhombuses are trapezoids.

Posted By Admin @ September 03, 2022

Which statement about a quadrilateral is true?

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.

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.

**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.

Learn more about the **properties** of the **trapezoid** here:

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