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.
Learn more about the properties of the trapezoid here:
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