Is every trapezoid also a rectangle?

Is every trapezoid also a rectangle?

NO. A trapezoid is defined (in North America) to be a quadrilateral that has exactly one pair of parallel sides. A quadrilateral with two pairs of parallel sides is called a parallelogram; a parallelogram with right angles is a rectangle.

What can a trapezoid be classified as?

Solution

• A trapezoid is a quadrilateral with one pair of opposite sides parallel.
• Sometimes people define trapezoids to have at least one pair of opposite sides parallel, and sometimes say there is one and only one pair of opposite sides parallel.

Can a trapezoid be a square?

A trapezoid is a quadrilateral with at least one pair of parallel sides. In a square, there are always two pairs of parallel sides, so every square is also a trapezoid. Conversely, only some trapezoids are squares.

Is a trapezoid is always a parallelogram?

A trapezoid is a parallelogram. The diagonals of a rectangle bisect eachother. You just studied 45 terms!

Are rectangles always parallelograms?

The vertices join the adjacent sides at 90° angles, which means the opposite sides of the rectangle are parallel lines. Since it has two sets of parallel sides and two pairs of opposite sides that are congruent, a rectangle has all of the properties of a parallelogram. That’s why a rectangle is always a parallelogram.

What are the similarities and differences between a trapezoid and a rectangle?

1.Rectangles have four right angles while trapezoids do not. 2.Opposite sides of a rectangle are parallel and equal while in the case of a trapezoid the opposite sides of at least one pair are parallel. 3.Diagonals of rectangles must bisect each other while in the case of trapezoids that is not necessary.

Can a rectangle be a rhombus?

Thus, a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length).

Can a rectangle be a rhombus explain it?

A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.

Does a rectangle have four congruent angle?

A rectangle is a parallelogram with four right angles . This means that a rectangle has opposite sides parallel and congruent and it also has four right angles. A square is a rectangle with four congruent sides and four right angles. Notice that the properties of a parallelogram applies to squares, too. A rhombus is a parallelogram with four congruent sides. Notice that a rhombus does not ALWAYS have right angles like a square, but it does always have congruent sides.