Question

Identify all the quadrilaterals that have
A) four sides of equal length
B) four right angles

Answer 1

Hint: First we will use the definitions of quadrilateral and their types of shapes like squares, rectangles and rhombus. Then we will check the properties of each shape, their sides and angles.

Complete step by step solution: We know that in geometry, a quadrilateral is a closed, two-dimensional shape that has four straight sides.

A) We also know that the quadrilaterals that have four sides of equal length are rhombus and squares.

Since we know that a rhombus is a flat shape with four equal straight sides and opposite sides are parallel.

We also know that the square is a flat shape with four equal straight sides, four right angles and opposite sides are parallel.

This implies that rhombus and square are only two shapes of a quadrilateral having four sides with equal length.

B) We also know that the quadrilaterals that have four right angles are rectangles and squares.

Since we know that a rectangle is a flat shape with four equal right angles, opposite sides are equal and parallel.

We also know that the square is a flat shape with four equal straight sides, four right angles and opposite sides are parallel.

This implies that rhombus and square are only two shapes of a quadrilateral having four sides with equal length.

Note: In solving these types of questions, you need to know that the types of shapes in quadrilaterals like squares, rectangles and rhombus. Then we will check the properties of each shape, their sides and angles. This is a simple problem, one should only need to know the definitions.