Which figures must have both parallel and perpendicular sides
rectangle and square
Do you see any others here?
https://www.mathsisfun.com/shape.html
I see squares, rectangles, and rhombuses.
Figures that have both parallel and perpendicular sides are generally known as quadrilaterals. A quadrilateral is a polygon with four sides. There are several types of quadrilaterals that satisfy this condition:
1. Rectangle: A rectangle has four right angles (90 degrees), which means its opposite sides are parallel and equal in length. Additionally, its adjacent sides are perpendicular to each other.
2. Square: A square is a special type of rectangle where all four sides are equal in length. Just like a rectangle, opposite sides are parallel, adjacent sides are perpendicular, and all angles are right angles.
3. Rhombus: A rhombus is a quadrilateral with all sides of equal length. Its opposite sides are parallel to each other, and adjacent sides are perpendicular.
4. Parallelogram: A parallelogram has opposite sides that are both parallel and equal in length. However, its angles are not necessarily right angles.
It's worth noting that not all quadrilaterals have both parallel and perpendicular sides. For example, a trapezoid has one pair of parallel sides, but the other pair is not parallel, so it doesn't have perpendicular sides.
To determine if a figure has parallel and perpendicular sides, you can carefully examine its properties, including the lengths of the sides and the relationships between angles.