which figure must have both parallel and perpendicular sides.

1.parallelogram 2. rectangle 3. rhombus 4. right triangles

I'll be glad to check your answer.

In order to determine which figure must have both parallel and perpendicular sides, let's look at the characteristics of each option:

1. Parallelogram: A parallelogram is a quadrilateral with opposite sides that are parallel. However, it may not necessarily have perpendicular sides.

2. Rectangle: A rectangle is a quadrilateral with four right angles (90-degree angles). This means that it has perpendicular sides. Additionally, opposite sides of a rectangle are parallel, so it also has parallel sides.

3. Rhombus: A rhombus is a quadrilateral with all sides of equal length. While the opposite sides of a rhombus are parallel, it does not have perpendicular sides unless it is also a square (a rhombus with four right angles).

4. Right triangle: A right triangle is a triangle that has one angle measuring 90 degrees (a right angle). Since a triangle does not have parallel sides, it does not have both parallel and perpendicular sides.

Therefore, the figure that must have both parallel and perpendicular sides is the rectangle (option 2).