The image you uploaded shows three different geometric shapes: a right trapezoid, a right triangle, and a rectangle. The grouping is based on the condition "have perpendicular and parallel sides."

Here’s the breakdown for each shape:

1. Right trapezoid: It has one pair of parallel sides and one right angle (perpendicular sides).
2. Right triangle: It has a right angle, which gives it one set of perpendicular sides, but no parallel sides.
3. Rectangle: All opposite sides are parallel, and all angles are right angles (so all sides are perpendicular to each other).

Given the condition "have perpendicular and parallel sides," both the right trapezoid and the rectangle meet this criterion. The right triangle has perpendicular sides but no parallel sides, so it would not be included in this grouping.

Would you like further details or have any specific questions?

Related Questions:

1. What is the definition of perpendicular lines in geometry?
2. How does a right triangle differ from a rectangle in terms of angles?
3. Can a trapezoid have more than one pair of parallel sides?
4. How do the properties of a right trapezoid affect its area calculation?
5. Why are perpendicular and parallel sides important in classifying shapes?

Tip:

In geometry, right angles are crucial for determining perpendicularity, and shapes like rectangles have all angles as right angles. This is important when calculating dimensions like area or perimeter.