Sam has an assignment for school where he has to make a rectangular picture frame. But he can't measure any of the angles. What can he do to determine that the shape he made is actually a rectangle? (Hint: what properties of rectangles don't involve angles)(4 points)

Answer 1

To determine that the shape he made is actually a rectangle, Sam can check for the following properties of rectangles that do not involve angles:

1. Equal opposite sides: Sam can measure the lengths of the opposite sides of the shape. If they are equal, it indicates that the shape is a rectangle.

2. Equal diagonals: Sam can measure the lengths of both diagonals of the shape. If they are equal, it indicates that the shape is a rectangle.

3. Right angles with a square: Sam can check if the shape has four right angles by comparing it to a square. If all four angles are right angles, it indicates that the shape is a rectangle.

4. Perpendicular adjacent sides: Sam can check if the adjacent sides meet in a perpendicular manner. If both pairs of adjacent sides are perpendicular to each other, it indicates that the shape is a rectangle.

By checking these properties, Sam can confirm that the shape he made is a rectangle without directly measuring any angles.