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)
To determine if the shape he made is a rectangle without measuring any angles, Sam can check for the following properties of rectangles:
1. All sides are equal in length: Sam can measure the length of each side of the shape using a ruler or a measuring tape. If all the sides are equal, he has a higher likelihood of having a rectangle.
2. Opposite sides are parallel: Sam can use a straightedge or a ruler to check if the opposite sides of the shape are parallel. If they are, it is another indication of a rectangle.
3. Diagonals are congruent: Sam can measure the diagonals of the shape using a ruler or a measuring tape. If the diagonals are of equal length, the shape is likely a rectangle.
By checking these properties, Sam can have a reasonable degree of certainty that the shape he made is indeed a rectangle, without measuring any angles.