Question

a carpenter is framing an opening in a wall to hang a rectangular door. which properties must the door frame have to ensure that the door hangs properly? choose four correct answers. the bottom and right side are congruent. the left side and bottom form a right angle. the top and right side form a right angle. the left side and right side are parallel. the top and bottom are parallel.

Explanation:

A rectangle has four right angles. Opposite sides of a rectangle are parallel. Adjacent sides of a rectangle form right angles.

• The left side and bottom form a right angle: In a rectangle, adjacent sides (like left - side and bottom) are perpendicular (form a right angle).
• The top and right side form a right angle: Similarly, adjacent sides (top and right - side) are perpendicular (form a right angle).
• The left side and right side are parallel: Opposite sides of a rectangle are parallel.
• The top and bottom are parallel: Opposite sides of a rectangle are parallel.

The bottom and right - side are adjacent sides of a rectangle. In a rectangle, adjacent sides are not congruent (unless it is a square, but the problem just says rectangular).

Answer:

The left side and bottom form a right angle, The top and right side form a right angle, The left side and right side are parallel, The top and bottom are parallel.