Question

3.2 other quadrilaterals
score: 6.33/18 answered: 7/18
question 9
multiple choice. a parallelogram must be a rectangle if its diagonals
you have 2 attempts on this problem.
are perpendicular to each other.
are congruent.
bisect the angles to which they are drawn.
bisect each other.

Explanation:

Step1: Recall properties of parallelograms

A parallelogram has opposite sides equal and parallel, and diagonals bisect each other.

Step2: Recall properties of rectangles

A rectangle is a parallelogram with four right - angles. One of the additional properties of a rectangle (compared to a general parallelogram) is that its diagonals are congruent.

• If diagonals of a parallelogram are perpendicular, it is a rhombus (not necessarily a rectangle).
• If diagonals bisect the angles, it is a rhombus (not necessarily a rectangle).
• Diagonals of a parallelogram always bisect each other (this is a property of parallelograms, not what makes it a rectangle).

Answer:

are congruent.