Question

Using the digits one through nine, fill in the boxes to make a parallelogram mathematically. Use parallel or congruent sides to explain your answer.

A. (1-4-7-2)
B. (3-6-9-2)
C. (1-5-9-3)
D. (2-5-8-1)

Answer 1

To make a parallelogram using the digits one through nine, we need to find sets where the opposite sides are parallel and congruent. Options B and D fulfill these conditions.

Step-by-step explanation:

To fill in the boxes to make a parallelogram, we need to determine which set of digits can form a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Let's analyze each option:

1. (1-4-7-2): This set does not form a parallelogram because the sum of opposite sides is not equal.
2. (3-6-9-2): This set does form a parallelogram because the opposite sides are parallel and congruent.
3. (1-5-9-3): This set does not form a parallelogram because the sum of opposite sides is not equal.
4. (2-5-8-1): This set does form a parallelogram because the opposite sides are parallel and congruent.

Therefore, options B and D form parallelograms.