Question

Choose all the statements that contain enough information to prove that PQRS is a parallelogram

Answer 1

To prove that PQRS is a parallelogram, we need statements that provide enough information. Two statements that contain enough information to prove that PQRS is a parallelogram are: a. All three sides are parallel to each other and are along the x-axis. b. All three sides are mutually perpendicular to each other.

Step-by-step explanation:

To prove that PQRS is a parallelogram, we need statements that provide enough information. Two statements that contain enough information to prove that PQRS is a parallelogram are:

1. a. All three sides are parallel to each other and are along the x-axis. In a parallelogram, opposite sides are parallel, so if all three sides of PQRS are parallel, it satisfies the condition for being a parallelogram.
2. b. All three sides are mutually perpendicular to each other. In a parallelogram, opposite sides are parallel and equal in length, so being mutually perpendicular satisfies the condition for being a parallelogram.

These statements provide sufficient information to prove that PQRS is a parallelogram. Through the given statements, we can conclude that PQRS has all the properties required to be a parallelogram.