Question

the diagonals of a rectangle are always
select one:
a. equal and perpendicular to each other
b. equal and bisect each other
c. perpendicular and bisect each other
d. none of these

two opposite angles of a parallelogram are always
select one:
a. complementary
b. supplementary
c. equal

Explanation:

For the first question: A rectangle is a type of parallelogram, so its diagonals bisect each other. Additionally, the congruent right triangles formed by the diagonals prove the diagonals are equal; they are only perpendicular in a square (a special rectangle, not all rectangles).
For the second question: By the properties of parallelograms, opposite sides are parallel, and alternate interior angles from a transversal prove opposite angles are congruent. Complementary angles sum to 90°, supplementary to 180°, which does not describe opposite angles in a parallelogram.

Answer:

1. b. equal and bisect each other
2. c. equal