Question

a parallelogram is a with both pairs of opposite sides parallel.
a rhombus is a parallelogram with all sides
a rectangle is a parallelogram with all angles.
in a parallelogram, diagonals each other.
consecutive angles in a parallelogram are
the diagonals of a square are both congruent and
the theorem that states alternate interior angles are congruent when two parallel lines are cut by a transversal is called the interior angles theorem.
in a rhombus, diagonals are perpendicular and each other.

Explanation:

Step1: Recall parallelogram definition

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Step2: Recall rhombus property

A rhombus is a parallelogram with all sides congruent.

Step3: Recall rectangle property

A rectangle is a parallelogram with all right - angles.

Step4: Recall parallelogram diagonal property

In a parallelogram, diagonals bisect each other.

Step5: Recall parallelogram angle property

Consecutive angles in a parallelogram are supplementary.

Step6: Recall square diagonal property

The diagonals of a square are both congruent and perpendicular.

Step7: Recall angle - related theorem

The theorem that states alternate interior angles are congruent when two parallel lines are cut by a transversal is called the Alternate Interior Angles Theorem.

Step8: Recall rhombus diagonal property

In a rhombus, diagonals are perpendicular and bisect each other.

Answer:

1. quadrilateral
2. congruent
3. right
4. bisect
5. supplementary
6. perpendicular
7. Alternate
8. bisect