I have six questions which will be on a test two weeks from now, and I do not understand. Help me find out these theorems for the blanks.

1. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a_______?

2. If the diagonals of a parallelogram are _____, then the parallelogram is a rhombus.

3. If a parallelogram is both a _____ and a _____, then the parallelogram is a square.

4. If the ____ of a parallelogram are congruent, then the parallelogram is a rectangle.

5. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a ____.

6. If one angle of a parallelogram is a right angle, then the parallelogram is a _______.

(Thanks for your kindness)
I have down for each.

1. rectangle
2. adjacent
3. rhombus and rectangle
4. sides
5. square
6. rhombus.

Im not sure if any of them are right.

1. rhombus

2. perpendicular
3. correct
4. angles
5. rhombus
6. rectangle

To find the answers to these theorems, we can consult a geometry textbook or search online resources dedicated to geometry. However, based on your given options, let's go through each question and determine the correct theorem for each blank:

1. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a _rhombus_. (Correct answer)
Explanation: A rhombus is a parallelogram in which all four sides are congruent.

2. If the diagonals of a parallelogram are _perpendicular_, then the parallelogram is a rhombus. (Correction in your answer)
Explanation: A rhombus is a parallelogram in which the diagonals are perpendicular to each other.

3. If a parallelogram is both a _rhombus_ and a _rectangle_, then the parallelogram is a square. (Correct answer)
Explanation: A square is a parallelogram in which all four sides are congruent (rhombus) and all angles are right angles (rectangle).

4. If the _diagonals_ of a parallelogram are congruent, then the parallelogram is a rectangle. (Correct answer)
Explanation: A rectangle is a parallelogram in which the diagonals are congruent.

5. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a _rhombus_. (Correct answer)
Explanation: A rhombus is a parallelogram in which one diagonal bisects a pair of opposite angles.

6. If one angle of a parallelogram is a right angle, then the parallelogram is a _rectangle_. (Correct answer)
Explanation: A rectangle is a parallelogram in which all angles are right angles.

With these corrections, your answers should be:
1. Rhombus
2. Perpendicular
3. Rhombus and Rectangle
4. Diagonals
5. Rhombus
6. Rectangle

Remember to always consult reliable sources for accurate information and understanding of theorems.