6.2.2 Conditions for Special Parallelograms

Question 1

Theorem

Answer 1

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

Question 2

Theorem

Answer 2

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

Question 3

Theorem

Answer 3

If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.

Question 4

Theorem

Answer 4

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

Question 5

Theorem

Answer 5

If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus