Proving Parallelogram Is a Rhombus

HUNK is a parallelogram with coordinates H(-2,-2), U(3,-2), N(6,-6), and K(1,-6). Sketch HUNK and then use the distance formula to determine if HUNK is a rhombus.

• Yes, it is a rhombus.

• No, it is not a rhombus.

Brad proved that ABCD is a parallelogram by proving both sets of opposite sides to be parallel. What should he do next if he wants to prove it is a rhombus?

• Find the distance of each line to see if they are congruent. 

• Compare the slopes of adjacent sides to see if they are perpendicular. 

Write the following 2 true conditionals as a 1 biconditional.

1. If a parallelogram is a rhombus, then its diagonals are perpendicular.

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

Can you conclude the parallelogram is a rectangle, rhombus, or square?

• rectangle

• rhombus

• square

• none of the above

To prove that the following parallelogram PQRS is a rhombus, which of the following must be true?

• PR⊥SQ

• PR≅SQ

• ∠7≅∠10 and ∠6≅∠9

• ∠3≅∠12 and ∠2≅∠11

If DE = 4z and DG = 8z - 88. find the value of Z

• 22

• 50

• 23

• 18

Solve for n and m. Type your answer as n=#, m=#

Which of the following can be used to prove a parallelogram is a rhombus?

• Prove the diagonals are congruent

• Prove it has a 90 degree angle

• Prove all 4 sides are congruent

You must first prove a quadrilateral is a parallelogram before proving it is a rhombus.

• True

• False