Rectangle Rhombus Theorems

A parallelogram is always a rectangle if

• the diagonals are congruent

• the diagonals bisect each other

• the diagonals intersect at right angles

• the opposite angles are congruent

Which of the following group of quadrilaterals have congruent diagonals?

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

A parallelogram is a square if it has all the properties of

• a rhombus and rectangle

• a parallelogram and rhombus

• a parallelogram and rectangle

• trapezoid and rhombus

Which property is shown in the parallelogram that makes it a rectangle?

• Diagonals are perpendicular to each other

• Diagonals bisect each other

• opposite sides congruent

• Diagonals are congruent to each other

Given Rhombus TUVW. Find m∠4.

• 62

• 28

• 90

• 78

• 16

• 2

• 32

• 24

ABCD is a rhombus. BD = 14 and AE = 24. Find AD. *Hint* Pythagorean Theorem

• 25

• 38

• 31

• 27.8

• 9

• 10

• 11

• 12

JG =

• 54

• 24

• 48

• 16

• (1)

• (2)

• (3)

• (4)