Rhombus vs Rectangles

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

In rhombus TIGE, diagonals TG and IE intersect at R. The perimeter of TIGE is 68, and IE = 30. What is the length of diagonal TG?

• 8

• 16

• 15

• 17

Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

If JKLM is a rhombus, find each angle measure.

• 36

• 72

• 54

• 90

• 108

If JKLM is a rhombus, find each angle measure.

• 54

• <KNL

• 36

• <MJL

• 108

• <JKL

• 72

• <JMK

• 90

• <MLK

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

• Diagonals are perpendicular to each other

• Diagonals are congruent to each other

• Diagonals are bsiect each other

• Adjacent sides are perpendicular

The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E. What additional information is sufficient to prove that parallelogram ABCD is also a rhombus?

• AB is parallel to CD

• AC is congruent to BD

• BD bisects AC

• AC is perpendicular to BD

Name the following shape: 

• Rhombus

• Rectangle

• Square

Find m∠2.

• 62

• 28

• 90

• 78