Rhombus Rectangle Square

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

A parallelogram must be a rhombus if its diagonals

• are congruent

• bisect each other

• do not bisect its angles

• are perpendicular to each other

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

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

If JKLM is a rhombus, find each angle measure.

• 72

• 90

• 36

• 108

• 54

If JKLM is a rhombus, find each angle measure.

• 36

• <JKL

• 54

• <JMK

• 90

• <MLK

• 108

• <KNL

• 72

• <MJL

Which information is sufficient to prove that a parallelogram is a square?

• The diagonals are perpendicular and one pair of adjacent sides are congruent.

• The diagonals are congruent and the adjacent sides are perpendicular.

• The diagonals bisect each other and one pair of adjacent sides are perpendicular.

• The diagonals are both congruent and perpendicular.

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

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

• Opposite sides are congruent

• Diagonals are perpendicular to each other

• Adjacent sides are congruent

• Diagonals are congruent