DN Properties of a Rhombus

The diagonals of a rhombus 

• never intersect
• bisect the opposite angles
• are congruent
• bisect the sides

Tags

CCSS.HSG.CO.C.11

Which of the following group of quadrilaterals have congruent diagonals?

I. Parallelogram

II. Rectangle

III. Rhombus

IV. Square

• All of the above

• II, III and IV

• II and IV, only

• III and IV, only

Tags

CCSS.HSG.CO.C.11

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

The figure is a rhombus.  
Solve for x.  

• 1
• 11
• 7
• 6

Tags

CCSS.HSG.CO.C.11

ABCD is a rhombus, if m∠ADB = 54°, find the value of m∠ECD.

• m∠ADC = 36°

• m∠ADC = 27°

• m∠ADC = 54°

• m∠ADC = 108°