Quadrilaterals

Parallelogram

100

ABCD is a Parallelogram. BC = 12, CD = 8. Find the length of AB and CB.

AB = 8, AD = 12

200

ABCD is a Parallelogram. AB = 4x + 3, DC = 9x - 7. Find the value of x and AB. 

x = 2, AB = 11

300

ABCD is a Parallelogram. Angle A = 55*. Find the measure of angles B, C, and D. 

B = 125, C = 55, D = 125

400

ABCD is a Parallelogram. Angle B = 7x + 4, and Angle A = 4x - 10. Find the value of x and measure of angle A.

x = 16.91, A = 57.64

500

ABCD is a Parallelogram. Angle ABE = 44*, and Angle BCD = 75*. Find the value of angles ADC and EBC. 

ADC = 105, EBC = 61

Rhombus

100

ABCD is a Rhombus. AB = 4x + 6 and DA = 7x - 2. Find the value of x. 

x = 2.67

200

ABCD is a Rhombus. AE = 10x + 3 and EC = 11x - 2. Find the value of x and AE. 

x = 5, AE = 53

300

ABCD is a Rhombus. Angle AEB = 8x + 2. Find the value of x. 

x = 11

400

ABCD is a Rhombus. Angle ADE = 6x + 1 and angle EDC = 4x + 17. Find the value of x and angle ADC.

x = 8, ADC = 98

500

ABCD is a Rhombus. Angle ABE = 50* and angle BCD = 80*. Find angles ABC, EBC, and BCE.

ABC = 100, EBC = 50, BCE = 40

Rectangle/Square

100

ABCD is a Square. Angle DAB = 9x. Find the value of x.

x = 10

200

ABCD is a Rectangle. AC = 6x - 1 and DB = 4x + 4. Find the value of x and DB. 

x = 2.5, DB = 14

300

ABCD is a Square. Angle ABE = 10x + 15. Find the value of x. 

x = 3

400

ABCD is a Rectangle. Angle BDC = 5x - 37 and ABD = 3x - 7. Find the value of x and ABD. 

x = 15, ABD = 38

500

ABCD is a Rectangle. Angle DCA = x + 9 and BCA = 4x - 3. Find the value of x. 

x = 16.8.

Kite

100

ABCD is a Kite. DA = 12x - 2 and AB = 34. Find the value of x.

x = 3

200

ABCD is a Kite. Angle AEB = 3x + 12. Find the value of x. 

x = 26

300

ABCD is a Kite. DE = 8x + 5 and EB = 6x + 21. Find the value of x and DE. 

x = 8, DE = 69

400

ABCD is a Kite. CD = 13 and EC = 12. Find the value of ED. 

ED = 5

500

ABCD is a Kite. Angle EBA = 7x - 4 and BAE = 42*. Find the value of x. 

x = 7.43

Trapezoid

100

ABCD is a Trapezoid. AB = 42 and DC = 58. Find the value of EF.

EF = 50

200

ABCD is a Trapezoid. Angle B = 127* and angle D = 74*. Find the value of angle A and C. 

A = 106, C = 53

300

ABCD is a Trapezoid. Angle B = 8x + 4 and angle C = 13x - 8. Find the value of x. 

x = 8.76

400

ABCD is a Trapezoid. Angle D = 12x - 4 and angle C = 6x + 9. Find the value of x and angle D. 

x = 2.17, D = 22.02

500

ABCD is a Trapezoid. AC = 6x and BD = 7x - 14. Find the value of x. 

x = 14