ISOSCELES TRAPEZIOD WITH DIAGONALS WORKSHEET

Find the length of the diagonal indicated for each trapezoid.

Problem 1 :

DF = 9.1, Find CE

Solution

Solve for x. Each figure is a trapezoid.

Problem 2 :

DF = 6 and CE = 2x - 10

Solution

Problem 3 :

DF = 12 and EG = -2x + 36

Solution

Find the length of the diagonal indicated for each trapezoid.

Problem 4 :

JL = 2x + 4, KM = 4x - 8. Find JL

Solution

Problem 5 :

UW = 3x + 11, TV = 8x - 9 and Find UW

Solution

Problem 6 :

The bases of an isosceles trapezoid ABCD measure 10 cm and 20 cm. The height (altitude) is 12 cm. How long are the legs AB and CD?

Solution

Problem 7 :

In isosceles trapezoid KIME, <K and <E are the base angles. If IK = 11 and ME = 3x - 1, what is the value of x?

Solution

Problem 8 :

𝐴𝐵𝐶𝐷 is an isosceles trapezoid with bases 𝐴𝐵 and 𝐷𝐶. If 𝐴𝐷 = 3x+4 and 𝐵𝐶 = x+12. Find the value of x and the length of 𝐴𝐷.

Solution