WORKSHEET OF ISOSCELES TRAPEZOID ANGLES

Find the measurement of the angle indicated for each trapezoid.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Given isosceles trapezoid 𝐴𝐵𝐶𝐷, 𝐵𝐶 ∥ 𝐴𝐷. If 𝑚 < 𝐴 = 3(2x − 7) and 𝑚 < 𝐶 = 4x + 1, find the value of x. Find the measure of all of the angles.

Solution

Problem 7 :

Find ∠V

Solution

Problem 8 :

Find ∠M

Solution

Problem 9 :

Isosceles trapezoid ABCD with BC ||AD. If m∠A = 4x+20 and m∠D = 2x+38, find m∠A, m∠B, m∠C, and m∠D.

Solution

Problem 10 :

In isosceles trapezoid ABCD, BC||AD. The measure of ∠ADC = 4x+20 and the measure of ∠DAB = 8x - 20. Find the value of x, ∠ADC, ∠DAB, ∠BCD, and ∠ABC.

Solution

Problem 11 :

Solve for x. Find m∠R

Solution

Problem 11 :

Solve for x. Find m∠V

Solution

Problem 1 :

A trapezoid has an area of 60 cm² and its height is 6 cm and one base is 8 cm. What is the other base length?

Solution

Problem 2 :

If a trapezoid has an area of 65 ft² and the lengths of the bases are 12 ft and 14 ft, find the height

Solution

Problem 3 :

If a trapezoid has an area of 180 m² and its height is 12 m and one base is 20 m, find the other base length.

Solution

Problem 4 :

The area of a trapezoid is 625 ft² and its height is 25 ft. If one base of the trapezoid is 15 ft, what is the other base length?

Solution

Problem 5 :

The base lengths of a trapezoidal tabletop are 6 feet and 8 feet. The height is 5 feet. What is the area of the tabletop?

Solution

Problem 6 :

The Pentagon in Arlington, Virginia, is the headquarters of the U.S. Department of Defense.

a. Find the perimeter of the Pentagon.

b. A pentagon is made of a triangle and a trapezoid. The height of the triangle shown is about 541 feet, and the height of the trapezoid shown is about 876 feet. Estimate the land area of the Pentagon.

Solution

Problem 7 :

How much material do you need to make two back pockets?

Solution

Problem 8 :

In a grid of the exhibits at a zoo, the vertices of the giraffe exhibit are E (0, 90), F (60, 90), G (100, 30), and H (0, 30). The coordinates are measured in feet. What is the area of the giraffe exhibit?

Solution

Find the values of the variables. Then find the lengths of the sides.

Problem 1 :

Solution

Problem 2 :

The figure is an isosceles trapezoid. Determine the value of the variable

a) x = 3     b) x = 2      c) x = 18x + 48      d) x = 51

Solution

Problem 3 :

Find the value of x in the trapezium ABCD given below.

Solution

Problem 4 :

Find the value of y, if the perimeter of the trapezium is 142.

Solution

Problem 5 :

Incan architecture often features trapezoidal doorways and windows. Find m∠M, m∠K, and m∠L in the doorway.

Solution

Problem 6 :

Your cousin claims there is enough information to prove that JKLM is an isosceles trapezoid. Is your cousin correct? Explain

Solution

Problem 7 :

The bases of a trapezoid lie on the lines y = 2x + 7 and y = 2x − 5. Write the equation of the line that contains the midsegment of the trapezoid

Solution

Problem 8 :

In trapezoid PQRS, PQ || RS and MN is the midsegment of PQRS. If RS = 5 ⋅ PQ, what is the ratio of MN to RS?

a) 3 : 5     b) 5 : 3    c)  1 : 2    d)  3 : 1

Solution

Problem 9 :

If EG = FH, is trapezoid EFGH isosceles?

If m∠HEF = 70° and m∠FGH = 110°, is trapezoid EFGH isosceles? Explain

Solution

Problem 10 :

In trapezoid JKLM, ∠J and ∠M are right angles, and JK = 9 centimeters. The length of midsegment NP of trapezoid JKLM is 12 centimeters. Sketch trapezoid JKLM and its midsegment. Find ML. Explain your reasoning

Solution

Problem 11 :

Give the most specific name for the quadrilateral. Explain your reasoning.

Solution