8th Grade Math Test Prep – Pythagorean Theorem and Angles

8th Grade Math Test Prep – Pythagorean Theorem and Angles

8th grade math · test prep · state test style

1. Multiple choice. Circle the correct answer.

1. How long is the diagonal of a square with 5 cm sides?

a) 5√2 cmb) 5√3 cmc) 10 cmd) 25 cm

2. Two parallel lines are cut by a transversal. One angle measures 70°. Its alternate interior angle measures

a) 180°b) 70°c) 20°d) 110°

3. What is the distance between the points (1, 2) and (4, 6)?

a) 7b) 5c) √7d) 25

4. An exterior angle of a triangle measures 120°. One of the two interior angles not next to it is 50°. The other one measures

a) 130°b) 50°c) 60°d) 70°

5. In an isosceles triangle, the angle between the two equal sides is 40°. Each base angle measures

a) 140°b) 50°c) 40°d) 70°

6. A trapezoid has bases of 7 cm and 5 cm and a height of 4 cm. What is its area?

a) 24 cm²b) 48 cm²c) 140 cm²d) 16 cm²

2. Circle T if the sentence is true or F if it is false.

Supplementary angles add up to 180°.TF

Every square is a rhombus.TF

A triangle with sides 6, 7 and 9 is a right triangle.TF

A triangle with sides 5, 12 and 13 is a right triangle.TF

The diagonals of every rectangle are perpendicular.TF

3. Open response. Show your work and write the answer.

A TV screen is 48 inches wide and 36 inches tall. TV sizes are measured along the diagonal. What size is this TV?

Answer:

A park is a rectangle 80 yards long and 60 yards wide. How much shorter is it to walk across the park along the diagonal than along two sides?

Answer:

A garden is a rectangle 24 ft by 10 ft. How many feet of fence are needed to go all the way around it and also along one diagonal?

Answer:

About this worksheet

A geometry test for 8th grade math test prep: the Pythagorean theorem and its converse (diagonals, ladders, TV screens), the distance between two points, areas of triangles and trapezoids, angle sums in triangles and quadrilaterals, exterior angles and angles formed by parallel lines and a transversal. The questions take the forms of end-of-year state math tests: multiple choice, true or false, and open-response problems with room to show the work. Every print draws other multiple-choice and true-or-false questions in another order, and the answer key marks the right answers.

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