Geometry Assessment Worksheet 10b 11b 9ab

Quadrilateral DJRU is a kite. The diagonals DR and JU are drawn as shown.

• A. 42 cm²

• B. 84 cm²

• C. 168 cm²

• D. 218 cm²

Part A: What is the area of the kite?

• 96 in²

• 64 in²

• 48 in²

• 32 in²

What is the area of Jeremy’s blueprint?

• 44 in²

• 60 in²

• 108 in²

• 92 in²

What is the area of the kite?

• 48 mm²

• 96 mm²

• 288 mm²

• 384 mm²

What is the area of the composite figure?

• 582 mm²

• 486 mm²

• 294 mm²

• 246 mm²

In the diagram, a regular pentagon is inscribed in a circle with a radius of 16 centimeters. Use a trigonometric ratio to calculate the apothem of the regular pentagon.

• 12.94 cm

• 9.40 cm

• 22.02 cm

• 10.15 cm

An equilateral triangle is shown below. The length of a side is given. Part A: Apply the 30°-60°-90° special right triangle theorem to calculate the height.

• 4√3 cm

• 5√3 cm

• 6√3 cm

• 8 cm

An equilateral triangle is shown below. The length of a side is given. Part B: What is the area of the equilateral triangle?

• 32√3 cm²

• 16√3 cm²

• 32 cm²

• 16 cm²

What is the total area of the composite design? Round your answer to the nearest square inch.

• 125 in²

• 233 in²

• 72 in²

• 400 in²

A parallelogram has sides that are 10 cm and 20 cm as shown. The measure of the acute angles of the parallelogram is 60°.

• The height of the parallelogram is 10√3 cm.

• The height of the parallelogram is 5√3 cm.

• The area of the parallelogram is 100√3 cm².

• The area of the parallelogram is 200√3 cm².

• The area of the parallelogram is 20√3 cm².