Geometry Cycle 5 Review

Quadrilateral DJRU is a kite. The diagonals DR and JU are drawn as shown. What is the area of the kite?

• 42 cm²

• 84 cm²

• 168 cm²

• 218 cm²

The diagram below shows a regular octagon. Use the formula for the area of regular polygons to calculate its area. Which of the following is the area of the polygon?

• 464 cm²

• 522 cm²

• 696 cm²

• 1,392 cm²

Jeremy designed his paper plane by overlapping a kite with an isosceles trapezoid. The blueprint of his design is shown in the diagram.

Tags

CCSS.1.G.A.2

Jeremy designed his paper plane by overlapping a kite with an isosceles trapezoid. The blueprint of his design is shown in the diagram. What is the area of the kite?

• 96 in²

• 64 in²

• 48 in²

• 32 in²

Tags

CCSS.6.G.A.1

What is the area of Jeremy’s blueprint?

• 44 in²

• 60 in²

• 108 in²

• 92 in²

Tags

CCSS.6.G.A.1

A regular pentagon has a side length of 7.5. If the length of the apothem is 5.1 units, what is the area of the regular pentagon?

• 63.75 units²

• 191.25 units²

• 37.5 units²

• 95.63 units²

Tags

CCSS.6.G.A.1

The diagram is a combination of a trapezoid and a kite. The height of the trapezoid is 9 mm. What is the area of the kite?

• 48 mm²

• 96 mm²

• 288 mm²

• 384 mm²

Tags

CCSS.6.G.A.1

The diagram is a combination of a trapezoid and a kite. The height of the trapezoid is 9 mm. What is the area of the composite figure?

• 582 mm²

• 486 mm²

• 294 mm²

• 246 mm²

Tags

CCSS.6.G.A.1

The length of the diagonal is shown in the diagram. Which of the following is the area of the square?

• 200√2 cm²

• 200 cm²

• 100√2 cm²

• 100 cm²

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

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

Tags

CCSS.HSG.SRT.C.8