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WorksheetsGeometry Cycle 5 Review
Total questions: 22
Worksheet time: 44mins
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.
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
What is the area of Jeremy’s blueprint?
44 in²
60 in²
108 in²
92 in²
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
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
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
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
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
A parallelogram is shown with dimensions given. If the height of the parallelogram is decreased by a factor of 21 , what is the effect of this change in dimension to its area?
The area will decrease by a factor of 2.
The area will decrease by a factor of 21 .
The area will decrease by a factor of 41 .
The area will increase by a factor of 21 .
In the diagram, the perimeter of the regular octagon is 64 inches. Use a trigonometric ratio to solve for the apothem.
4 in
8 in
9.66 in
19.31 in
The area of a circle is 49π. What will be the area of the circle if the diameter is tripled?
441π
1,323π
147π
294π
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
Jacob’s part time job is to design company logos using geometric shapes. One of his logo designs is shown in the diagram. What is the area of the regular hexagon?
96√3 in²
54√3 in²
108√3 in²
192√3 in²
Jacob’s part time job is to design company logos using geometric shapes. One of his logo designs is shown in the diagram. 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°. Which TWO statements are true about the parallelogram?
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.
A regular polygon has ten sides. If the perimeter is 120 centimeters, what is the area of the polygon? Round your answer to the nearest hundredth.
495.50 cm²
553.98 cm²
1,107.97 cm²
2,215.93 cm²
The composite shape consisting of a square, a trapezoid, and a sector of a circle is shown with marked congruent sides. If the central angle of the sector is 40 degrees, which TWO statements are true about the composite figure?
The area of the trapezoid is 80 in².
The area of the sector of the circle is 34.90 in².
The area of the square is 40 in².
The area of the trapezoid is 160 in².
The area of the sector of the circle is 29.54 in².
The diagram consisting of a regular pentagon and a sector of a circle is shown below. The apothem of the regular pentagon is 4.1 feet, and the central angle of the sector is 50 degrees. What is the area of the composite shape?
15.71 ft²
61.50 ft²
77.21 ft²
138.71 ft²
The perimeter of a regular hexagonal garden is 60 ft. How far is each edge of the garden from the center?
5√3 ft
10√3 ft
5 ft
10 ft
