Geo Review Similarity Plus
Name __________________________
1. The figures at the right are similar. What are the ratio
of perimeters and the ratio of areas?
Perimeters: ______
Areas: _____
2. The areas of two similar octagons are 72 in2 and 128 in2. Find their scale factor.
3. An equilateral triangle has a perimeter of 48 cm. What is its area?
4. What the similarity ratio of two similar figures whose perimeters are 72 ft and 99 ft?
5. The longer base of a right trapezoid is 12 ft. The longer base of a similar right trapezoid is 30 ft. The
area of the smaller right trapezoid is 20 ft2. What is the area of the larger right trapezoid?
6. A postcard costs $0.95. Leslie wants to buy a poster that is a similar shape with a scale factor for the
poster to the postcard of 5 : 1. How much should she expect to pay for the poster?
7. Two similar parallelograms have areas 125 m2 and 80 m2. The height of the larger parallelogram is
10 m. What are the lengths of the bases of both parallelograms?
8. A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft
long by 20 ft wide. Instead, the team decided to excavate a similar rectangle that is 50 ft wide. Find
the length and the area of the new rectangle.
9. If the rectangles shown at the right are similar, what is the
area of the shaded rectangle? Round to the nearest tenth.
10. Express Sin A, Cos A, and tan A as ratios.
Sin A = _____
Cos A = _____
Tan A = _____
Find the value of the variables for each pair of similar figures.
11.
12.
Find the value of each variable. Leave your answer in simplest radical form.
13.
14.
Find the value of x. Show your trig equation and round answers to the nearest tenth.
15.
16.
Find the value of y.
17.
18.
19. Find the area of the shaded sector.
20. Find the value of x. Round to nearest tenth.
21. State the center and radius of the circle: (x – 5)2 + (y + 6)2 = 16