Download 1. The ratio of the side lengths of an isosceles triangle is 4 : 4 : 7

Geometry Pre- AP
Section 7.1 & 7.2
Name___________________________
1. The ratio of the side lengths of an isosceles triangle is 4 : 4 : 7, and it’s perimeter is 52.5 cm. What is the
length of the base of the triangle?
Solve each proportion:
x 2
5
2.

12
x 2
5. Given that 5y = 25x, find the ratio of
x to y in simplest form.
3.
2m  2
12

3
2m  2
4.
5y 125

16
y
6. Write a ratio expressing the slope of the line through
the pair of points (-6, -4) and (21, 5).
7. Madurodam is a park in the Netherlands that contains a complete Dutch city built entirely of miniature
models. One of the models of a windmill is 1.2 m tall and 0.8 m wide. The width of the actual windmill is 20 m.
What is its height?
8. One square has sides 6 cm long. Another has sides 9 cm long. Find the ratio of the areas of the squares.
9. The ratio of the perimeter of rectangle ABCD to the
perimeter of rectangle EFGH is 4 : 7. Find x.
10. A recipe for salad dressing calls for oil and vinegar in a ratio of 5 parts oil to 2 parts vinegar. If you use
1
1 cups of oil, how many cups of vinegar will you need?
4
11. Two complementary angles have measures in
the ratio 1 : 5. Find the measure of each angle.
12. The ratio of the measures of two supplementary
angles is 3 : 7. Find the measure of each angle.
Determine whether the polygons are similar. If so, write the similarity ratio AND similarity statement.
13.
RSQ and UZX
14.
rectangles ABCD and JKLM
Tell whether each statement is sometimes always or never true.
15. Two right triangles are similar. _________________________
16. Two squares are similar. ___________________________
17. A parallelogram and a trapezoid are similar. _________________________
18. If two polygons are congruent, they are also similar. ___________________________
19. If two polygons are similar, they are also congruent. ___________________________
20. Any polygon is similar to itself. ___________________________
21. Any two squares are similar. __________________________
22. The ratio of a model car’s dimensions to the actual car’s dimensions is
1
. The model has a length of 3 in.
56
What is the length of the actual car?
23. Square ABCD has an area of 4 m2. Square PQRS has an area of 36 m2. What is the similarity ratio of square
ABCD to square PQRS?
24. An architect is designing a building that is 200 ft long and 140 ft wide. She builds a model so that the
1
similarity ratio of the model to the building is
. What is the length and width of the model in inches?
500