Download 1. The ratio of the side lengths of an isosceles

Geometry Pre- AP
7.1/7.2 – Ratios & Proportions
Name___________________________
1. The ratio of the side lengths of an isosceles triangle is 4: 4: 7 and its perimeter is 52.5 cm. What is the
length of the base of the triangle?
For # 2-3, Solve the proportion:
2.
x 2
5

12
x 2
3.
2m  2
12

3
2m  2
4. Given that 5y = 25x, find the ratio of
x to y in simplest form.
5. The ratios of the measures of the angles in △DEF is 7:13:16. Find the measure of the angles
6. Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leaf clovers during the first 12
minutes of his search. If Nathaniel spends a total of 180 minutes searching in the field, predict the number
of four-leaf clovers Nathaniel will find.
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. Find x. Then find the ratio of the perimeter and Area of rectangle ABCD to the
Perimeter and area of rectangle EFGH is 4:7.
Ration of Perimeter: ______________________ Ratio of Area: __________________
9. 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
cups of oil, how many cups of vinegar will you need?
1
4
10. Two complementary angles have measures in
the ratio 1 : 5. Find the measure of each angle.
11. 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.
12.
RSQ and UZX
13.
rectangles ABCD and JKLM
Tell whether each statement is sometimes always or never true.
14. Two right triangles are similar. _________________________
15. Two squares are similar. ___________________________
16. A parallelogram and a trapezoid are similar. _________________________
17. If two polygons are congruent, they are also similar. ___________________________
18. If two polygons are similar, they are also congruent. ___________________________
19. Any polygon is similar to itself. ___________________________
20. Any two squares are similar. __________________________
21. 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?
22. 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