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Name
Period
Geometry 7.1-4 Graded Worksheet
Date
Score
____/39
1. The lengths of two sides of a rectangle are in the ratio 2 : 3. If the area of the rectangle is 20 cm2, write an
equation to find the value of x. (2 pts)
2. ∆HJK ~ ∆RST. Complete each statement. K  _______ and
Solve each proportion. (2 pts each)
3.
m 45

15 75
m = _______
4.
JK ______

ST
RT
(2 pts)
5 x2

8
5
x = _______
5. To the nearest inch, a door is 75 in. tall and 35 in. wide. What is the ratio of the width to the height? (2 pts)
In Exercises 6–9, are the triangles similar? If yes, write a similarity statement and explain how you know they
are similar. If not, explain why they are not. (2 pts each)
10. What is a proportion that has means 9 and 10 and extremes 6 and 15? (Your answer is the proportion.) (2 pts)
Find the geometric mean of each pair of numbers. Show your work. Write your answer in the box.
11. 4 and 25
12. 9 and 12
13. 2 and 8
Solve for the value of the variables in each right triangle. Show work for full credit.
(1 pt each variable)
14.
15.
16.
x = _______
x = _______
x = _______
y = _______
y = _______
17.
18.
x = _______
x = _______
y = _______
y = _______
(2 pts each)
19.
z = _______
x = _______
y = _______
z = _______