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Name ____________________________________
Geometry
Chapter 7 Test
Date ________________
Algebra Solve each proportion. Show all your work.
y y6

3
8
1.
2.
8
6

2y  3 y  4
3. The ratio of the width to the height of a window is 2 : 7. The width of the window is 3 ft.
Write and solve a proportion to find the height.
4. The angles of a triangle are in the extended ratio of 3 : 5 : 10. Find the measure of each angle.
5. In the proportion a = c
b d
What is the proper math vocabulary word for b and c? ____________
What is the proper math vocabulary word for a and d? ___________
Are the triangles similar? If yes, write a similarity statement and explain how you know
they are similar – use a shortcut if you’d like.
If not, explain why not.
Determine whether the polygons are similar. If so, write a similarity statement
and give the scale factor. If not, explain. Please be careful ♥
8.
9.
The polygons are similar. Find the value of each variable and then find the scale
10.
11.
factor.
b
Find the geometric mean of each pair of numbers.
12. 8 and 12
13. 20 and 6
14. Error Analysis A classmate writes an incorrect proportion to find x.
Explain AND correct the error.
15. In ∆DEF, the angle bisector of D intersect at EF at M. EM is 5 inches and MF is 12 inches.
If DE is 17 inches, find the measure of DF.
Algebra Find the value of x.
16
18.
19. The map at the right shows the walking paths at a local park. The garden walkway is parallel to
the walkway between the monument and the pond. How long is the path from the pond to the
playground?
{
Big
hint
:
ans
wer
the
que
stio
n♥
17.
20. Triangle QRS has line XY parallel to side RS. The length of QY is 12 in. The length of QX is 8
in.
a. Draw a picture to represent the problem.
b. If the length of XR is 5 in., what is the length of QS?
Write a similarity statement relating the three triangles in the diagram.
21.
Solve for the value of the variables in each right triangle.
22.
23.
Word Bank
ratio
proportion
scale factor
similar
polygons
indirect
measurement
cross
products
property
geometric
mean
side
splitter
theorem
sponge bob
squarepants
extended
proportion
extended
ratio
scale
drawing
24. ______________________ Compares three or more items.
25. ______________________ Is the ratio of corresponding linear measurements of two similar
figures.
26. ______________________ Is a comparison of two things, sometimes written as a fraction.
27. ______________________ A drawing where all lengths are proportional to their corresponding
actual lengths.
28. ______________________ In a proportion, the means are the same.
29. ______________________ Polygons whose corresponding angles are congruent and the lengths
of the corresponding sides are proportional.
30. ______________________ If a line is parallel to one side of a triangle and intersects the other two
sides, then it divides those sides proportionally.
31. ______________________ Two ratios that are equal to each other.
32. ______________________ In an equation, when you multiply the extremes and means to create
an equation without a denominator.
33. ______________________ A way to find lengths that are hard to measure directly.
34. ______________________ Three or more ratios are equal.
35. ______________________
He lives in a pineapple under the sea.