Geometry A – Unit 7 Final Review
Simplify the ratio
1. 64 feet: 8 feet
_______________
Name: ___________________________________
2. 5 feet: 30 inches
________________
3.A bald eagle has a wingspan of 90 inches and body length of 80 inches. If a toy model of a bald eagle is to scale
and has a body length of 6 inches, how wide is the model’s wingspan in inches?
4. As part of a political study, you need to estimate the number of students at Central High voting “yes” for the “No
Homework Initiative” on the next ballot. You ask 400 students and find that 32 of them plan on voting “yes.” If
Central High has a total of 1,400 students, how many can you predict will vote “yes” based on this random poll?
5. The angles of a triangle are in ratio 1:5:3. Find the measures of each angle.
6. Find the geometric mean of the numbers below. Write your answer in simplified radical form.
A. 2 and 18
B. 3 and 36
7.
B.
Similar? Yes/No Similarity statement: ___________________ Similar? Yes /No
Similarity theorem: ____________________
Similarity statement: ___________________
Similarity theorem: ____________________
7. Find the scale factor of the following similar figures given FGHJ ~ ZYXW .
WX =
Scale factor =
8. Triangles JDH and KSR are similar. The side lengths of JDH are 6 inches, 8 inches, and 10 inches, and the
length of an altitude is 4.8 inches. The shortest side of KSR is 8 inches long.
Find the length of the corresponding altitude in KSR .
Find the lengths of the other two sides of KSR .
9. Use the diagram below to solve for the following
variables given EFGH JKLM .
10. Given EDF ~ NMP , solve for the variables.
11. Based on the given information, find the missing side length or variable in the following diagrams.
AB =
12. Answer the following multiple choice question by circling the best option.
For the figure at the right, which statement is not necessarily true?
PQ UT
=
QR TS
QR TS
=
C. RS RS
A.
TS QR
=
UT PQ
PQ UT
=
D. PR US
B.
13. In the diagram, ABC ~ DEF .
Find the ratio of their perimeters.
14. Given the following triangles are similar,
find the area of the triangle on the right.
15. The ratio of the areas of two similar figures is 121:16. Write the ratio of the corresponding sides.
16. Use the given information to find XY.
17. Find the area of the pentagon on the left.
18. Find the scale factor of the dilation
is it an enlargement or reduction?
19. Find the scale factor of the dilation from triangle A to B.I
Is it an enlargement or reduction?.
20. Use the origin as the center of the dilation and the given scale factor is
image of the polygon. NO DECIMALS
.
P':
Q':
R':
S ':
5
find the coordinates of the vertices of the
2