Geometry – Unit 7
Unit 7 Review Jeopardy
Ratios and
Proportions
Similar
Polygons
Proving Δs
Similar
Similarity
in Right Δs
Proportions
in Δs
$100
$200
$300
$400
$500
$100
$200
$300
$400
$500
$100
$200
$300
$400
$500
$100
$200
$300
$400
$500
$100
$200
$300
$400
$500
100
Solve the following proportion for x.
4
x 6

10 2x  4

x = 22
200
The scale on a map is 1 in. = 120 mi. If it is
6 ½ in. on a map from Cincinnati, Ohio, to
Destin, Florida, what is the actual distance
in miles?
780 miles
300
Solve the following proportion for x.
2
x3

x 3x 10

x = 4 or 5
400
A scale drawing of a living room has a scale of 2 in
to 3 ft. If the dimensions of the scale drawing are
12 in-by-16 in, what are the actual dimensions of
the living room?
18 ft-by-24 ft
500
A white wall is 15 ft high by 10 ft wide. If a
projector projects an image with a height to width
ratio of 5/8. What are the largest possible
dimensions for the projection?
6ft 3in by 10ft
100
Given that ΔABC~ΔDEF, find the value of x.
x = 48
200
Given that the following polygons are similar,
find the value of x.
x = 78
300
The following polygons are similar. Find 1) the
similarity ratio of LMNO to PQRS and find 2) the
value of x. Leave answers as fractions.
1) 3/5 and 2) 24/5
400
Given that ΔQRS~ΔXYZ, find the value of x.
x = 15
500
Two squares have areas of 147 in2 and 75 in2.
Find the similarity ratio of the smaller square to
the larger square. Leave answer in simplest
fraction form.
5/7
100
Are the following triangles similar? If so, state
the postulate or theorem that tells why. If not,
explain why not.
Yes. AA~ Postulate.
200
Are the following triangles similar? If so, state
the postulate or theorem that tells why. If not,
explain why not.
No b/c the corresponding
angles are not congruent.
300
Are the following triangles similar? If so, state
the postulate or theorem that tells why. If not,
explain why not.
Yes. SAS~ Theorem.
400
A 5 foot woman casts an 8-foot shadow. At the
same time, a flag pole casts a 42-foot shadow.
Find the height of the flag pole in feet and inches.
26ft 3in
500
Complete the following proof.
Given : ABBD, BDDE
Prove : ABC ~ EDC
Statements
1) ABBD, BDDE
2) B and D are rt. s
3) B  D
4) 1 2
5) ABC ~ EDC
Reasons
1) Given
2) Defn. of perpendicular
3) All right angles are congruent
4) Vertical angles theorem
5) AA~ postulate
100
Find the geometric mean between 7 and 28. If
necessary, write your answer as a radical in
simplest form.
14
200
Find the geometric mean between 12 and 50.
If necessary, write your answer as a radical in
simplest form.
10√6
300
Refer to the figure to complete the following
proportion.
a h

c ?
?=b
400
Find the length of the altitude to the hypotenuse of a
right triangle whose sides have lengths 9, 12, and 15.
If necessary, write your answer as a reduced
improper fraction.
36/5
500
Find the values of the variables. If necessary, leave
answers in simplest radical form.
x = 12 y = 6√ 3 z = 12√3
100
Use the figure at the right to complete each
proportion.
KM
?

MW LW
? = KL
200
Use the figure at the right to complete each
proportion.
JP RT

?
RW
? = JM
300
Find the value of x.
x=2
400
Find the value of x.
x=4
500
Find the value of x.
x=3
Insert Question
Insert Answer
FINAL
JEOPARDY
Enter Title Here
?
Find the value of x.
x = 4.7