Font size
WorksheetsUnit 7: Similarities
Total questions: 23
Worksheet time: 35mins
Complete the similarity statement for these two triangles.
ΔZYX ∼ Δ (a)
What is the similarity statement for the triangle pair?
ΔXYZ~ΔNEW
ΔYZX~ΔNWE
ΔXZY~ΔNWE
ΔZYX~ΔENW
The pair of figures is similar. Find the missing side.
x = 40
x = 4
x = 3
x = 12
ABCD ~ HIJK. Find the value of AB
AB = 10
AB = 7
AB = 5
AB = 20
Find the value of x, if ABC ~ JKL.
x = 10
x = 45
x = 20
x = 15
Find the value of AR if WELD ~ STAR.
AR = 2
AR = 12
AR = 4
AR = 15
You have 2 televisions that are similar to each other. The first TV has a length of 48in and a width of 40in. The second one has a length of 36in. What is the width of the second TV?
30 in
25 in
33 in
28 in
You are have a mini Hershey's bar and a large Hershey's bar. The mini bar is 5cm long and 2cm wide. If the large bar has a width of 14cm, what is the length?
30 cm
35 cm
25 cm
40 cm
A ~ B. What is the scale factor from A to B?
3/4
2/3
3/2
4/3
A ~ B. What is the scale factor from A to B?
4/3
2/3
3/2
3/4
A ~ B ~ C ~ D. What is the scale factor from C to D.
1/2
2
2/3
3/2
A ~ B ~ C ~ D. What is the scale factor from A to B.
1/4
4
3/4
4/3
Find the polygon similar to the triangle.
The lengths of the 3 sides of a certain triangle are related as shown below, where n is the length of the shortest side of the triangle.
2n, 5n, 9n
Which of these name the lengths of the sides for another triangle, similar to the first triangle, for any value n≥1?
3n +1, 7.5n +1, 12n +1
2n +2, 5n +2, 9n +2
4n, 10n, 16n
6n, 15n, 27n
The lengths of the 3 sides of a certain triangle are related as shown below, where k is the length of the shortest side of the triangle.
3k, 6k, 10k
Which of these name the lengths of the sides for another triangle, similar to the first triangle, for any value n≥1?
1.5k, 3k, 5k
3k +4, 6k +3, 9k +2
6k, 13k, 20k
2k +1, 5k +1, 9k +1
The diagram shows a rectangle that is 8 centimeters by 18 centimeters in measure.
Which is the measure of a rectangle that is similar to the rectangle given?
6cm by 16cm
4cm by 8cm
12cm by 27cm
9cm by 19cm
The diagram shows a rectangle that is 4.5 centimeters by 8.6 centimeters in measure.
Which is the measure of a rectangle that is similar to the rectangle given?
13.5cm by 25.8cm
5.5cm by 9.6cm
9cm by 17cm
10.5cm by 20.4cm
In the same figure above, if 𝑆𝑅 = 11, 𝑈𝑆 = 4, 𝑅𝑄 = 3𝑥 − 5 and 𝑈𝑇 = 𝑥 − 1. Find 𝑅𝑄.
11.5
21
22
24
12
16
18
20
Use the figure to complete the proportion
EN
EH
ST
ON
∆𝐻𝑂E
∆POE
∆EOP
∆EPO
AA
SAS
ASA
SSS
Which of the following pairs of triangles cannot be proved similar?
