MATH 9
CI{APTER 4 ASSIGNMENT
SCALE FACTORS AND SIMILARITY
Show ALL work for the requircd questions. Do NOT assrunethat I will know what you
mean.
1. Draw an enlatgementof the figure usinga scalefactor of 2. Q marks)
2. Draw a reducdon of the lettet using a scale factor of 0.5. (2 marks)
3. For each image in column A, state whether the image in column B has a scale factor
(3 mark$
a. Greater than 1
b. Less than 1
c. Equal to 1
4. Dtaw an enlargement of the flag using a scale factor of 3. Q marks)
Find the missing value. Show yorrr work. (2 marks each)
a'
1
s=;
1
3
.
5
,
1
L
2
.
b';=;6-
5
Use the scale factor to calculate the actual length of each object. (2 marks each)
a. The scale factor for the image of this hockey stick is 1:42.
3.1cm
b. The Euvira Micmac beetle below is enlarged using a scale factor of 1:0.05.
40mm
7. What scale factor is used to create each image below? (2 marks each)
L. The actual size of this award is 34.3 cm.
b. The avetage height of a male gyaffe is 6 m.
The scale fot an image of a tower is 1 cm represents 72.5 m. If the acual tourer measures
108.75 m in heighg what is its height on the &awinng? (2 ma*s)
9. Tdangles ate similar if one of the following conditions is true: (2 marks)
a. Coresponding
equalin measrre.
b. Conesponding
proportional in length.
10. Detennine tf MpRand AMIVL are similar. Show all your wotk. (4 marks)
11. Are 1f,s5srrianglessimilar? Shgw how you know. (2 ma*s)
12. Detetmine the missing side length of the mianglesbelow. Shou' all your work.
(2 matks)
13. Kaylee is 100 cm tall and is standing so that her mothet's shadow covers het shadow. Sheis
90 crn ftom het mothet and het mothet's shadowrs 225 crn long. Hovr tall is her mother?
Exptess your anssrerto the n
st cefltimetre. (2 matk$
14. The two verticd supports on a ramp fotm two triangles. LABCis similar to
C. Find
the height of the ramp by
the missing length,y. Sh your wotk. (2 marks)