Font size
WorksheetsDilations and Similar Triangles
Total questions: 20
Worksheet time: 20mins
Choose the correct scale factor:
2
3
1/3
1/2
Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?
(a)
Find the value of x, and use it to find KM.
x = 10, KM = 25
x = 11, KM = 28
x = 13.3 KM = 34.9
x = 4.3, KM = 8
A dilation always produces a similar figure. Similar figures have the same ______ but different ______.
measure; shapes
sizes; shapes
value; measures
shape; sizes
Which must be true of a scale factor of a dilation if the image is smaller that the pre-image?
The scale factor is positive
The scale factor is greater than 1
The scale factor is between 0 and 1
The scale factor is negative
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
(5,3)
(20,12)
(-20,-12)
(-5,-3)
Rectangle ABCD is dilated by a scale factor of 1/2 with the center at B. What are the coordinates of point D?
(6,4)
(3,2)
(4,7)
(12,8)
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
Not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
no similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SSS
AA
SAS
not similar
Are the triangles similar?
Yes
No
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
144 feet
72 feet
36 feet
Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?
QRS and TVW
QRS and XYZ
TVW and JKL
TVW and XYZ
Find side length X.
22.5
10
9
7.5
Find the measure of x:
6
24
33
36
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A'(9,9) B'(18,18) C'(27,9)
A'(6,6) B'(9,9) C'(12,6)
A'(0,0) B'(3,3) C'(6,0)
A'(1,1) B'(2,2) C'(3,1)
If the two triangles are similar, what is the measurement of x?
2 ft
3 ft
4 ft
6 ft
If the two triangles are similar, what is the measurement of x?
3
1.5
8
2/3=0.667
The two given triangles are similar, what is the value of the missing side?
5
7
9
11
Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?
(12, -3)
(12, -6)
(3, -1.5)
(8, -5)
