NEW
Font size
S
M
L
XL
WorksheetsSimiliar Figures and Transformations
Total questions: 28
Worksheet time: 40mins
Name
Class
Date
1.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
2.
Find y.
a)
144
b)
18
c)
72
d)
12
3.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
4.
On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
5.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
6.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
7.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
8.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
9.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
10.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
11.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
12.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
13.
1. Two triangles are similar, and the ratio of each pair of corresponding sides is 2:1. Which statement regarding the two triangles is not true?
a)
Their areas have a ratio of 4:1
b)
Their altitudes have a ratio of 2:1
c)
Their perimeters have a ratio of 2:1
d)
Their corresponding angles have a ratio of 2:1
14.
Find the ratio (blue to red) of the area.
a)
4/7
b)
7/4
c)
49/16
d)
16/49
15.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
16.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
17.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
18.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
19.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
20.
Identify the transformation from B to A.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
21.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
22.
Which answer shows a reflection across the x-axis?
a)
a
b)
b
c)
c
d)
d
23.
Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
24.
Triangle ABC has vertices A(5,2). Find the coordinates of ABC after a reflection over the x-axis.
a)
A’(5, -2)
b)
A’(-5, -2)
c)
A’(-5, -2)
25.
Triangle C is rotated 180° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
a)
(x,y)→(y, -x)
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
26.
Does the image show a Dilation?
a)
Yes
b)
No
27.
Does the image show a dilation?
a)
Yes
b)
No
28.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
Reset
