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Worksheets[Math Models] Similar Triangles/Transformations Review
Total questions: 40
Worksheet time: 46mins
Name
Class
Date
1.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
2.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
3.
Rotation or Reflection
a)
Rotation
b)
Reflection
c)
translation
4.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
d)
(x-2, y+9)
5.
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)
6.
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)
7.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
8.
A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?
a)
dilation
b)
translation
c)
rotation
d)
reflection
9.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
10.
Triangle GHI is reflected across the x-axis. What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
11.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
12.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
13.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
14.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
15.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
16.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
17.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
18.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
19.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
20.
True or False : When you transform a figure, it is congruent to the original figure.
a)
True
b)
False
21.
Which of the following is an acceptable explanation why transformed figures are congruent to the original figures.
a)
The figures are actually NOT congruent.
b)
It depends on whether you translated, rotated, or reflected.
c)
Side lengths and angles measures stay the same when transformed.
d)
The figures look the same.
22.
To rotate a figure 90o, turn your paper:
a)
1 time clockwise
b)
1 time counter clockwise
23.
Which transformation changes the size of a figure?
a)
Rotation
b)
Dilation
c)
Reflection
d)
Translation
24.
When dilating the point (-5, 2) by a factor of 3, the new point will be at:
a)
(-15, 6)
b)
(-2, 5)
c)
(-15, 2)
d)
(-5, 6)
25.
a)
1/2
b)
3/2
c)
2
d)
1
26.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
27.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
28.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
29.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
30.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
31.
How are the triangles similar?
a)
AA
b)
SAS
c)
SSS
d)
NEI or Not Similar
32.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
33.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
34.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
35.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
36.
Are these triangles similar?
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
37.
Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 60⁰,40⁰
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 60⁰,40⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
38.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
39.
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?
a)
144 feet
b)
72 feet
c)
36 feet
40.
Tell whether the transformation is a dilation. Explain.
a)
No, scale factor isn't the same.
b)
Yes, scale factor is the same.
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