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Unit 5: Transformations Study Guide (Due 2/4/25)

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Last updated 10 months ago
21 questions
Note from the author:
Essential Question: What happens when you apply more than one transformation to a figure?

Learning Target: Students will be able to apply a sequence of transformations on a figure after completing this assignment.

Use complete sentences for credit.

Complete the entire document and show work for full credit.
Essential Question: What happens when you apply more than one transformation to a figure?

Learning Target: Students will be able to apply a sequence of transformations on a figure after completing this assignment.

Use complete sentences for credit.

Complete the entire document and show work for full credit.
Required
30
Required
30
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24
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18
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30
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5
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5
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5
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5
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5
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5
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5

Day 1 (1/29/25)

Unit 5 Transformation Review

Translations:

Required
20
Question 1
1.
Transform the figure with the given translation.

Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y – 4)

A'_______
B'_______
C'_______
Required
20

Reflections:


Required
20
Question 3
3.
Reflection the figure over the given line of reflection.

Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3): x-axis

F'_______
G'_______
H'_______
Required
20

Reflections:


Required
20
Question 5
5.
Reflection the figure over the given line of reflection.

Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3): y = x

F'_______
G'_______
H'_______
Required
20

Day 2 (1/30/25)

Rotations:


Required
20
Question 7
7.
Rotate this figure with the given angle and direction.

Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 90° counterclockwise

F'_______
G'_______
H'_______
Required
20
Required
20
Question 10
10.
Triangle GHI with vertices G(2, 7), H(3, 3), and I(6, 6):

a) translation along the vector <-4, -2>
G'_______
H'_______
I'_______
b) reflection in the line y = x
G''_______
H''_______
I''_______
Question 11
11.
Triangle XYZ with vertices X(-3, 7), Y(-2, 1), and Z(-5, 2):
a) reflection in the x-axis
X'_______
Y'_______
Z'_______
b) rotation 90° counterclockwise
X''_______
Y''_______
Z''_______

Day 3 2/3/25

Question 12
12.

Match the description of a transformation to its coordinate form

Draggable itemarrow_right_altCorresponding Item
to the left 1 units and up 1 units
arrow_right_alt
(x-2,y-3)
to the right 3 units and down 3 units
arrow_right_alt
(x+5,y-6)
to the left 2 units and down 8 units
arrow_right_alt
(x+1,y+7)
to the right 1 units and up 7 units
arrow_right_alt
(x+3,y-3)
to the right 3 units and up 3 units
arrow_right_alt
(x-3,y-3)
to the right 5 units and down 6 units
arrow_right_alt
(x+3,y+3)
to the left 3 units and down 3 units
arrow_right_alt
(x-2,y-8)
to the left 2 units and down 3 units
arrow_right_alt
(x-1,y+1)
Question 13
13.

Match the description of a transformation to its coordinate form

Draggable itemarrow_right_altCorresponding Item
"change the sign of the second number"
arrow_right_alt
reflect over the line y=-x
"change the sign of the first number"
arrow_right_alt
rotate 270 degrees counterwise
"flip the coordinates" then "change the sign of the second number"
arrow_right_alt
rotate 90 degrees counterwise
"flip the coordinates" then "change the sign of the first number"
arrow_right_alt
reflect over the y - axis
"change the signs of both number"
arrow_right_alt
reflect over the x - axis
"flip the coordinates" then "change the signs of both number"
arrow_right_alt
rotate 180 degrees
Question 14
14.
Triangle XYZ with vertices X(-3, -2), Y(-2, -5), and Z(-5, -6):
a) reflection on the line y = - x
X'_______
Y'_______
Z'_______
b) rotation 270° counterclockwise
X''_______
Y''_______
Z''_______
Question 15
15.

Identify the point translated from the coordinate (-3,2). Using the rule: (x,y)-->(-x,y)

Question 16
16.

Identify the point translated from the coordinate (-3,2). Using the rule: (x,y)-->(x-2,y+5)

Question 17
17.

Identify the point translated from the coordinate (3,0). Using the rule: (x,y)-->(x,y-2)

Question 18
18.

Identify the point translated from the coordinate (0,6). Using the rule: (x,y)-->(x+3,y-8)

Question 19
19.

Identify the point reflected from the coordinate (5,5). Using the rule: (x,y)-->(-x,y)

Question 20
20.

Identify the point reflected from the coordinate (5,2). Using the rule: (x,y)-->(-y,-x)

Question 21
21.

Identify the point rotated from the coordinate (-5,1). Using the rule: (x,y)-->(-x,-y)

Question 2
2.
Transform the figure with the given translation.

Translate the triangle ABC with vertices A(-2, 3), B(6, -2), and C(0, 0) with the vector <6,-2>

A'_______
B'_______
C'_______
Question 4
4.
Reflection the figure over the given line of reflection.

Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3): y-axis

F'_______
G'_______
H'_______
Question 6
6.
Reflection the figure over the given line of reflection.

Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3): y = - x

F'_______
G'_______
H'_______
Question 8
8.
Rotate this figure with the given angle and direction.

Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 180°

F'_______
G'_______
H'_______
Question 9
9.
Rotate this figure with the given angle and direction.

Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 270° counterclockwise

F'_______
G'_______
H'_______