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

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Last updated 10 days ago
21 questions
Note from the author:
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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.

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
Question 6
6.

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.

Draggable itemarrow_right_altCorresponding Item
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Question 13
13.

Match the description of a transformation to its coordinate form

Draggable itemarrow_right_altCorresponding Item
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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'_______
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'_______
Match the description of a transformation to its coordinate form
to the right 1 units and up 7 units
(x-2,y-3)
to the left 1 units and up 1 units
(x+5,y-6)
to the right 3 units and up 3 units
(x+1,y+7)
to the right 3 units and down 3 units
(x+3,y-3)
to the left 2 units and down 8 units
(x-3,y-3)
to the right 5 units and down 6 units
(x+3,y+3)
to the left 2 units and down 3 units
(x-2,y-8)
to the left 3 units and down 3 units
(x-1,y+1)
"change the sign of the second number"
reflect over the line y=-x
"change the signs of both number"
rotate 270 degrees counterwise
"flip the coordinates" then "change the sign of the second number"
rotate 90 degrees counterwise
"flip the coordinates" then "change the signs of both number"
reflect over the y - axis
"change the sign of the first number"
reflect over the x - axis
"flip the coordinates" then "change the sign of the first number"
rotate 180 degrees