Unit 5: Transformations Study Guide (Due 2/4/25)
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Last updated 8 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.
Unit 5 Transformation Review
Translations:
Required
20
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
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'_______
Reflections:
Required
20
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
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'_______
Reflections:
Required
20
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
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'_______
Rotations:
Required
20
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
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'_______
Required
20
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'_______
Required
30
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''_______
Required
30
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''_______
Required
24
Match the description of a transformation to its coordinate form
Match the description of a transformation to its coordinate form
| Draggable item | arrow_right_alt | Corresponding 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 right 1 units and up 7 units | arrow_right_alt | (x+1,y+7) |
to the left 2 units and down 8 units | arrow_right_alt | (x+3,y-3) |
to the left 2 units and down 3 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-2,y-8) |
to the left 3 units and down 3 units | arrow_right_alt | (x-1,y+1) |
Required
18
Match the description of a transformation to its coordinate form
Match the description of a transformation to its coordinate form
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
"flip the coordinates" then "change the signs of both number" | arrow_right_alt | reflect over the line y=-x |
"flip the coordinates" then "change the sign of the second number" | arrow_right_alt | rotate 270 degrees counterwise |
"change the sign of the second number" | arrow_right_alt | rotate 90 degrees counterwise |
"change the signs of both number" | arrow_right_alt | reflect over the y - axis |
"flip the coordinates" then "change the sign of the first number" | arrow_right_alt | reflect over the x - axis |
"change the sign of the first number" | arrow_right_alt | rotate 180 degrees |
Required
30
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''_______
Required
5
Identify the point translated from the coordinate (-3,2). Using the rule: (x,y)-->(-x,y)
Identify the point translated from the coordinate (-3,2). Using the rule: (x,y)-->(-x,y)
Required
5
Identify the point translated from the coordinate (-3,2). Using the rule: (x,y)-->(x-2,y+5)
Identify the point translated from the coordinate (-3,2). Using the rule: (x,y)-->(x-2,y+5)
Required
5
Identify the point translated from the coordinate (3,0). Using the rule: (x,y)-->(x,y-2)
Identify the point translated from the coordinate (3,0). Using the rule: (x,y)-->(x,y-2)
Required
5
Identify the point translated from the coordinate (0,6). Using the rule: (x,y)-->(x+3,y-8)
Identify the point translated from the coordinate (0,6). Using the rule: (x,y)-->(x+3,y-8)
Required
5
Identify the point reflected from the coordinate (5,5). Using the rule: (x,y)-->(-x,y)
Identify the point reflected from the coordinate (5,5). Using the rule: (x,y)-->(-x,y)
Required
5
Identify the point reflected from the coordinate (5,2). Using the rule: (x,y)-->(-y,-x)
Identify the point reflected from the coordinate (5,2). Using the rule: (x,y)-->(-y,-x)
Required
5
Identify the point rotated from the coordinate (-5,1). Using the rule: (x,y)-->(-x,-y)
Identify the point rotated from the coordinate (-5,1). Using the rule: (x,y)-->(-x,-y)