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.
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'
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 <-5,-2>
A'
B'
C'
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'
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'
Reflection the figure over the given line of reflection.
Triangle FGH with vertices F(-2, -3), G(-4,0), and H(-6, 1): y = - x
F'
G'
H'
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'
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'
What does the following rule describe? (x, y) → (x+2, y-5)
Use your own words to describe the rule.
Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)
(x,y) →
You need to move a figure to the right 3 units and down 4 units.
What is the coordinate notation for this rule?
(x, y) →
What is the vector notation that describes this rule?
Match the description of a transformation to its coordinate form
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
"flip the coordinates" | arrow_right_alt | reflect over the line y=-x |
"change the sign of the first number" | arrow_right_alt | rotate 270 degrees counterclockwise |
"change the signs of both number" | arrow_right_alt | rotate 90 degrees counterclockwise |
"flip the coordinates" then "change the signs of both number" | arrow_right_alt | reflect over the y - axis |
"flip the coordinates" then "change the sign of the second number" | arrow_right_alt | reflect over the x - axis |
"change the sign of the second number" | arrow_right_alt | rotate 180 degrees |
"flip the coordinates" then "change the sign of the first number" | arrow_right_alt | reflect over the line y=x |
The point (3,-2) is reflected and the new point is (-2,3). The line of reflection was the line
The point (-5,2) is reflected and the new point is (-2,5). The line of reflection was the line
Finish each rule for counterclockwise rotations about the origin using coordinate form:
90⁰ rotation counterclockwise (x, y) →
180⁰ rotation counterclockwise (x, y) →
270⁰ rotation counterclockwise (x, y) →
Finish each rule for counterclockwise rotations about the origin using coordinate form:
90⁰ rotation counterclockwise is the same as
90⁰ rotation clockwise is the same as
What kind of rotation is this?
(2,-3)→(-3,-2)
Use " ⁰ " in your answer.
What kind of rotation is this?
(4,0)→(-4,0)
Use " ⁰ " in your answer.
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-2,y+3)
Identify the point translated from the coordinate (3,0). Using the rule: (x,y)-->(x,y-2)
Identify the point translated from the coordinate (0,6). Using the rule: (x,y)-->(x+3,y-8)
Identify the point reflected from the coordinate (5,5). Using the rule: (x,y)-->(-x,y)
Identify the point reflected from the coordinate (5,2). Using the rule: (x,y)-->(-y,-x)
Identify the point rotated from the coordinate (-5,1). Using the rule: (x,y)-->(-x,-y)
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'
