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

Last updated 2 days ago

26 questions

Note from the author:

Instructions

Required

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

Last updated 2 days ago

26 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.

Instructions

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 6 Transformation Review

Translations:

Required

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

Reflections:

Required

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

Reflections:

Required

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

Rotations:

Required

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

Transformation Practice

Required

What does the following rule describe? (x, y) → (x+2, y-5)

Use your own words to describe the rule.

Required

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)

(x,y) →

Required

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?
_______ 

Required

Draggable item		Corresponding Item

Required

The point (3,-2) is reflected and the new point is (-2,3). The line of reflection was the line _______ 

Required

The point (-5,2) is reflected and the new point is (-2,5). The line of reflection was the line _______ 

Required

 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) →_______ 

Required

 Finish each rule for counterclockwise rotations about the origin using coordinate form:
90⁰ rotation counterclockwise is the same as  _______⁰ rotation clockwise.

_______⁰  rotation counterclockwise is the same as  180⁰ rotation clockwise.
  
90⁰ rotation clockwise is the same as   _______⁰ rotation counterclockwise.

Required

What kind of rotation is this?
(2,-3)→(-3,-2)

Use " ⁰ " in your answer.
_______ 

Required

What kind of rotation is this?
(4,0)→(-4,0)

Use " ⁰ " in your answer.
_______ 

Required

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

Required

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

Required

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

Required

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

Required

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

Required

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

Required

Draggable item		Corresponding Item
"flip the coordinates"		reflect over the line y=-x
"change the sign of the first number"		rotate 270 degrees counterclockwise
"change the signs of both number"		rotate 90 degrees counterclockwise
"flip the coordinates" then "change the signs of both number"		reflect over the y - axis
"flip the coordinates" then "change the sign of the second number"		reflect over the x - axis
"change the sign of the second number"		rotate 180 degrees
"flip the coordinates" then "change the sign of the first number"		reflect over the line y=x

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

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

Unit 6 Transformation Review

Translations:

Reflections:

Reflections:

Rotations:

Transformation Practice

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) →

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)

Unit 6 Transformation Review

Translations:

Reflections:

Reflections:

Rotations:

Transformation Practice

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) →

Match the description of a transformation to its coordinate form

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)

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

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

Unit 6 Transformation Review

Translations:

Reflections:

Reflections:

Rotations:

Transformation Practice

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) →

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)

Unit 6 Transformation Review

Translations:

Reflections:

Reflections:

Rotations:

Transformation Practice

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) →

Match the description of a transformation to its coordinate form

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)

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) →

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) →