5.1 Translations (Due 2/13/24)

Essential Question: What happens when you slide objects on a coordinate plane?

Learning Target: Students will be able to perform translations on objects on a coordinate plane. 

Complete the entire assignment and show work for full credit.

Required

9

What are the three types of rigid motion?

"Spin"_______ 
"Slide"_______ 
"Flip"_______ 

Required

3

What is another word for translation besides "slide"?

_______ 

Required

2

Rigid motion like, translations, reflections, and rotations change the size and shape of a figure.

Required

16

Match the description of a translation to its coordinate form

Draggable item		Corresponding Item
to the right 1 units and up 1 units		(x+2,y+3)
to the right 3 units and down 3 units		(x-5,y+6)
to the right 1 units and down 7 units		(x+1,y-7)
to the left 5 units and up 6 units		(x+3,y-3)
to the left 2 units and up 8 units		(x-3,y-3)
to the right 2 units and up 3 units		(x+3,y+3)
to the down 3 units and down 3 units		(x-2,y+8)
to the right 3 units and up 3 units		(x+1,y+1)

Required

3

When performing translation, the image describes the object ____________ a the translation has been performed.

Required

2

You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?

Required

5

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

Use your own words to describe the rule.

10

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

10

Which of the following shows the rule in coordinate notation for the translation above?

Required

10

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

(x,y) →

Required

5

Describe the translation that maps each preimage to its image in coordinate
notation.

Required

5

Describe the translation that maps each preimage to its image in coordinate
notation. No Spaces

Required

30

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.
C'_______ 
D'_______ 
E'_______ 
Protip: Transform the points first then graph them.

Required

40

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

J'_______ 
K'_______ 
L'_______ 
M'_______ 
Protip: Transform the points first then graph them.

Required

40

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

W'_______ 
X'_______ 
Y'_______ 
Z'_______ 
Protip: Transform the points first then graph them.

Translation with Vectors Due (2/9/23)

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

40

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

L'_______ 
M'_______ 
N'_______ 
P'_______ 
Protip: Transform the points first then graph them.

Required

40

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

F'_______ 
G'_______ 
H'_______ 
I'_______ 
Protip: Transform the points first then graph them.

Required

5

Required

5

Day 3 2/13/24

Concept Review

Required

9

The slope of a line is the ratio of __________ over __________.  Another name for slope is __________.

Required

5

Write the equation in slope intercept form with the given information:

Required

4

Identify the coordinate (-5,5) and the coordinate that is 5 units to the right and 1 unit up from it.

Required

4

Identify the coordinate (-3,2) and the coordinate that is 1 unit to the left and 6 units down from it.

Required

2

Identify the point that is 3 units to the left and 4 units down from the coordinate (3,0).

Required

10

Identify the point that is 3 units to the left and 3 units up from the coordinate (3,0).

Required

5

What are the x and y-intercepts for this function? Use desmos to help you identify them.
(Do not use spaces when you enter the coordinates)
6x-3y=18
\/\/\/\/\/\/\/\/\/\/\/
x-intercept
_______ 
y-intercept
_______ 

Required

5

What are the x and y-intercepts for this function? Use desmos to help you identify them.
(Do not use spaces when you enter the coordinates)
5x+2y=14
\/\/\/\/\/\/\/\/\/\/\/
x-intercept
_______ 
y-intercept
_______ 

Required

10

Directions: Solve each system by substitution. [Write your answer in coordinate form--(x,y)]

Be sure to write your solution in coordinate form (x,y)

Required

20

Solve each system of equations by elimination. [Write your answer in coordinate form--(x,y)]

Required

20

Solve each word problem using substitution or elimination.

# nickels _______ 
# quarters _______  

1

You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?

Required

1

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

Required

5

Finish the rule for a transformation that translates 5 units down and 2 units right.

(x,y) →

Required

10

Are the two figures congruent? Explain your reasoning using complete sentences.

Required

3

Which of the following shows the rule in coordinate notation for the translation from question 39 above?

Remember to use the coordinate notation (x,y)→(x+h,y+k)

Required

15

△ABC has coordinates of A(0,4), B(-3,4), and C(-3, -1).  What are the new coordinates of △ABC when the figure is moved 3 units left and 1 unit up?
A'_______ 
B'_______ 
C'_______ 

Required

20

Translate △RST 3 spaces down and 5 space to the right. Be sure to have the correct labels of your new prime vertices.
R'-_______ 
S'-_______ 
T'-_______ 

Required

15

△CAT has coordinates of C(6,1), A(6,-2), and T(2, -2).  What are the new coordinates of △C'A'T' when the figure is translated 6 units down and 4 units to the left?

C'-_______ 
A'-_______ 
T'-_______ 

Required

5

5.1 Translations (Due 2/13/24)

Essential Question: What happens when you slide objects on a coordinate plane?

Learning Target: Students will be able to perform translations on objects on a coordinate plane.

Complete the entire assignment and show work for full credit.

Rigid motion like, translations, reflections, and rotations change the size and shape of a figure.

Match the description of a translation to its coordinate form

When performing translation, the image describes the object ____________ a the translation has been performed.

When performing translation, the image describes the object ____________ a the translation has been performed.

You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?

What does the following rule describe? (x, y) → (x-2, y+5)Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.(x,y) →

Which of the following shows the rule in coordinate notation for the translation above?

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

Describe the translation that maps each preimage to its image in coordinatenotation.

Describe the translation that maps each preimage to its image in coordinatenotation. No Spaces

Translation with Vectors Due (2/9/23)

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Day 3 2/13/24

Concept Review

Write the equation in slope intercept form with the given information:

Identify the coordinate (-5,5) and the coordinate that is 5 units to the right and 1 unit up from it.

Identify the coordinate (-3,2) and the coordinate that is 1 unit to the left and 6 units down from it.

Identify the point that is 3 units to the left and 4 units down from the coordinate (3,0).

Identify the point that is 3 units to the left and 3 units up from the coordinate (3,0).

6x-3y=18

5x+2y=14

Directions: Solve each system by substitution. [Write your answer in coordinate form--(x,y)]Be sure to write your solution in coordinate form (x,y)

Solve each system of equations by elimination. [Write your answer in coordinate form--(x,y)]

You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?

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

Finish the rule for a transformation that translates 5 units down and 2 units right.(x,y) →

Are the two figures congruent? Explain your reasoning using complete sentences.

Which of the following shows the rule in coordinate notation for the translation from question 39 above?Remember to use the coordinate notation (x,y)→(x+h,y+k)

In your own words, describe what a translation is. (Use complete sentences)

Essential Question: What happens when you slide objects on a coordinate plane?

Learning Target: Students will be able to perform translations on objects on a coordinate plane.

Complete the entire assignment and show work for full credit.

Rigid motion like, translations, reflections, and rotations change the size and shape of a figure.

Match the description of a translation to its coordinate form

When performing translation, the image describes the object ____________ a the translation has been performed.

When performing translation, the image describes the object ____________ a the translation has been performed.

You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?

What does the following rule describe? (x, y) → (x-2, y+5)Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.(x,y) →

Which of the following shows the rule in coordinate notation for the translation above?

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

Describe the translation that maps each preimage to its image in coordinatenotation.

Describe the translation that maps each preimage to its image in coordinatenotation. No Spaces

Translation with Vectors Due (2/9/23)

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Day 3 2/13/24

Concept Review

Write the equation in slope intercept form with the given information:

Identify the coordinate (-5,5) and the coordinate that is 5 units to the right and 1 unit up from it.

Identify the coordinate (-3,2) and the coordinate that is 1 unit to the left and 6 units down from it.

Identify the point that is 3 units to the left and 4 units down from the coordinate (3,0).

Identify the point that is 3 units to the left and 3 units up from the coordinate (3,0).

6x-3y=18

5x+2y=14

Directions: Solve each system by substitution. [Write your answer in coordinate form--(x,y)]Be sure to write your solution in coordinate form (x,y)

Solve each system of equations by elimination. [Write your answer in coordinate form--(x,y)]

You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?

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

Finish the rule for a transformation that translates 5 units down and 2 units right.(x,y) →

Are the two figures congruent? Explain your reasoning using complete sentences.

Which of the following shows the rule in coordinate notation for the translation from question 39 above?Remember to use the coordinate notation (x,y)→(x+h,y+k)

In your own words, describe what a translation is. (Use complete sentences)

You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?

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

Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

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

(x,y) →

Describe the translation that maps each preimage to its image in coordinate
notation.

Describe the translation that maps each preimage to its image in coordinate
notation. No Spaces

Directions: Solve each system by substitution. [Write your answer in coordinate form--(x,y)]

Be sure to write your solution in coordinate form (x,y)

You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?

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

Finish the rule for a transformation that translates 5 units down and 2 units right.

(x,y) →

Which of the following shows the rule in coordinate notation for the translation from question 39 above?

Remember to use the coordinate notation (x,y)→(x+h,y+k)

You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?

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

Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

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

(x,y) →

Describe the translation that maps each preimage to its image in coordinate
notation.

Describe the translation that maps each preimage to its image in coordinate
notation. No Spaces

Directions: Solve each system by substitution. [Write your answer in coordinate form--(x,y)]

Be sure to write your solution in coordinate form (x,y)

You need to move a figure to the right 3 units and down 4 units.
What is the coordiante notation for this rule?

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

Finish the rule for a transformation that translates 5 units down and 2 units right.

(x,y) →

Which of the following shows the rule in coordinate notation for the translation from question 39 above?

Remember to use the coordinate notation (x,y)→(x+h,y+k)