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Laabri

5.1 Translations (Due 2/13/24)

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Last updated 3 months ago
44 Nsɛmmisa
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Translation with Vectors Due (2/9/23)

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Day 3 2/13/24

Concept Review

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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.

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1.
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2.
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3.

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

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4.

Match the description of a translation to its coordinate form

Draggable itemarrow_right_altCorresponding Item

to the right 1 units and up 1 units

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(x+2,y+3)

to the right 1 units and down 7 units

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(x-5,y+6)

to the right 2 units and up 3 units

arrow_right_alt

(x+1,y-7)

to the down 3 units and down 3 units

arrow_right_alt

(x+3,y-3)

to the left 5 units and up 6 units

arrow_right_alt

(x-3,y-3)

to the left 2 units and up 8 units

arrow_right_alt

(x+3,y+3)

to the right 3 units and down 3 units

arrow_right_alt

(x-2,y+8)

to the right 3 units and up 3 units

arrow_right_alt

(x+1,y+1)

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5.

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

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6.

You need to move a figure to the right 3 units and down 4 units.

What is the coordiante notation for this rule?

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7.

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

Use your own words to describe the rule.

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8.

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

(x,y) →

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9.

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

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10.

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

(x,y) →

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11.

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

notation.

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12.

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

notation. No Spaces

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13.
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14.
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15.
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16.

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

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17.

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

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18.

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

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19.

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

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20.

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

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21.
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22.
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23.

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24.

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25.
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26.

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

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27.

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

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28.

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

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29.

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

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30.

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

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31.
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32.
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33.

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)

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34.

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

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35.
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36.

You need to move a figure to the right 3 units and down 4 units.

What is the coordiante notation for this rule?

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37.

What does the following rule describe?

(x, y) → (x-2, y+5)

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38.

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

(x,y) →

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39.

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

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40.

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)

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41.
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42.
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43.
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44.

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