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Biblioteka

5.1 Translations (Due 1/15/2025)

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Posljednje ažuriranje about 1 month ago
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Day 2 4/7/26

Translation with Vectors

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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 document and use full sentences when prompted for full credit.

Responses without work will receive no points.

Remember to upload work from paper when prompted to receive credit

Pitanje 1
1.

What are the three types of rigid motion?

"Spin"

"Slide"

"Flip"

Pitanje 2
2.

What is another word for translation besides "slide"?

Pitanje 3
3.

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

Pitanje 4
4.

Match the description of a translation to its coordinate form

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

to the right 1 units and down 7 units

arrow_right_alt

(x+2,y+3)

to the right 2 units and up 3 units

arrow_right_alt

(x-5,y+6)

to the left 3 units and down 3 units

arrow_right_alt

(x+1,y-7)

to the left 5 units and up 6 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 left 2 units and up 8 units

arrow_right_alt

(x+3,y+3)

to the right 1 units and up 1 units

arrow_right_alt

(x-2,y+8)

to the right 3 units and down 3 units

arrow_right_alt

(x+1,y+1)

Pitanje 5
5.

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

Pitanje 6
6.

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

What is the coordiante notation for this rule?

Pitanje 7
7.

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

Use your own words to describe the rule.

Pitanje 8
8.

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

(x,y) →

Pitanje 9
9.

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

Pitanje 10
10.

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

(x,y) →

Pitanje 11
11.

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

notation.

Pitanje 12
12.

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

notation. No Spaces

Pitanje 13
13.

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.

Pitanje 14
14.

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.

Pitanje 15
15.

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

Pitanje 16
16.

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

Pitanje 17
17.

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

Pitanje 18
18.

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

Pitanje 19
19.

Perform the following translation:

(x,y)---->(x+3,y+2)

on the point (-1,5) and place both points on the graph.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
Pitanje 20
20.

Perform the following translation:

(x,y)---->(x-4,y+3)

on the point (-2,-1) and place both points on the graph.

  • Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
  • Kliknite na pozadinu grafikona da biste dodali tačku. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
Pitanje 21
21.

Describe the translation that maps each preimage to its image as a vector in component form: <a,b> No Spaces

Pitanje 22
22.

Describe the translation that maps each preimage to its image as a vector in component form: <a,b> No Spaces

Pitanje 23
23.

Describe the translation that maps each preimage to its image as a vector in component form: <a,b> No Spaces

Pitanje 24
24.

Describe the translation that maps each preimage to its image as a vector in component form: <a,b> No Spaces

Pitanje 25
25.

Describe the translation that maps each preimage to its image as a vector in component form: <a,b> No Spaces

Pitanje 26
26.

Pitanje 27
27.

Pitanje 28
28.

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

What is the coordiante notation for this rule?

Pitanje 29
29.

What does the following rule describe?

(x, y) → (x-2, y+5)

Pitanje 30
30.

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

(x,y) →

Pitanje 31
31.

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

Pitanje 32
32.

Describe the rule in coordinate notation of the translation from question 31 above?

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

Pitanje 33
33.

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

A'

B'

C'

Pitanje 34
34.

Translate △RST 3 spaces down and 5 space to the right. Graph the new image. Be sure to have the correct labels of your new prime vertices.

What are the new coordinates on after you have performed the above translation?

R'-

S'-

T'-

Pitanje 35
35.

△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'-

Pitanje 36
36.

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

Pitanje 37
37.

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.

What are the new coordinates on after you have performed the above translation?

L'

M'

N'

P'

Protip: Transform the points first then graph them.

Pitanje 38
38.

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.

What are the new coordinates on after you have performed the above translation?

F'

G'

H'

I'

Protip: Transform the points first then graph them.

Pitanje 39
39.

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.

Learning Log

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Pitanje 40
40.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

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Pitanje 41
41.

Learning Outcomes

Does a translation ever change the orientation of a figure (the way it is facing)?

(Use complete sentences for full credit)

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Pitanje 42
42.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?