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Objective

Graph translations on a coordinate plane

Vocabulary

Translation

A transformation in which a figure is slid horizontally, vertically, or both

Example 1 Draw a Translation

Example 2 Translation in the Coordinate Plane

Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up.

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E

F

G

Copy EFG

The translation is 3 units right and 2 units up

Begin with E and move it 3 units right then 2 units up

Label E’

E’

Note: Do not draw the arrows


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E

F

G


Begin with F and move it 3 units right then 2 units up

Label F’

E’


F’


1/2

E

F

G


Begin with G and move it 3 units right then 2 units up

Label G’

E’


F’

G’


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E

F

G

Connect the dots in orderE’

F’

G’

Answer:

Copy below on graph paper. Then draw the image of the figure after a translation of 2 units right and 4 units down.

Answer:

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Graph ABC with vertices A(–2, 2), B(3, 4), and C(4, 1). Then graph the image of ABC after a translation of 2 units left and 5 units down. Write the coordinates of its vertices.

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Plot the 3 coordinates

A(-2, 2)

B(3, 4)C(4, 1)

Label A

Label B

Label C

A

B

C

Connect the dots in order that was plotted


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A

B

C

The translation is 2 units left and 5 units down

Begin with A and move it 2 units left then 5 units down


Label A’A’


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A

B

C


Begin with B and move it 2 units left then 5 units down


Label B’A’

B’


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A

B

C


Begin with C and move it 2 units left then 5 units down


Label C’A’

B’

C’


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A

B

C

A’

B’

C’

Connect the new lines in order


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A

B

C

A’

B’

C’

A’(-4, -3)

B’(1, -1)

C’(2, -4)

Answer:

Must have the graph AND the coordinates

Graph PQR with vertices P(–1, 3), Q(2, 4), and R(3, 2). Then graph the image of PQR after a translation of 2 units left and 3 units down. Write the coordinates of its vertices.

Answer: P'(1, 0), Q'(4, 1), and R'(5, –1)

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Assignment

Lesson 6:8 Translations 3 - 11 All

MULTIPLE-CHOICE TEST ITEM Point S is moved to a new location, S'. Which white shape shows where the shaded figure would be if it was translated in the same way?

A A

B B

C C

D D

Point S is translated 3 units right and 1 unit down. Identify the figure that is a translation of the shaded figure 3 units right and 1 unit down.

Figure A:

3 units left and 1 unit up

Figure B:

3 units right and 1 unit down

Figure C & D:

Moved in different directions than S’ so can be eliminated

Answer: B

Figure B: 3 units right and 1 unit down

A A

B B

C C

D D

MULTIPLE-CHOICE TEST ITEM Point W is moved to a new location, W'. Which white shape shows where the shaded figure would be if it was translated in the same way?

A A

B B

C C

D D

Answer: D

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