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Transparency 8. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 8-3b. Objective. Graph translations on a coordinate plane. Example 8-3b. Vocabulary. Translation. A transformation in which a figure is slid horizontally, vertically, or both. - PowerPoint PPT Presentation
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Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
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.
1/2
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
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up.
1/2
E
F
G
The translation is 3 units right and 2 units up
Begin with F and move it 3 units right then 2 units up
Label F’
E’
Note: Do not draw the arrows
F’
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up.
1/2
E
F
G
The translation is 3 units right and 2 units up
Begin with G and move it 3 units right then 2 units up
Label G’
E’
Note: Do not draw the arrows
F’
G’
Copy below on graph paper. Then draw the image of the figure after a translation of 3 units right and 2 units up.
1/2
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
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.
2/2
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
Note: Do not draw the arrows
Label A’A’
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.
2/2
A
B
C
The translation is 2 units left and 5 units down
Begin with B and move it 2 units left then 5 units down
Note: Do not draw the arrows
Label B’A’
B’
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.
2/2
A
B
C
The translation is 2 units left and 5 units down
Begin with C and move it 2 units left then 5 units down
Note: Do not draw the arrows
Label C’A’
B’
C’
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.
2/2
A
B
C
A’
B’
C’
Connect the new lines in order
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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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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