1. Click the mouse button or press the Space Bar to display the answers.
Transparency 8

2. Splash Screen

3. Graph translations of polygons on a coordinate plane
Objective
Graph translations of polygons on a coordinate plane
Example 8-3b

4. A movement of a geometric figure
Vocabulary
Transformation
A movement of a geometric figure
Example 8-3b

5. Vocabulary Translation
One type of transformation where a geometric figure is slid horizontally, vertically, or both
Example 8-3b

6. Example 1 Graph a Translation
Example 2 Find Coordinates of a Translation
Example 3 Naming Translations with Ordered Pairs
Lesson 8 Contents

7. Translate ABC 5 units left and 1 unit up.
Copy ABC
The translation is 5 units left and 1 unit up B
Note: Do not draw the arrows A’ A C
Begin with A and move it 5 units left then 1 unit up
Label A’
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Example 8-1a

8. Translate ABC 5 units left and 1 unit up.
Translate B and move it 5 units left then 1 unit up B’ B
Label B’ A’ C’
Translate C and move it 5 units left then 1 unit up A C
Label C’
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Example 8-1a

9. Translate ABC 5 units left and 1 unit up.
Connect the dots in order B’ B A’ C’ A C
Answer:
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Example 8-1a

10. Translate DEF 3 units left and 2 units down.
Answer:
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Example 8-1b

11. Connect the dots in order that was plotted
Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJ after a translation of 5 units right and 3 units down. Then graph the figure and its translated image.
Plot the 4 coordinates H I
G(-4, 1)
Label G
H(-4, 3)
Label H G J
I(-2, 3)
Label I
J(-1, 1)
Label J
Connect the dots in order that was plotted
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Example 8-2a

12. The translation is 5 units right and 3 units down H I
Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJ after a translation of 5 units right and 3 units down. Then graph the figure and its translated image.
The translation is 5 units right and 3 units down H I
Note: Do not draw the arrows G J
Begin with G and move it 5 units right then 3 units down G’
Label G’
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Example 8-2a

13. Translate H and move it 5 units right then 3 units down H I
Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJ after a translation of 5 units right and 3 units down. Then graph the figure and its translated image.
Translate H and move it 5 units right then 3 units down H I G J
Label H’ H’ I’
Translate I and move it 5 units right then 3 units down G’
Label I’
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Example 8-2a

14. Translate J and move it 5 units right then 3 units down H I
Trapezoid GHIJ has vertices G(–4, 1), H(–4, 3), I(–2, 3), and J(–1, 1). Find the vertices of trapezoid GHIJ after a translation of 5 units right and 3 units down. Then graph the figure and its translated image.
Translate J and move it 5 units right then 3 units down H I G J
Label J’ H’ I’
Connect the new lines in order G’ J’
Answer:
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Example 8-2a

15. Triangle MNO has vertices M(–5, –3), N(–7, 0), and O(–2, 3)
Triangle MNO has vertices M(–5, –3), N(–7, 0), and O(–2, 3). Find the vertices of triangle MNO after a translation of 6 units right and 3 units up. Then graph the figure and its translated image.
Answer:
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Example 8-2b

16. CLASSROOMS The squares below represent desks in a classroom
CLASSROOMS The squares below represent desks in a classroom. Ana is seated at the square marked X. She is moved to the seat marked Y. Describe this translation as an ordered pair.
Right 2 is +2
Up 2 is a +2
Answer:
Y (2, 2)
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Example 8-3a

17. *
CONVENTION The squares below represent booths at a convention center. The Sail Maker Company was located at the booth marked X last year. This year they have been moved to the booth marked Y. Describe this translation as an ordered pair.
Answer: Y (–3, –3)
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Example 8-3b

18. Assignment
Lesson 10:8
Translations
All
End of Lesson 8