Unit 6--Transformations Name ______

Homework Packet Date Block_

Intro: Coordinate Plane

Write the ordered pair for each point.

1. A

2. B

3. C

4. D

5. E

6. F

Name the quadrant in which the point is located.

7. (5, 2)

8. (-3, -1)

9. (-2, 3)

10. (6, 0) Label the quadrants,

11. (0, -2) axes and origin!

12. (4, -3)

Graph each point on the coordinate plane.

13. A(5, -2 )

14. B(3, 5)

15. C(-3, 0)

16. D(-3, 4)

17. E(-3, -3)

18. F(-5, 1)

19. G(2, -1)

20. H(0, 4)

21. Complete the table and graph for all six points with the given information:

Point / Coordinate / Quadrant/ Location
A
B
E
K / (-3, 5)
M / (0,-3)
G / Origin

I. Translations

#1. ∆ CAT has vertices C (-5, 0), A (-5, 4), and T (-2, 4). Graph ∆ CAT and its translation (2, 1). Then write the new vertices for the new image.

Figure ∆ CAT / Image ∆ C’A’T’

#2 Rectangle ABCD has vertices A (1, 1), B (1, 5), C (5,5)and D(5, 1). Graph the rectangle and its translation (2, 1). Then write the new vertices for both.

Figure ABCD / Image A’B’C’D’

#3 Rectangle MATH has vertices M (-6, 2), A (-6, -3), T (-4,2)and H(-4, -3). Graph the rectangle and its translation (4, -2). Then write the new vertices for both.

Figure MATH / Image M’A’T’H’

II. Reflect.

#1 ∆DOG has vertices D (0, 3), O (3, 0), G (4, 2). Graph ∆DOG and its reflection over the y axis and over the x axis. Then write the new vertices of the two new images.

Vertices of Image reflected over y-axis

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Vertices of Image reflected over x-axis

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#2 ∆EFG has vertices E (1, 1), F (4, 1), G (1, 3). Graph ∆EFG and its reflection over the y axis and over the x axis. Then write the new vertices of the two new images.

Vertices of Image reflected over y-axis

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Vertices of Image reflected over x-axis

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III. Rotate

1)  Rotate 90⁰ clockwise.

∆ CAT has vertices C (-5, 0), A (-4, 4), and T (-2, 1). Graph ∆ CAT and its rotation 90 ⁰ clockwise. Then write the new vertices for the new image.

Vertices / Math Work / Rotated
C
A
T

2)  Rotate 90⁰ Counterclockwise.

Vertices / Math Work / Rotated
B
A
R
T

Quadrilateral BART has vertices B (-4, 2), A (-3, 3), R (-3, -1), T (-2, 0). Graph the quadrilateral and its rotated image. Then write the new vertices of the two new images.

3)  Rotate 180⁰

Quadrilateral FACE has vertices of F (-4, 4), A (-2, 4),

Vertices / Math Work / Rotated
F
A
C
E

C (-1, 3), and E (-3, 1). Graph the quadrilateral and its rotated image.

IV. Dilate.

1. Graph figure MATH with vertices M (-4, 4), A (2, 1), T (4, -4), and H (-2, -4).

2. Make a dilation of a scale factor of and list the new vertices.

3. Make a dilation of the original MATH with a scale factor of 3 and list the new vertices.

Scale factor of ½ Scale factor of 3

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Dilate the object by 2.