Worksheet 6.1 - Ordered Pairs Name - LCPS



Unit 6--Transformations Name ______

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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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[pic]

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 [pic] and list the new vertices.

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

[pic]

Scale factor of ½ Scale factor of 3

_________________________ ___________________________

_________________________ ___________________________

_________________________ ___________________________

_________________________ ___________________________

Dilate the object by 2.

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A

F

B

D

E

C

How was the object reflected?

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