Worksheet 6.1 - Ordered Pairs Name
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
_____________________________________
_____________________________________
_____________________________________
Vertices of Image reflected over x-axis
_____________________________________
_____________________________________
_____________________________________
#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
_____________________________________
_____________________________________
_____________________________________
Vertices of Image reflected over x-axis
_____________________________________
_____________________________________
_____________________________________
[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.
-----------------------
A
F
B
D
E
C
How was the object reflected?
................
................
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