1. Coordinate Planes and Transformations

2. Points on the Coordinate Plane The coordinate plane is made up of two number lines that intersect at right angles. The horizontal line is called the x-axis and the vertical line is called the y-axis. The point of intersection usually labeled, O, is the origin.

3. Which point is located at (-3,0) 1.C 2.G 3.E 4.H

4. The x-axis and y-axis divide the coordinate plane into four parts called quadrants. Moving counterclockwise around the origin, the quadrants are named…

5. Point S is in which quadrant? 1.1 2.2 3.3 4.4

6. Transformations A transformation is an operation on a figure that produces another figure. Thought of as motions that take a figure from one place to another. Reflection ________-the flipping of a figure over a line so that its image is the mirror image of the original; “a flip.” Rotation- ______- a movement of a figure around a fixed pint, or axis, “a turn.” Translation-________- a movement of a figure along a straight line; “a slide. Contraction- a __________ of the original figure. Dilation- a “___________” of the original figure. Flip Turn Slide Shrinking Stretching

7. Name the transformation. 1.Dilation 2.Contraction 3.Translation 4.Reflection

8. Graph a translation of two units to the right and three units up. Then give the ordered pairs for the vertices of the new triangle. a bc a bc (4,8) (8,4) (4,4)

9. Graph a translation of six units to the left and five units down. Then give the ordered pairs for the vertices of the new triangle. a bc a bc (-4,0) (0,-4) (-4,-4)

10. Figure MNOP is shown on the grid. Which grid shows the result of translating the figure two unit s to the right and one unit up? 1.A 2.B 3.C 4.D

11. Reflections Points A and B are symmetrical about the y-axis. Point A is said to be the refection of point B across the _______. Points B and C are reflections of each other across the ______. Points C and D are reflections of each other across the ______. y-axis x-axis y-axis

12. Reflect the triangle over the x-axis and give the ordered pairs for the vertices of the new triangle. a bc a bc (2, -5) (2, -1 ) (6, -1)

13. Reflect the flag over the y-axis and give the ordered pairs for the vertices of the new triangle and the endpoint of the new flag. a b d a b d (-2,8) (-4,6) (-2,1) c c (-2,3)

14. Figure EFGH is shown on the grid. Which grid shows a reflection of the shaded figure across the y-axis? 1.A 2.B 3.C 4.D

15. Give the ordered pair for Point A after it has been reflected over the x axis. 1.(-2, 6) 2.(-6, 2) 3.(-2, -6) 4.(2, -6)

16. Give the ordered pair for Point D after it has been reflected over the y axis. 1.(4, -9) 2.(-4, - 9) 3.(4, 9) 4.(-9, 4)

17. Dilate the figure using a 1:2 ratio.

18. Triangle PQR is shown. Which graph shows a figure similar to triangle PQR by a ratio of 1 to 3? Triangle PQR is shown. Which graph shows a figure similar to triangle PQR by a ratio of 1 to 3? 1.A 2.B 3.C 4.D A. B. C. D.

19. Kate drew a triangular flag then reflected the flag in the coordinate plane as shown. Kate then reflected the flag over the x-axis. On a sheet of paper, give the coordinates of the three vertices of the triangle and the coordinates of the endpoint of the new flag after it has been reflected over the x-axis. 2 points

20. Give the coordinates of the three vertices of the triangle and the coordinates of the endpoint of the new flag after it has been reflected over the x-axis. 2 points P(2,-2). Give the coordinates of 3 vertices of the new triangle Give the coordinates of the endpoint of the new flag The coordinates of the vertices of the triangle are _______________________And the coordinates of the endpoint of the flag after reflecting over the x –axis is _____ M (0,-4) O (2,-3) N (2, -5). The coordinates of the 3 vertices for the triangle are M (0,-4) O (2,-3) N (2, -5). The coordinates for the new endpoint are (2,-2).