Reflect Points over the x and y axis…

1. Reflect Points over the x and y axis… 6.NS.C.6b

2. What happens to the location of the point (3, 2) if the y-coordinate is changed to -2?

3. In this lesson you will learn how to reflect points over the x and y axes by using a coordinate plane.

4. y 5 4 (II) (I) 3 2 (-, +) (+, +) 1 x 3 1 2 4 5 -1 -3 -5 -4 -2 -1 (III) (IV) -2 -3 (-, -) (+, -) -4 -5

5. Copy as Notes…Important!! To reflect points over the x axis – use the opposite of the y coordinate To reflect points over the y axis – use the opposite of the x coordinate To reflect a point to the opposite quadrant – use the opposite of both coordinates

6. Create a 4 column table labeled: Coordinate Reflect over x-axis Reflect over y-axis Reflect to Opposite Quadrant… I will give you a coordinate & give you directions to reflect thecoordinate in a particulardirection. Indicate on your tablethe new coordinate in the appropriate column. Use grid as reference as needed!

7. y 5 Action: Opposite of y 4 3 (3, 2) 2 1 x Result: Point reflected over the x axis 3 1 2 4 5 -1 -3 -5 -4 -2 -1 -2 (3, -2) -3 -4 -5

8. Action: Opposite of x (-3, 2) (3, 2) Result: Point reflected over the y axis

9. Action: Opposite of both x and y (3, 2) Result: Point reflected to opposite quadrant (-3, -2)

10. Action: Opposite of y (-4, 3) Result: Point reflected over the x axis (-4, -3)

11. Action: Opposite of both x and y (-4, 3) Result: Point reflected to opposite quadrant (4, -3)

12. (1, 5) Action: Opposite of both x and y Result: Point reflected to opposite quadrant (-1, -5)

13. Action: Opposite of x Result: Point reflected over the y axis (-3, -3) (3, -3)

14. Action: Opposite of both x and y (-3, 3) Result: Point reflected to opposite quadrant (3, -3)

15. Action: Opposite of y (4, 1) Result: Point reflected over the x axis (4, -1)

16. Action: Opposite of x (4, 1) (-4, 1) Result: Point reflected over the y axis

17. Action: Opposite of both x and y (4, 4) Result: Point reflected to opposite quadrant (-4, -4)

18. In this lesson you have learned how to reflect points over the x and y axes by using a coordinate plane.

19. 1. If the point (-3, 2) changes to (3, 2) in what quadrant would it be located? I 2. If you wanted to reflect the point (-5, -2) over the y axis, what would the new coordinates be? 5, -2

20. Draw a coordinate plane and plot some points. Label the points a, b, c, etc. Give a copy of the same paper to a partner. Taking turns, tell each other to reflect a point over an axis. Check each other’s graphs to see if the points are reflected correctly. It’s helpful to use a different color when plotting the reflected points.

21. Write a set of 4 cards as follows. On one card write a set of positive coordinates. On the next card, using the same numbers, make the x negative. On the the third card, the y negative. On the fourth card make both x and y negative. Make a coordinate plane. Pick a card and put it in the correct quadrant. Now find the card that would be reflecting over the x axis, then the y axis and finally the opposite quadrant. Repeat with a new set of coordinates. Alternative: You and a partner each have a set of 4 coordinates. Race to put them in the correct quadrant first.

22. Mark off a large coordinate plane on the floor with tape or outside with chalk. Have a person stand in any quadrant. Give them instructions such as reflect over the x axis or reflect over the y axis. See if they go to the right spot. Try it with more people in the plane.

23. 1. If the point (1, -4) changes to (-1, 4) in what quadrant would it be located? 2. If you wanted to reflect (-3, 4)over the x axis, what would the new coordinates be?