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Steve
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What conjecture can you make about the location of a point when the sign of the x-coordinate is changed?
It will be at exactly the same distance from the y-axis, but on the other side of it.
How can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
What does it mean to reflect a point across the x or y axis?
Reflecting a point P, in the x axis is finding another point Q such that they both have the same x-coordinate and that the y-coordinate of Q is the additive inverse of the y-coordinate of P. Thus, is P is 4.5 above the x-axis, then Q is 4.5 below it and if P is below, then Q is above by the same distance.Reflection in the y-axis is similar except that now it is the y-coordinate that remains the same and the x-coordinate that changes. If P was to the left then Q is to the right (and conversely).
What do you use first in coordinates y or x?
You use the x-coordinate before the y- coordinate.
When the point (-3 2) is reflected across the x-axis what is the resulting image?
When the point (-3, 2) is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. Thus, the resulting image of the point after the reflection is (-3, -2).
