Quadrants
X and Y are positive in this quadrant.
Quadrant One
What is the distance between (0, -1) and (6, -1)?
6 units
Reflect (0, 1) over the x-axis. What are the coordinates?
(0, -1)
Draw a coordinate plane and label (-2, -1).
2 units to the left and 1 unit down.
X is negative and Y is positive in this quadrant.
Quadrant Two
What is the distance between (-9, 0) and (-9, -16)?
16 units
How does the x-coordinate change if you reflect a point over the y-axis?
You get the OPPOSITE of that x-coordinate. The y-coordinate stays the same.
Draw a coordinate plane and label (-12, 5).
Go to the left by 12 and go up by 5.
Y is going in the negative direction and X is going positive. Which quadrant is it?
Quadrant Four
If you start at (2, 3) and walked to (2, -3) on a coordinate grid, how far did you walk?
6 units
Reflect (-3, -4) across the y-axis.
(3, -4)
Draw a coordinate plane and label (5, 6) and its reflection over the x-axis.
Point 1: Five to the right and six up.
Point 2: Five to the right and six down. (5, -6)
There are two quadrants where X and Y have the same sign. Which quadrants are they?
Quadrant One and Quadrant Three
On a coordinate grid, you were standing at (-10, 10). You threw a ball at (-10, 8). How far did you throw the ball?
2 units
Reflect (-15, 15) across the x-axis.
(-15, -15)
Draw a coordinate plane and label (-2, -1) and its reflection over the y-axis.
Point 1: Two to the left and one down.
Point 2: Two to the right and one down.
If you go West and South from the origin, which quadrant will it be?
Quadrant Three
If you have two points in the same quadrant with the same y-coordinate. What do you do to find the distance?
Subtract the absolute value of the x-coordinates.
Write the steps of reflecting a point across the y-axis.
You keep the y-coordinate and make the x-coordinate the opposite. Both points should be equal distance away from the axis you are reflecting over.
If you started out at (2, 6) and went to the left by 2 and down by 8, where will you end up?
(0,-2)