Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
5. The Coordinate Plane
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Exercise 47 Page 375

Practice makes perfect

We want to reflect a point in the x-axis of a coordinate plane. To do this, we keep the same x-coordinate and take the opposite of the y-coordinate.

Point Reflection in the x-axis
(x, y) (x, - y)
(-5, -6) (-5, 6)
As we can see, the reflection of the point is at (-5,6). Let’s plot our point and its reflection on the coordinate plane.
reflect point
We can see that the point is located at (-5,6) after the reflection in the x- axis of a coordinate plane.

Extra

More About Coordinate Planes
A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants. An ordered pair is used to locate a point in a coordinate plane. The first coordinate represents the x-axis and the second coordinate the y-axis.
coordinate plane

We want to reflect a point in the y-axis of a coordinate plane. To do this, we keep the same y-coordinate and take the opposite of the x-coordinate.

Point Reflection in the y-axis
( x,y) ( - x,y)
( -5,-6) ( 5,-6)
As we can see, the reflection of the point is at (5,-6). Let’s plot our point and its reflection on the coordinate plane.
reflect point
We can see that the point is located at (5,-6) after the reflection in the y- axis of a coordinate plane.

Extra

More About Coordinate Planes
A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants. An ordered pair is used to locate a point in a coordinate plane. The first coordinate represents the x-axis and the second coordinate the y-axis.
coordinate plane