Question

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and across the x-axis to obtain point C. What are the coordinates of points B and C?

Answer 1

B(2 ,-3) and C( -2, 3)

Explanation:

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Answer 2

`B(2,-3)`

`C(-2,3)`

EXPLANATION

The given point has coordinates A(-2,-3).

The rule for the reflection across the y-axis is

`(x,y)\to(-x,y)`

We apply this rule to obtain the coordinates of B.

`A(-2,-3)\to B(--2,-3)`

Simplify the coordinates of B to get:

`A(-2,-3)\to B(2,-3)`

The rule for reflection across the x-axis is

`(x,y)\to (x,-y)`

When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:

`A(-2,-3)\to C(-2,--3)`

`A(-2,-3)\to C(-2,3)`