Question

Point P is located at (–3, –2). P is reflected across the x-axis to create P'. What quadrant is P' in?

A. I
B. II
C. III
D. IV

Answer 1

Option (b) is correct.

P' lies in II quadrant .

Explanation:

Given: Point P is located at (–3, –2). P is reflected across the x-axis to create P'.

We have to find in which quadrant P' lies.

Consider the given point P with coordinate (-3 , -2)

Since, P has both coordinate negative so, P lies in third quadrant.

Also, given P is reflected across the x - axis to create point P'

So, when we reflect P across x - axis , we are reflecting y coordinate of P in opposite direction.

So negative y becomes positive and x remain same.

So, Now the coordinate of P' is (-3,2) .

Thus, P' lies in II quadrant .

Answer 2

Answer: B. II

Explanation:

Given: Point P is located at (-3, -2), that means point P lies in Third Quadrant.

The rule of reflection across the x axis is given by :-

`(x,y)\rightarrow(x,-y)`, only sign of y coordinate changes but the x coordinate remains same.

By applying the rule to the given point we have

`P(-3, -2)\rightarrow P'(-3,2)`

Since (-3,2) lies in second quadrant, therefore P' lies in second quadrant.