Question

The vertices of a triangle are P(2, –8), Q(1, –4), and R(4, –1). Name the vertices of P'Q'R' after a reflection over the x-axis.

Answer 1

The coordinates of P'Q'R' are: P' (2,8), Q' (1,4) ,R'(4,1)

Explanation:

We are given:

The vertices of a triangle are P(2, –8), Q(1, –4), and R(4, –1).

We need to:

Name the vertices of P'Q'R' after a reflection over the x-axis.

Reflection over the x-axis

The rule used for reflection over x-axis

P(x,y)= P'(x,-y)

The coordinates of x-axis remains same, while coordinates of y-axis become negative.

Now, finding coordinates of P'Q'R'

P (2,-8) -> P' (2,8)

Q(1,-4) -> Q' (1,4)

R(4,-1) -> R'(4,1)

So, the coordinates of P'Q'R' are: P' (2,8), Q' (1,4) ,R'(4,1)