Question

The vertices of a triangle are P[4.1). Q(2.-8), and R(-8.1). What are the vertices of the image reflected across the y-axis?

O A P14.-1), Q12,8), and RX-8.-1)
B. PY-4. 1). Q1-2.-8), and R(8.1)
OC. P(-4,-1). QT-2,8), and R18.-1)
OD. P14.1). Q12.-8), and R1-8.1)

Answer 1

P'(–4, 1), Q'(–2, –8), and R'(8, 1)

Explanation:

Answer 2

Given:

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

To find:

The vertices of the image reflected across the y-axis.

Solution:

The vertices of a triangle are P(4,1), Q(2,-8), and R(-8,1). It is reflected across the y-axis.

If a figure is reflected across the y-axis, then

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

Using this rule, we get

`P(4,1)\to P_1(-4,1)`

`Q(2,-8)\to Q_1(-2,-8)`

`R(-8,1)\to R_1(8,1)`

So, the vertices of the image are
`P_1(-4,1), Q_1(-2,-8), R_1(8,1)`.

Therefore, the correct option is B.

Note: Options are not in proper form.