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You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?

Respuesta :

irspow
If you reflect about the y-axis, only the x-coordinates reverse sign while the y-coordinates stay the same....

P'(2,-4), Q'(3,-1), R'(4,-4)
aachen

Answer:

[tex]\text{P'}=(2,-4)[/tex]

[tex]\text{Q'}=(3,-1)[/tex]

[tex]\text{R'}=(4,-4)[/tex]

Step-by-step explanation:

Given: A triangle PQR with verices [tex]\text{P}(-2,-4)[/tex], [tex]\text{Q}(-3,-1)[/tex], and [tex]\text{R}(-4,-4)[/tex]

To find: The coordinates of triangle  P′Q′R′, when the triangle is reflected across the y-axis.

Solution:

We need to find the coordinate of P′Q′R′, when the triangle is reflected across the y-axis.

We know that when a coordinate is reflected along the y-axis, the y-coordinate will remain the same and the x-coordinate gets changed by negative sign.

So, when the triangle PQR with verices [tex]\text{P}(-2,-4)[/tex], [tex]\text{Q}(-3,-1)[/tex], and [tex]\text{R}(-4,-4)[/tex] is reflected along the y-axis, all the x-coordinates gets changed by negative sign

Hence,

[tex]\text{P'}=(2,-4)[/tex]

[tex]\text{Q'}=(3,-1)[/tex]

[tex]\text{R'}=(4,-4)[/tex]

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