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Otrada [13]
3 years ago
8

The vertices of ∆PQR are P(–3, 8), Q(–6, –4), and R(1, 1). If you reflect ∆PQR across the x-axis, what will be the coordinates o

f the vertices of the image ∆P′Q′R′?

Mathematics
1 answer:
rodikova [14]3 years ago
6 0

Answer:

P'(–3, -8), Q'(–6, 4),  R'(1, -1).  

Step-by-step explanation:

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

The rule is

(x,y) ⟶ (x,-y)

Thus,

P(-3,8) ⟶ P'(-3, -8)

Q(-6,-4) ⟶ Q'(-6, 4)

R(1,1) ⟶ R'(1, -1)

The coordinates of  the image triangle are:

P'(–3, -8), Q'(–6, 4),  R'(1, -1)

The diagram below shows your source and image triangles. The red and blue arrows show how the points moved during the reflection.

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