Question

Name the transformation that maps A PQR to A P'Q'R'

У
6
P
R
6
o
R
P
--6
Reflection over the x axis
Reflection over the yaxis
180° Rotation
Translation down 4 units

Answer 1

Option (1)

Explanation:

Coordinates of the vertices of ΔPQR,

P → (2, 5)

Q → (6, 2)

R → (2, 2)

Now vertices of the transformed triangle,

P' → (2, -5)

Q' → (6, -2)

R' → (2, -2)

If we compare P and P' relation between their coordinates is,

P(2, 5) → P'(2, -5)

(x, y) → (x, -y)

Which reveals that triangle PQR has been reflected across x-axis to form the image triangle P'Q'R'.

Option (1) is the answer.