Question

6. In the diagram below, which transformation could have been applied to A LPR to createALPR?LPRPА A reflection across the xaxisB rotation 180° about the originС.translation of to +6.D. translation of to

Answer 1

The coordinates of the vertices of the original figure ΔLPR are given as:

L(-5 ,-2), P(-1, -2) and R(-1,- 4)

The coordinates of the vertices of the transformed figure ΔL'P'R' are given as:

L'(-5, 4), p'(-1, 4) and R'(-1, 2)

If you observe the coordinates of the vertices of the original figure and the transformed figure, their x-coordinates are the same. The transformation is only along the y-axis, and the transformation is positive because the transformed figure is towards the positive y-coordinate.

In order to find the height/extent of vertical translation, subtract the corresponding y-coordinates of figure ΔLPR from ΔL'P'R'

y-coordinate for vertex L is -2, and for L' it is 4

therefore, 4 - (-2) = +6;

Conversely, for vertex P and P' it is 4 - (-2) = +6.

for vertex R and R' it is 2 - (-4) = +6.

Therefore, there is a translation of +6 along the y-axis. Option [C]