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faltersainse [42]
3 years ago
7

Use matrices to determine the vertices of the reflected figure. Then graph the image and the pre-image on the same coordinate gr

id.
Triangle XYZ with vertices X(2, -9), Y(-6, 0) and Z(-5, -5), reflected over the y-axis.
A.
B.
C.
D.
(pictures below)

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

  • see below for the matrix multiplication
  • graph C

Step-by-step explanation:

Reflection across the y-axis is a left-right reflection that changes only the sign of the x-coordinate. The transformation matrix (as for any rotation and/or reflection) can be 2-dimensional, and can left-multiply the coordinate matrix that has coordinate pairs as column vectors. The transformed coordinates show up as column vectors in the result matrix.

The only graphs showing left-right reflections are those of choices C and D. Only choice C has the points properly plotted on the graph.

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