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

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)

Use matrices to determine the vertices of the reflected figure. Then graph the image-example-1
Use matrices to determine the vertices of the reflected figure. Then graph the image-example-1
Use matrices to determine the vertices of the reflected figure. Then graph the image-example-2

2 Answers

3 votes

The correct answer is graph C, or the third option.

Just got it right on edge 2020, hope this helps!! :)

User Samufi
by
8.4k points
4 votes

Answer:

  • see below for the matrix multiplication
  • graph C

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.

Use matrices to determine the vertices of the reflected figure. Then graph the image-example-1
Use matrices to determine the vertices of the reflected figure. Then graph the image-example-2
User Daveywc
by
7.9k points

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