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 and the preimage on the same coordinate grid Triangle XYZ with vertices X2 9 class=
Use matrices to determine the vertices of the reflected figure Then graph the image and the preimage on the same coordinate grid Triangle XYZ with vertices X2 9 class=

Respuesta :

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.

Ver imagen sqdancefan
Ver imagen sqdancefan

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

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

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