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)
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)
1 answer:
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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Step-by-step explanation:
Answer: 208.
Step-by-step explanation:
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(1)
, where z* = critical z-value (two tailed).
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Margin of error : E= 0.29
Confidence level = 85%
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[ Round to the next integer]
Hence, the minimum number of third graders that must be included in a sample = 208.