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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Answer:
sqrt(146)
Step-by-step explanation:
The distance between these two points can be the hypotenuse of our right triangle.
We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem
sqrt(5^2+11^2)=sqrt(146)
I attached a graph to help you visualize the triangle and how it works.
