Answer:
1. figure b' is similar but not congruent to figure b
2. m<k'=-m<k
3. reflect across the x-axis, rotate 90 degrees counterclockwise about the origin, and then dilate by a scale factor of 4 centered at the origin
4. on reflection, parallel lines are taken to parallel lines, so a'b' will be parallel to c'd'.
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Step-by-step explanation:
1. it is similar because it has the same number of sides, shape, etc. it is not congruent because the two figures are not the same size
2. because it is rotated and reflected instead of dilated, it will be equal to the original image. but, the original will be negative because it is on the negative half of the plane.
3. the second image becomes positive, so we know it reflects over the x-axis. we can also see that the '-1' turns into a '4', which means that it was dilated by a factor of 4.
4. basically, when you reflect the image, it it just a few points below the original one. because of this, lines a'b' and c'd' will never touch, as they are parallel
