Question

q1 - accelerated mathematics gr 8 | lesson: creating congruent figures using sequences... target due: last friday 0% triangle a has coordinates (-6,2), (-7,4), and (-3,4). what are the new coordinates of triangle b if the triangle has been rotated 90 degrees counterclockwise and then reflected over the x = 0 line? a. (-4,3), (-4,7), and (-2,6) b. (6,-2), (7,-4), and (3,-4) c. (4,-3), (4,-7), and (2,-6) d. (-6,-2), (-7,-4), and (-3,-4) which of the following does not preserve the size of a figure? a. dilation b. rotation

Explanation:

Step1: Apply 90 - degree counter - clockwise rotation formula

The formula for a 90 - degree counter - clockwise rotation of a point $(x,y)$ is $(-y,x)$.
For point $(-6,2)$: $(-2,-6)$; for $(-7,4)$: $(-4,-7)$; for $(-3,4)$: $(-4,-3)$.

Step2: Apply reflection over the $x = 0$ (y - axis) formula

The formula for reflecting a point $(x,y)$ over the $y$-axis is $(-x,y)$.
For $(-2,-6)$: $(2,-6)$; for $(-4,-7)$: $(4,-7)$; for $(-4,-3)$: $(4,-3)$.

For the second question:
Rotation is a rigid transformation that preserves the size and shape of a figure. Dilation changes the size of a figure by a scale factor.

Answer:

First question: C. (4,-3), (4,-7), and (2,-6)
Second question: A. Dilation