Question

NEED HELP IN MATH . ALL HELP IS APPRECIATED .

Answer 1

Given:
A is completely in the first quadrant
transformations, in sequence
- dilation about origin with scale factor 0.5
- reflection about x-axis
- translation left 3 units, 8 units down.

Given statements:
- A' is larger than A : False because a scale factor of 0.5 reduces the size of the image
- A' has the same shape, but not the same size. Correct, because a dilation with a scale factor less than one reduces size of image, AND a dilated image preserves the shape of the preimage.
- A' is located above the x-axis : False, because A is in the first quadrant (above the x-axis). After the reflection about x-axis, A' is below the x-axis. The translation left 3 moves it laterally, not up down. The last translation down 8 moves it further down, so A' is NOT above the x-axis.
- A' and Figure A are both oriented the same on the coordinate plane.
False because a reflection does not preserve orientation (in general) except for lines parallel to the reflection axis. On the other hand, both dilation and translation preserve orientations.

Answer 2

The answer would be the bottom left, I believe. The object is scaled by 0.5, so its smaller than the original object, not bigger. The object is reflected on the x axis, which means because the original object is above it, the new object will be below. And because of the reflection, the top becomes the bottom and bottom becomes the top because of how it is reflected, so its no longer the same orientation.