Need in math . all is appreciated .

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.