Question

question 17 1 pts
triangle abc is an image of the other triangle. what kind of transformation is shown?
image of a coordinate grid with triangles abc and abc
options: reflection, dilation, translation, rotation
question 18 1 pts
in the diagram, △abc is the image of △abc. which type of transformation is shown?
image of a coordinate grid with triangles abc and abc

Explanation:

Question 17

To determine the transformation:

• Reflection: A flip over a line (mirror image). Here, the triangles appear as mirror images across the vertical line between \( C \) and \( C' \), \( B \) and \( B' \), etc.
• Dilation: Resizing (scaling), which is not seen here (sizes are equal).
• Translation: Sliding (same orientation, no flip/resize/rotate), but here the orientation flips (e.g., the triangle’s “point” direction reverses).
• Rotation: Turning around a point, which is not the case here (no rotational change in orientation relative to a center).

So the transformation is reflection.

(Assumed):
If \( \triangle A'B'C' \) is a mirror image of \( \triangle ABC \) (e.g., over the \( y \)-axis), the transformation is reflection. Dilation (resizing), translation (sliding), or rotation (turning) do not apply if the image is a mirror flip.

Answer:

A. reflection

Question 18 (Incomplete Diagram Note)

Since the diagram for Question 18 is partially visible, we assume a similar transformation analysis. If the diagram shows a mirror image (e.g., over the \( y \)-axis, as hinted by \( C \) and \( C' \) symmetric to the \( y \)-axis), the transformation would also likely be reflection. However, without the full diagram, we base on typical symmetry.