Question

question 15
1 pts
in the diagram, △a′b′c′ is the image of △abc. which type of transformation is shown?
image of coordinate plane with triangles abc and abc
options: rotation, reflection, slide, dilation
question 16
1 pts
triangle abc is an image of the other triangle. what kind of transformation is shown?
image of coordinate grid with triangles

Explanation:

Question 15

To determine the transformation, we analyze the position of \( \triangle A'B'C' \) relative to \( \triangle ABC \). A "slide" (translation) moves a figure without rotating or reflecting it, just shifting its position. Here, \( \triangle A'B'C' \) appears to be shifted vertically and horizontally from \( \triangle ABC \), matching translation. Rotation would involve turning, reflection flipping over an axis, and dilation resizing, none of which apply here.

If \( A'B'C' \) is a mirror image of the original triangle over a vertical line (from the partial grid), it's a reflection. Reflection flips the figure over an axis, creating a mirror image.

Answer:

C. slide (assuming options are labeled as such, with the third option being "slide")

Question 16 (Note: The diagram for Question 16 is partially visible, but assuming a typical transformation question, if it's a reflection, rotation, translation, or dilation, we'd analyze. However, since the diagram is cut off, we can't fully determine. But if we assume a common case, e.g., if \( A'B'C' \) is a reflection over a vertical line, the answer would be reflection. But without full diagram, we can't be precise. If we assume the visible part shows a reflection, for example: