Question

for each pair of figures below, choose how they are related.
options for each pair:
translation
reflection
rotation
none of these

Explanation:

First Pair (Leftmost)

Step1: Analyze transformation types

Translation: same orientation, slide. Reflection: mirror image. Rotation: turned around a point. The two figures have different orientations, like a turn. So check rotation.

Step2: Confirm rotation

The lower figure looks like the upper one rotated (e.g., 90 or 180 degrees? Visually, rotation fits better than translation/reflection.

Step1: Check transformation

Translation: slide, same shape/orientation. Reflection: mirror. Rotation: turn. The lower figure is a mirror (reflection) of the upper? Wait, no—wait, the upper is an L with arrow right, lower is a reversed L (like reflection over vertical axis) with arrow right? Wait, no, maybe reflection. Wait, no—wait, the upper is a "corner" right, lower is a "corner" right but reversed? Wait, no, maybe reflection. Wait, actually, the lower figure is a reflection (mirror image) of the upper? Wait, no, let's see: upper is like a square corner with arrow right, lower is like a square corner flipped (reflection) to have the "corner" on the other side but arrow same? Wait, maybe reflection. Wait, no—wait, the upper is a right angle with arrow right, lower is a right angle with arrow right but the "arm" is vertical vs horizontal? Wait, no, maybe rotation? Wait, no, upper is L-shape (vertical then horizontal right), lower is L-shape (horizontal then vertical right? No, lower is like a rotated version? Wait, no, upper: vertical line, then horizontal right (arrow). Lower: horizontal line, then vertical right (arrow)? Wait, no, maybe reflection. Wait, maybe reflection. Wait, no—wait, the correct answer here: let's see, the upper is a "left L" with arrow right, lower is a "right L" with arrow right—so reflection over vertical axis. So reflection.

Step2: Confirm

Reflection: mirror image. So the two figures are reflections (mirror images) of each other.

Step1: Analyze

Translation: slide, same orientation. The two figures are identical in shape/orientation, just moved (slid) vertically. So translation.

Step2: Confirm

No reflection (same orientation), no rotation (same direction). So translation.

Answer:

Rotation

Second Pair