Question

for each pair of figures below, choose how they are related.
(images of figure pairs with options: translation, reflection, rotation, none of these for each pair)

Explanation:

Step1: Analyze First Pair

The first pair has a small triangle and a larger triangle. Translation, reflection, or rotation don't change size, so "None of these".

Step2: Analyze Second Pair

The two "L" - shaped figures: one is translated (moved without rotation/reflection) to match? Wait, no, the second pair's figures: check orientation. Wait, the second pair: the top figure and bottom figure. Wait, no, the second pair (second row): the two "L" - shaped figures. Wait, actually, the second pair: the figures are related by translation? No, wait, the second pair: the top figure and bottom figure. Wait, no, let's re - check.

Wait, first pair (top row): triangle sizes differ, so "None of these".

Second pair (second row): the two "L" - shaped figures. Let's see, translation: moving without rotation/reflection. The figures seem to be translated? Wait, no, maybe reflection? Wait, no, the second pair: the correct transformation. Wait, the second pair: the two "L" - shaped figures. Let's check the options. Wait, maybe I made a mistake. Let's go step by step.

First pair (row 1): triangle 1 (small) and triangle 2 (large). Since translation, reflection, rotation preserve size, so "None of these".

Second pair (row 2): two "L" - shaped figures. Let's check the orientation. The figures are the same shape and orientation, just moved? So translation? Wait, no, maybe the second pair is translation? Wait, no, the second pair: the top figure and bottom figure. Wait, the second pair's figures: the top is blue, bottom is gray. They look like translated. So for the second pair, "Translation".

Third pair (row 3): the two arrow - like figures. One is rotated (the direction is reversed in a rotational way). So "Rotation".

Fourth pair (row 4): the two triangle - like figures with a notch. They are translated (moved down) without rotation or reflection. So "Translation".

But since the problem is to choose for each pair, but the user might want the answers for each. Wait, the problem says "For each pair of figures below, choose how they are related."

Let's re - examine each pair:

1. First pair (top row):

• The two triangles have different sizes. Translation, reflection, and rotation do not change the size of a figure. So the answer is "None of these".

1. Second pair (second row):

• The two "L" - shaped figures: they appear to be translated (moved) without any rotation or reflection. So the answer is "Translation".

1. Third pair (third row):

• The two arrow - like figures: one is rotated (the direction of the arrow is changed in a rotational manner) to get the other. So the answer is "Rotation".

1. Fourth pair (fourth row):

• The two triangle - like figures with a notch: they are translated (moved down) without rotation or reflection. So the answer is "Translation".

Answer:

1. First pair: None of these
2. Second pair: Translation
3. Third pair: Rotation
4. Fourth pair: Translation