Question

for each pair of figures below, choose how they are related.

(first figure pair: two arrow - like figures)

• translation
• reflection
• rotation
• none of these

(second figure pair: two l - like figures, one larger above, one smaller below)

• translation
• reflection
• rotation
• none of these

(third figure pair: two arrow - like figures with direction change)

• translation
• reflection
• rotation
• none of these

(fourth figure pair: two mountain - like figures, one above left, one below right)

• translation
• reflection
• rotation
• none of these

Explanation:

First Pair (Leftmost):

Step1: Analyze transformation type

Check if the figure is moved without rotation/reflection. The two arrow - like figures have the same orientation and position shift.

Step2: Identify transformation

Translation is moving a figure without rotating or reflecting. These figures match translation.

Step1: Analyze size and position

The first figure is larger, the second is smaller. Translation, reflection, rotation don't change size.

Step2: Determine relation

Since size changes, it's not translation, reflection, or rotation.

Step1: Check orientation change

The figures have a rotational change in orientation (like a turn).

Step2: Identify transformation

Rotation is turning a figure. These figures match rotation.

Answer:

Translation

Second Pair: