Question

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

Explanation:

Step1: Analyze the first pair

• Translation: A translation moves a figure without rotating or reflecting it. The first pair is rotated, so not translation.
• Reflection: A reflection flips a figure over a line. The first pair is rotated, not reflected.
• Rotation: A rotation turns a figure around a point. The first pair is related by rotation.

Step2: Analyze the second pair

• Translation: A translation moves a figure without rotating or reflecting it. The second pair is related by reflection (a flip), not translation.
• Reflection: A reflection flips a figure over a line. The second pair is related by reflection.
• Rotation: A rotation turns a figure around a point. The second pair is not rotated.

Step3: Analyze the third pair

• Translation: A translation moves a figure without rotating or reflecting it. The third pair has different sizes (one is smaller), so not translation.
• Reflection: A reflection flips a figure over a line. Different sizes, so not reflection.
• Rotation: A rotation turns a figure around a point. Different sizes, so not rotation.

Step4: Analyze the fourth pair

• Translation: A translation moves a figure without rotating or reflecting it. The fourth pair is rotated, so not translation.
• Reflection: A reflection flips a figure over a line. The fourth pair is rotated, not reflected.
• Rotation: A rotation turns a figure around a point. The fourth pair is related by rotation.

Answer:

1. Rotation
2. Reflection
3. None of these
4. Rotation