Possible transformations example | Transformations | Geometry | Khan Academy

TL;DR

Transformation C can be a reflection or rotation, while Transformation D can only be a translation.

Transcript

Transformation C maps negative 2, 3 to 4, negative 1. So let me do negative 2 comma 3, and it maps that to 4, negative 1. And point negative 5 comma 5, it maps that to 7, negative 3. And so let's think about this a little bit. How could we get from this point to this point, and that point to that point? Now it's tempting to view this that maybe a t... Read More

Key Insights

• 🎅 Transformation C cannot be a translation due to the mismatch in desired mapping.
• 🎅 A reflection is a possible transformation for Transformation C, as it aligns with the desired mapping.
• 🎅 Rotation is also a possible transformation for Transformation C, as it aligns with the desired mapping.
• 🔚 Transformation D can only be a translation, as no other transformation aligns with the desired mapping.

Questions & Answers

Q: Can Transformation C be a translation?

No, because the desired mapping does not align with a translation. The points (-2, 3) and (-5, 5) should map to (4, -1) and (7, -3), respectively.

Q: Could Transformation C be a reflection?

Yes, it is possible for Transformation C to be a reflection. If there is a line equidistant between the two points, reflecting them over this line would result in the desired mapping.

Q: Can Transformation C be a rotation?

Yes, a rotation is also a possibility for Transformation C. If the points are rotated around a certain point, they could map to their desired locations.

Q: What type of transformation can Transformation D be?

Transformation D can only be a translation because it successfully maps the points to their desired locations by shifting them horizontally and vertically.

Summary & Key Takeaways

• Transformation C maps the point (-2, 3) to (4, -1) and (-5, 5) to (7, -3), but cannot be a translation due to the desired mapping. It could be a reflection or rotation.

• Transformation D maps the point (4, -1) to (7, -3) and (-5, 5) to (-2, 3), and can only be a translation.