https://file.aiquickdraw.com/mathbot/file/17294306033992oeeg598.jpg

The task in the image asks to identify which triangles are translations of triangle \( Y \). A translation means that the shape must be moved without being rotated, reflected, or resized. In other words, the triangle should have the same orientation and size as triangle \( Y \), but it can be positioned in a different location on the grid.

Let's analyze the triangles:

- **Triangle A**: This triangle is a reflection of \( Y \), not a translation.
- **Triangle B**: This is also a reflection or rotated version of \( Y \), so it's not a translation.
- **Triangle C**: Same as B, it has a different orientation, so it's not a translation.
- **Triangle D**: This triangle is a translation of \( Y \). The shape and orientation are identical, just shifted.
- **Triangle E**: This triangle is a translation of \( Y \). The orientation and size match, it is just moved to a different position.
- **Triangle F**: This triangle is also a reflection, not a translation.
- **Triangle G**: This is a translation of triangle \( Y \) with the same shape and orientation.

### Final Answer:
The triangles that are translations of triangle \( Y \) are **D**, **E**, and **G**.

Would you like more details or have any questions on this?

Here are some related questions for further practice:
1. What is the difference between a translation and a reflection?
2. Can a triangle be both a translation and a rotation of another triangle?
3. How do you identify a rotation versus a translation?
4. What are other types of transformations besides translation and reflection?
5. How can you describe a translation mathematically using vector notation?

**Tip**: When identifying translations, check if the shape maintains the same size and orientation while only shifting position on the plane.

Select all of the triangles below which are translations of triangle Y.

Learn how to identify translations of triangle Y among different triangles on a grid. This problem covers key geometric concepts, including transformations, translations, and orientation, and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation