a(2,0)b(-1,5)c(4,3) translation along the vector (0,2)

To perform a translation of the points \( A(2, 0) \), \( B(-1, 5) \), and \( C(4, 3) \) along the vector \( (0, 2) \), we simply add the vector to each of the points.

The translation vector \( (0, 2) \) means we add 0 to the x-coordinate and 2 to the y-coordinate of each point.

Let's calculate the new coordinates:

1. **Point A**:
   \[
   A'(2 + 0, 0 + 2) = A'(2, 2)
   \]

2. **Point B**:
   \[
   B'(-1 + 0, 5 + 2) = B'(-1, 7)
   \]

3. **Point C**:
   \[
   C'(4 + 0, 3 + 2) = C'(4, 5)
   \]

### Translated points:
- \( A'(2, 2) \)
- \( B'(-1, 7) \)
- \( C'(4, 5) \)

Would you like further details or have any questions?

Here are five related questions:
1. How do you find the coordinates after a translation along a general vector?
2. What is the geometric effect of translating along a vector?
3. How would the result change if the translation vector was \( (-3, 1) \)?
4. Can you perform a reflection after a translation?
5. How do you compose multiple translations?

**Tip**: When translating points, keep track of both the horizontal and vertical components of the vector for accurate results.

Learn how to translate the points A(2,0), B(-1,5), and C(4,3) along the vector (0,2). This geometry problem demonstrates translation of points in a coordinate plane using vector operations. 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