https://file.aiquickdraw.com/mathbot/file/17293775129946q7e2cfn.jpg

The problem displayed on the image seems to involve scaling a polygon on a grid.

Here’s a breakdown of the task as I interpret it:

**Task 4:**
- You are given a polygon (shown on a grid).
- You are asked to draw a scaled copy of the polygon using a scale factor of \(\frac{1}{2}\).

### Explanation:
Scaling a figure by a factor of \(\frac{1}{2}\) means that every dimension (length and width) of the polygon will be reduced to half its original size.

#### Steps to solve this:
1. Identify the coordinates of each vertex of the polygon on the grid.
2. Multiply the coordinates of each vertex by \(\frac{1}{2}\). This will give you the new, scaled-down coordinates.
3. Plot these new points on the same grid or another grid, and connect them to form the scaled polygon.

Would you like further clarification or assistance with the calculations?

---

Here are 5 related questions that can deepen your understanding of scaling:

1. What would happen if the scale factor was \(\frac{3}{2}\) instead of \(\frac{1}{2}\)?
2. How does scaling affect the perimeter of the polygon?
3. How does scaling impact the area of the polygon?
4. Can you explain how you would scale the polygon if the scale factor was negative, say \(-2\)?
5. What would be the difference in the process if the scaling factor was \(\frac{1}{4}\) instead of \(\frac{1}{2}\)?

**Tip:** When scaling, remember that the shape of the polygon remains similar, meaning angles stay the same but the size changes proportionally.

Here is a polygon. Draw a scaled copy of the polygon using a scale factor of 1/2.

Learn how to scale a polygon using a factor of 1/2 on a grid. This problem covers key geometric concepts, including how to find new coordinates by scaling down and plotting the scaled polygon on a grid. 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