Midpoint-stretching polygon

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/midpoint-stretching-polygon

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the geometric transformation?Homothety (uniform scaling) with a specific center and scale factor
2. What is the resulting relationship?The transformed polygon is geometrically similar to the original
3. How does homothety change a polygon?Homothety enlarges or shrinks a shape by a fixed factor from a center point. Every vertex moves along a straight line that starts at the center. The shape stays similar to the original.
4. Why do the angles stay the same when we stretch a polygon?Because homothety only changes distances, not angles. The rays from the center keep the direction of each side, so the angles stay unchanged.

Homothety: A geometric transformation that scales an object from a fixed center by a constant factor.
Geometric Similarity: The property of two geometric figures having the same shape, regardless of size.
Scale Factor: The ratio by which a geometric figure is enlarged or reduced in a scaling transformation.