pdf Dilation Using A Fractional Scale Factor

This multi-page dilation worksheet provides focused practice with fractional scale factors when the origin is the center of dilation. Students apply scale factors such as \( \tfrac{1}{2} \), \( \tfrac{1}{3} \), \( \tfrac{2}{3} \), \( \tfrac{1}{4} \), and \( \tfrac{3}{4} \) to a variety of polygons, including triangles, parallelograms, and rectangles.

Students first record the original coordinates of each figure and then determine the image coordinates after applying the fractional scale factor. Because the origin is the center of dilation, learners reinforce the rule \((x, y) \rightarrow (kx, ky)\) while strengthening precision with rational number multiplication. The coordinate-plane diagrams provide visual confirmation of how figures shrink proportionally toward the origin.

The resource includes multiple pages of practice problems along with a complete answer key, making it ideal for building fluency and reinforcing conceptual understanding of similarity and proportional reasoning within transformations.

Skills Assessed

• Performing dilations centered at the origin

• Applying fractional scale factors

• Recording original and image coordinates

• Using the rule \((x, y) \rightarrow (kx, ky)\)

• Connecting dilations to similarity and proportional reasoning

Classroom Use

• Transformations unit

• Fractional dilation practice

• Small-group intervention

• Independent practice or homework

• Assessment preparation

Details

• 5 pages

• Includes student version and answer key

• Multiple polygons across quadrants

• Focused on fractional scale factors

ID# 0609