pdf Dilations - Origin As The Center

This coordinate plane worksheet provides focused practice with dilations when the origin is the center of dilation. Students apply scale factors such as 2.5, 3, and 4 to a variety of polygons and record both original and image coordinates.

The activity includes a trapezoid, triangle, quadrilateral, and irregular pentagon positioned across multiple quadrants. Because the origin is the center, students reinforce the rule \((x, y) \rightarrow (kx, ky)\) and observe how multiplying both coordinates by the same scale factor produces a similar figure. The inclusion of a non-integer scale factor such as 2.5 strengthens proportional reasoning and precision with rational numbers.

By combining graphing, coordinate recording, and similarity concepts, this resource builds both procedural fluency and conceptual understanding of how dilations affect size and position while preserving shape.

Skills Assessed

• Performing dilations centered at the origin

• Applying integer and decimal 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

• Dilation practice or reinforcement

• Independent work or homework

• Small-group intervention

• Assessment preparation

Details

• 4 pages

• Includes student version and answer key

• Multiple polygons across quadrants

• Mix of integer and decimal scale factors

ID# 0607