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Enlargements Using Column Vectors WORKSHEET

Suitable for Grades: 8th Grade
CCSS: 8.G.A.4
CCSS Description: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

Enlargements Using Column Vectors WORKSHEET DESCRIPTION

In this worksheet, students will explore using column vectors to enlarge shapes from a center of enlargement, particularly focusing on negative scale factors. This method allows pupils to accurately transform shapes.

Section A provides a reminder of scaling column vectors, describing their movement, and practice writing column vectors.

In Section B, learners will enlarge shapes from given centers of enlargement using specified scale factors. Students will write column vectors to show the distance from the center of enlargement to each vertex and multiply vectors by the scale factor to find the vertices of the image.

The worksheet includes 6 enlargements with scale factors, including positive and negative integers and fractions.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Frequently Asked Questions

This 8th grade worksheet specifically focuses on using column vectors as the mathematical tool for performing enlargements, which gives students a more systematic approach than other methods. The emphasis on negative scale factors adds complexity since students must understand how these create rotated images, making this more advanced than simple positive scaling exercises.