Similar Shapes - Missing Lengths WORKSHEET
Similar Shapes - Missing Lengths WORKSHEET DESCRIPTION
This worksheet offers targeted practice for students focusing on the use of scale factors and ratio reasoning to solve problems involving similar shapes.
The worksheet begins with Section A, where students calculate the scale factor of enlargement from the object to the image. Ratio tables are used as a scaffold.
In Section B, students decide whether pairs of shapes are similar, justifying their answers by comparing corresponding side lengths and calculating scale factors.
Section C requires learners to apply proportional reasoning to find unknown lengths.
Finally, in Section D, pupils will use the given perimeters of similar polygons to calculate multiple missing lengths in two shapes.
Throughout, the worksheet builds confidence in working with similarity and congruence, reinforcing key concepts in geometry and helping students develop their problem-solving skills.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Students should be comfortable working with ratios and proportion, as these form the foundation for understanding scale factors between similar shapes. They'll also need to know how to calculate perimeters, since the final section involves using given perimeters of similar polygons to work backwards and find missing side lengths.