11 questions
8th - 8th Grade
Mathematics
This Grade 8 mathematics worksheet gives students focused practice with similar figures through 11 multiple-choice questions. Students identify similar figures, recognize that corresponding angles are congruent, and distinguish similarity from congruence across triangles, parallelograms, cylinders, and other solids. The worksheet then applies similarity to find missing side lengths and dimensions using proportional relationships. Two real-world shadow problems require students to model similar triangles and solve proportions, while later items extend the same reasoning to three-dimensional figures. This free printable worksheet includes a complete answer key and is suitable for guided practice, independent review, or a short assessment of students’ ability to use similarity relationships.
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WorksheetsAnswer KeyA & C are similar
25 feet
18 m
This Grade 8 worksheet uses 11 multiple-choice questions to build understanding of similar figures and their properties. Students identify similarity, recognize congruent corresponding angles, determine whether two figures or solids are similar, and use proportions to find missing sides and dimensions in triangles, parallelograms, cylinders, and other solids. Two shadow-length problems apply similar-triangle reasoning to real-world measurements.
Begin with the definition and angle-property questions so students establish that similar figures have the same shape and congruent corresponding angles, even when their sizes differ. Then model how to match corresponding sides and set up a proportion before students solve the missing-length questions for triangles, parallelograms, and solids. Use the two shadow problems to connect the same proportion strategy to a real-world context, asking students to draw a diagram and explain which measurements correspond.
Students may confuse similar figures with congruent figures and choose an answer that requires the figures to be the same size. In the missing-side and missing-dimension questions, watch for mismatched corresponding sides or an incorrectly arranged proportion. For the shadow problems, students may reverse the height-to-shadow relationship or use only one figure’s measurements instead of comparing both figures.
Wayground provides this worksheet as a printable PDF and as a digital quiz, with a complete answer key for all 11 multiple-choice questions. You can print it for in-class practice or assign the digital version, then grade printable student work by scanning it with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the multiple-choice options and figure-based proportion problems are easier to read. You can also select a dyslexia-friendly font or translate the worksheet into another language while keeping the similar-figures questions and answer choices intact.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
