18 questions
10th - 10th Grade
Mathematics
Dilations and Scale Factor is a free printable Grade 10 mathematics worksheet with an answer key for practicing how scale factors transform figures. Across 18 questions—12 multiple choice, 2 multiple select, and 4 fill-in-the-blank items—students identify scale factors between corresponding figures, apply multiplication to find new side lengths, and decide whether a dilation produces an enlargement or reduction. The worksheet also reinforces that similar polygons have congruent corresponding angles and gives students practice interpreting scale factors greater than 1, less than 1, and fractional or decimal values. Items involving triangles, polygons, and corresponding side lengths require students to distinguish the direction of a dilation, select all valid scale factors, and calculate missing measurements. It is suited to Grade 10 geometry instruction, independent practice, homework, or a quick formative assessment after introducing dilations and similarity.
Worksheet settings
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WorksheetsAnswer Key2
1/2
2 / 5; reduction
Congruent
3
1.2
, d)5
, b)2
0.5
, c)3/4
, e)0.875
This Grade 10 worksheet helps students use scale factors to compare corresponding figures, determine whether a dilation is an enlargement or reduction, and calculate missing side lengths. Its 18 items combine multiple choice, multiple select, and fill-in-the-blank formats, including questions that require multiplication by the scale factor and recognition that corresponding angles in similar polygons are congruent.
Introduce the worksheet by modeling how to compare a corresponding side in the image and preimage, then use multiplication to find the scale factor or missing length. Have students explain why values greater than 1 produce enlargements and values between 0 and 1 produce reductions before they complete the multiple-select items. Review the triangle, polygon, and missing-side questions as a class to discuss the direction of each dilation.
Students may calculate the reciprocal because they reverse the stated direction, such as finding the factor from the larger triangle to the smaller one instead of from the smaller to the larger. They may also confuse multiplication with division, label a factor less than 1 as an enlargement, or select only one answer in the multiple-select questions about enlargement and reduction. Check that students use corresponding side lengths and recognize congruent corresponding angles in similar polygons.
Wayground provides this worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for all 18 items. You can grade printable student submissions by scanning their work with the Wayground for Teachers app, or review responses from the digital quiz. The printable format can also support schools that are reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing and font size so the scale-factor choices, numerical prompts, and fill-in-the-blank items are easier to read. You can also select a dyslexia-friendly font or translate the worksheet into another language when helpful for students working through the dilation vocabulary and instructions.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
