Free Printable WorksheetMathTrigonometryMath CurriculumHSG.SRT.A.2-3

TRIG.15 Use similarity and proportional reasoning to compare triangles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.15 Use similarity and proportional reasoning to compare triangles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.15 Use similarity and proportional reasoning to compare triangles - Primary standard selected for prompt fields in this prompt cell: CCSS HSG.SRT.A.2-3. Skill statement in this prompt cell: Identify whether two triangles are similar and select the correct proportion or scale factor that matches corresponding sides. Associated standards listed with this skill in this prompt cell: CCSS HSG.SRT.A.2-3; CCSS HSG.SRT.B.4; CCSS HSG.SRT.C.6-8; CCSS HSN.RN.A.2; CCSS HSA.REI.A.1; TEKS §111.42(c)(1). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Trigonometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related TRIG.15 Use similarity and proportional reasoning to compare triangles skill assessments:

Problem 1Difficulty: Mastery
Triangle ABC has sides 14, 21, and 28. Triangle DEF has sides 10, 15, and 20. The angle between the 14 and 21 sides equals the angle between the 10 and 15 sides. Which conclusion is strongest?
AThe triangles are similar by SAS, and the scale factor from DEF to ABC is 7/5.
BThe triangles are similar by SAS, and the scale factor from DEF to ABC is 5/7.
CThe triangles are not similar because 14 and 10 are different lengths.
DThe triangles are congruent because an included angle is equal.
Solution & Explanation:The side ratios around the included angle match: 14/10 = 21/15 = 7/5. With the included angles equal, SAS similarity applies, and the scale factor from DEF to ABC is 7/5.
Problem 2Difficulty: Mastery
In two similar triangles, the ratio of a side in triangle A to its corresponding side in triangle B is 0.8. If the side in triangle A is 25, what is the corresponding side in triangle B?
Solution & Explanation:The ratio is A/B = 0.8, so 25/B = 0.8. Dividing 25 by 0.8 gives B = 31.25.
Problem 3Difficulty: Mastery
A dilation followed by a reflection always produces a triangle similar to the original triangle.
ATrue
BFalse
Solution & Explanation:A dilation changes all side lengths by one scale factor, and a reflection preserves lengths and angles. The resulting triangle is similar to the original.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this TRIG.15 Use similarity and proportional reasoning to compare triangles worksheet?

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QIs this TRIG.15 Use similarity and proportional reasoning to compare triangles worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard HSG.SRT.A.2-3 (Primary standard selected for prompt fields in this prompt cell: CCSS HSG.SRT.A.2-3. Skill statement in this prompt cell: Identify whether two triangles are similar and select the correct proportion or scale factor that matches corresponding sides. Associated standards listed with this skill in this prompt cell: CCSS HSG.SRT.A.2-3; CCSS HSG.SRT.B.4; CCSS HSG.SRT.C.6-8; CCSS HSN.RN.A.2; CCSS HSA.REI.A.1; TEKS §111.42(c)(1). Use this prompt-provided wording as the supporting standard description for this workflow.).

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