Free Printable WorksheetMathTrigonometryMath CurriculumHSG.SRT.C.6

TRIG.21 Identify opposite, adjacent, and hypotenuse relative to a reference angle Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.21 Identify opposite, adjacent, and hypotenuse relative to a reference angle. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.21 Identify opposite, adjacent, and hypotenuse relative to a reference angle - Primary standard selected for prompt fields in this prompt cell: CCSS HSG.SRT.C.6. Skill statement in this prompt cell: Select which side is opposite, adjacent, or hypotenuse relative to a marked angle in a right triangle. Associated standards listed with this skill in this prompt cell: CCSS HSG.SRT.C.6; FL MA.912.T.1.1; VA T.TT.1a. 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.21 Identify opposite, adjacent, and hypotenuse relative to a reference angle skill assessments:

Problem 1Difficulty: Mastery
Right triangle WXY has right angle W and reference angle X. The side lengths are WX = 21, WY = 20, and XY = 29. Which statement is fully correct?
AWY is opposite, WX is adjacent, XY is hypotenuse
BWX is opposite, WY is adjacent, XY is hypotenuse
CXY is opposite, WX is adjacent, WY is hypotenuse
DWY is opposite, XY is adjacent, WX is hypotenuse
Solution & Explanation:For angle X, side WY is across from the angle, WX is the leg touching the angle, and XY is across from the right angle W.
Problem 2Difficulty: Mastery
Two right triangles share reference angle A. In triangle ABC, angle C is the right angle. In triangle ADE, angle E is the right angle. Which statement correctly names both hypotenuses?
AAB in triangle ABC and AD in triangle ADE
BAC in triangle ABC and AE in triangle ADE
CBC in triangle ABC and DE in triangle ADE
DAB in triangle ABC and AE in triangle ADE
Solution & Explanation:The hypotenuse is across from the right angle. Across from C in triangle ABC is AB; across from E in triangle ADE is AD.
Problem 3Difficulty: Mastery
Right triangle ABC has right angle B and reference angle A. Which side is the adjacent leg that would pair with the hypotenuse in a cosine setup?
Aside AB
Bside AC
Cside BC
Dside AC because it touches angle A
Solution & Explanation:Side AC is the hypotenuse because it is across from right angle B. The adjacent leg to angle A is AB.

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Frequently Asked Questions

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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.C.6 (Primary standard selected for prompt fields in this prompt cell: CCSS HSG.SRT.C.6. Skill statement in this prompt cell: Select which side is opposite, adjacent, or hypotenuse relative to a marked angle in a right triangle. Associated standards listed with this skill in this prompt cell: CCSS HSG.SRT.C.6; FL MA.912.T.1.1; VA T.TT.1a. Use this prompt-provided wording as the supporting standard description for this workflow.).

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