Free Printable WorksheetMathGeometryMath CurriculumG-SRT.C.6-8

GEO.103 Connect similarity, trigonometry, and coordinate geometry Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.103 Connect similarity, trigonometry, and coordinate geometry. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.103 Connect similarity, trigonometry, and coordinate geometry - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select the coordinate relationship (distance, slope, or ratio) that correctly sets up a similarity or trigonometry problem and choose the correct solution. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.C.6-8; VA G.TR.4; FL MA.912.T.1.*; TEKS §111.41(c); CCSS G-GPE.B.4; FL MA.912.GR.3.2-3.3; MA G-GPE.B.4; NY GEO G.G-GPE.B.4; CCSS G-MG.A.1; SMP.4; NY HS Modeling; MA G-MG.A.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

Geometry

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 GEO.103 Connect similarity, trigonometry, and coordinate geometry skill assessments:

Problem 1Difficulty: Mastery
Triangle ABC has A(2,-1), B(18,-1), and C(18,29). A similar triangle has corresponding adjacent leg 24 for the angle matching A. Which setup finds its hypotenuse?
AUse distance: AC = sqrt(162 + 302) = 34 and ratio 24/16 = 3/2, so the new hypotenuse is 51
BUse slope: tan(A) = 30/16 = 15/8, so the new hypotenuse is 15/8
CUse ratio: 16/24 = 3/2, so the new hypotenuse is 51
DUse distance: AC = 34, so every similar triangle has hypotenuse 34
Solution & Explanation:The original adjacent leg is 16 and the hypotenuse is 34. The new adjacent leg 24 gives scale factor 24/16 = 3/2, so the new hypotenuse is 34 times 3/2 = 51.
Problem 2Difficulty: Mastery
A small coordinate right triangle has horizontal change 5 and vertical change -12. A similar larger triangle has horizontal change 15. Which setup gives the larger triangle's vertical change and tangent ratio?
AUse ratio: 15/5 = 3, so vertical change = -36 and tan(theta) = -12/5
BUse distance: vertical change = sqrt(152 + 122) and tan(theta) = 12/5
CUse ratio: 5/15 = 3, so vertical change = -36 and tan(theta) = -36/15
DUse slope: vertical change = 15 - 5 - 12 = -2 and tan(theta) = -2/15
Solution & Explanation:The scale factor is 15/5 = 3. Multiply the signed vertical change by 3 to get -36; the tangent ratio stays -12/5.
Problem 3Difficulty: Mastery
A terminal point P(9,40) lies on the ray for angle theta. Which setup gives cot(theta)?
AUse distance: cot(theta) = 41
BUse ratio: cot(theta) = adjacent/opposite = 9/40
CUse slope: cot(theta) = 40/9
DUse ratio: cot(theta) = 9/41
Solution & Explanation:Cotangent is adjacent over opposite. With point (9,40), adjacent = 9 and opposite = 40, so cot(theta) = 9/40.

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Frequently Asked Questions

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QHow do I download and print this GEO.103 Connect similarity, trigonometry, and coordinate geometry worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this GEO.103 Connect similarity, trigonometry, and coordinate geometry 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 Geometry Math students. It aligns with educational standard G-SRT.C.6-8 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select the coordinate relationship (distance, slope, or ratio) that correctly sets up a similarity or trigonometry problem and choose the correct solution. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.C.6-8; VA G.TR.4; FL MA.912.T.1.*; TEKS §111.41(c); CCSS G-GPE.B.4; FL MA.912.GR.3.2-3.3; MA G-GPE.B.4; NY GEO G.G-GPE.B.4; CCSS G-MG.A.1; SMP.4; NY HS Modeling; MA G-MG.A.1. Use this prompt-provided wording as the supporting standard description for this workflow.).

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