Free Printable WorksheetMathGeometryMath CurriculumG-SRT.B.4-5

GEO.106 Use angle correspondence in similar triangles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.106 Use angle correspondence in similar triangles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.106 Use angle correspondence in similar triangles - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.B.4-5. Skill statement in this prompt cell: Select the pair of corresponding angles and determine the unknown angle measure in similar triangles. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.B.4-5; NY GEO G.G-SRT.B; MA G-SRT.B; FL MA.912.GR.1.2, 1.6. 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.106 Use angle correspondence in similar triangles skill assessments:

Problem 1Difficulty: Mastery

Triangle ABC and triangle DEF are similar. Angle A measures 64 degrees, angle B measures 42 degrees, and angle C measures 74 degrees. Triangle DEF has angle D = 74 degrees, angle E = 64 degrees, and angle F is marked x. Which angle in ABC corresponds to F, and what is x?

Aangle A corresponds to angle F; x = 64 degrees

Bangle B corresponds to angle F; x = 42 degrees

Cangle C corresponds to angle F; x = 74 degrees

Dangle B corresponds to angle E; x = 42 degrees

Solution & Explanation:The angle in DEF that is not D = 74 degrees or E = 64 degrees must be F = 42 degrees. This matches angle B, so angle B corresponds to F and x = 42 degrees.

Problem 2Difficulty: Mastery

Triangle FGH is similar to triangle QRP. Angle F measures 112 degrees, angle R measures 31 degrees, and angle P is marked x. Which corresponding pair and value are correct?

Aangle H corresponds to angle P; x = 37 degrees

Bangle F corresponds to angle P; x = 112 degrees

Cangle G corresponds to angle P; x = 31 degrees

Dangle H corresponds to angle R; x = 37 degrees

Solution & Explanation:In FGH ~ QRP, G corresponds to R, so angle G is 31 degrees. Then angle H = 180 - 112 - 31 = 37 degrees. H corresponds to P, so x = 37 degrees.

Problem 3Difficulty: Mastery

Angle markings show that angle J matches angle T and angle L matches angle R. Triangles JKL and TSR are similar. In triangle TSR, angle T measures 66 degrees and angle R measures 49 degrees. Angle K is marked x. Which pair and value are correct?

Aangle J corresponds to angle S; x = 66 degrees

Bangle L corresponds to angle S; x = 49 degrees

Cangle K corresponds to angle R; x = 65 degrees

Dangle K corresponds to angle S; x = 65 degrees

Solution & Explanation:If J matches T and L matches R, the remaining angles K and S correspond. Angle S = 180 - 66 - 49 = 65 degrees, so x = 65 degrees.

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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 Geometry Math students. It aligns with educational standard G-SRT.B.4-5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.B.4-5. Skill statement in this prompt cell: Select the pair of corresponding angles and determine the unknown angle measure in similar triangles. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.B.4-5; NY GEO G.G-SRT.B; MA G-SRT.B; FL MA.912.GR.1.2, 1.6. Use this prompt-provided wording as the supporting standard description for this workflow.).