Free Printable WorksheetMathGeometryMath CurriculumG-SRT.A.1-3

GEO.104 Distinguish similarity from congruence Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.104 Distinguish similarity from congruence. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.104 Distinguish similarity from congruence - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.A.1-3. Skill statement in this prompt cell: Select whether the relationship shown is similarity or congruence and choose the evidence that supports that choice. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.A.1-3; NY GEO G.G-SRT.A; MA G-SRT.A; FL MA.912.GR.2.8; CCSS G-CO.B.6-8; NY GEO G.G-CO.B; FL MA.912.GR.2.6; TEKS §111.41(c). 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.104 Distinguish similarity from congruence skill assessments:

Problem 1Difficulty: Mastery

Two similar octagons have a corresponding side pair of 24 units and 24 units. The known scale factor from the first octagon to the second is 1. Which relationship and evidence are correct?

ACongruence; a scale factor of 1 means all corresponding side lengths are equal, while similarity already gives equal corresponding angles.

BSimilarity only; octagons with scale factor 1 must still have different sizes.

CCongruence; one equal side pair alone proves any two octagons are congruent without similarity information.

DSimilarity only; equal corresponding side lengths make angle measures unequal.

Solution & Explanation:Because the octagons are already known to be similar, a scale factor of 1 makes every corresponding side length equal. The more specific classification is congruence.

Problem 2Difficulty: Mastery

A parallelogram is translated by vector (6, -2) and then rotated 180 degrees about its center. Which relationship and evidence are correct?

ACongruence; translation and rotation are rigid motions that preserve lengths and angles.

BSimilarity; the vector components 6 and -2 create a scale factor of 3.

CCongruence; the translation changes side lengths but rotation changes them back.

DSimilarity; a 180-degree rotation doubles every angle measure.

Solution & Explanation:Both transformations are rigid motions. They preserve all side lengths and angle measures, so the final parallelogram is congruent to the original.

Problem 3Difficulty: Mastery

A polygon and its image are related by a dilation with scale factor 2/3. A side of length 18 units corresponds to a side of length 12 units. Which relationship and evidence are correct?

ACongruence; 18 and 12 are both side lengths in the same polygon family.

BSimilarity; 12/18 = 2/3, so all corresponding lengths are scaled by the same non-1 factor.

CCongruence; dilation scale factors always preserve side lengths exactly.

DSimilarity; only the side of length 18 changes while all other sides stay equal.

Solution & Explanation:The side length changes by the dilation factor 2/3. A non-1 dilation preserves shape and changes size, so the figures are similar but not congruent.

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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.A.1-3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.A.1-3. Skill statement in this prompt cell: Select whether the relationship shown is similarity or congruence and choose the evidence that supports that choice. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.A.1-3; NY GEO G.G-SRT.A; MA G-SRT.A; FL MA.912.GR.2.8; CCSS G-CO.B.6-8; NY GEO G.G-CO.B; FL MA.912.GR.2.6; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).