Free Printable WorksheetMathGrade 4Math Curriculum4.163

4.163 Identify Congruent Figures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.163 Identify Congruent Figures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given two figures, select whether they are congruent.

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

Grade 4

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 4.163 Identify Congruent Figures skill assessments:

Problem 1Difficulty: Mastery

Look at the diagram. Figure A is a notched rectangle, and Figure B is the same notched rectangle turned 90 degrees and reflected. Are they congruent?

ANot congruent: the notch appears on a different side after the moves.

BNot congruent: turning a notched rectangle changes the notch size.

CCannot decide: notched figures cannot be flipped.

DCongruent: turning and reflecting keep the same notch, side lengths, and overall outline.

Solution & Explanation:The notch and all side lengths are unchanged. A turn and a reflection can move the notch to a new side while keeping the figures congruent.

Problem 2Difficulty: Mastery

Look at the diagram. Figure A is a rectangle with a square notch cut out of one corner. Figure B is the same outer rectangle but has no notch. Are they congruent?

ACongruent: the outside rectangles are the same size.

BCongruent: both figures have the same height and width.

CNot congruent: Figure A has a missing corner notch and Figure B does not, so the outlines differ.

DCannot decide: corner notches are too small to compare.

Solution & Explanation:The notch changes the outline of Figure A. Congruent figures must match in every part of the outline.

Problem 3Difficulty: Mastery

Look at the diagram. Figure A is an irregular 6-sided shape. Figure B can be turned, flipped, and slid to cover Figure A exactly. Are they congruent?

ANot congruent: using a flip means the shape is backward.

BCongruent: if one figure can cover the other exactly after turns, flips, and slides, the figures are congruent.

CNot congruent: a six-sided figure cannot be congruent after moving.

DCannot decide: exact covering does not show size.

Solution & Explanation:A figure that can cover another exactly has the same shape and size. Turns, flips, and slides are allowed.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 4.163 Identify Congruent Figures 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 4.163 Identify Congruent Figures worksheet free for teachers and homeschoolers?

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QCan students practice 4.163 Identify Congruent Figures online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 4.163 Identify Congruent Figures interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 4 Math students. It aligns with educational standard 4.163 (No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Given two figures, select whether they are congruent. No attached standards were listed with this skill in the prompt cell. Use this curriculum wording and the source skill identifier 4.163 as the best available supporting standard description for this prompt-prep workflow.).