Free Printable WorksheetMathGrade 7Math Curriculum7.115

7.115 Coordinate Plane Geometry for Axis Aligned Figures Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.115 Coordinate Plane Geometry for Axis Aligned Figures. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.115 Coordinate plane geometry for axis-aligned figures - In multiple-choice items, students choose the correct perimeter or area of an axis-aligned shape drawn on a coordinate grid and select the coordinate information used.

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 7

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 7.115 Coordinate Plane Geometry for Axis Aligned Figures skill assessments:

Problem 1Difficulty: Mastery

The boundary of a U-shaped map section is traced through (-19, -17), (-12, -17), (-12, -7), (-4, -7), (-4, -17), (1, -17), (1, 1), (-19, 1). Which choice gives the perimeter and the useful grid distances?

A76 units; this is only the outer rectangle perimeter and misses the two notch sides.

B96 units; use outer width 20, outer height 18, and two notch sides of length 10.

C86 units; this adds only one notch side of length 10.

D92 units; this adds the notch width twice instead of the notch depth.

Solution & Explanation:A U-shape perimeter equals the outside rectangle perimeter plus the two notch sides: 2(20 + 18) + 2(10) = 96 units. The notch width replaces part of the outer edge, so it is not added twice.

Problem 2Difficulty: Mastery

A coordinate grid shows an L-shaped lab table layout with vertices in order (-22, 5), (-9, 5), (-9, 9), (-1, 9), (-1, 17), (-22, 17). What is its area, and which coordinate information supports it?

A252 square units; this uses only the outer rectangle 21 by 12.

B284 square units; this adds the missing 8 by 4 rectangle instead of subtracting it.

C220 square units; use outer rectangle 21 by 12 and subtract the bottom right rectangle 8 by 4.

D216 square units; this uses missing width 9 instead of 8.

Solution & Explanation:The outer rectangle is 21 by 12, so its area is 252. The missing bottom right rectangle is 8 by 4, with area 32. Subtract: 252 - 32 = 220 square units.

Problem 3Difficulty: Mastery

Use the listed coordinates for the T-shaped reading nook: (14, -14), (19, -14), (19, -5), (22, -5), (22, 1), (6, 1), (6, -5), (14, -5). What perimeter comes from adding each outside segment?

A141 units; this uses the area value as the perimeter.

B72 units; this adds separate rectangle perimeters and double-counts shared edges.

C57 units; this leaves out the bottom of the stem.

D62 units; add all outside horizontal and vertical segments from the vertex-to-vertex coordinate differences.

Solution & Explanation:Add the length of each outside segment between consecutive vertices. Those horizontal and vertical coordinate differences sum to 62 units. Do not count shared inside edges as part of the perimeter.

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Frequently Asked Questions

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QHow do I download and print this 7.115 Coordinate Plane Geometry for Axis Aligned Figures worksheet?

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QIs this 7.115 Coordinate Plane Geometry for Axis Aligned Figures worksheet free for teachers and homeschoolers?

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QCan students practice 7.115 Coordinate Plane Geometry for Axis Aligned Figures online with instant feedback?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.115 (No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: In multiple-choice items, students choose the correct perimeter or area of an axis-aligned shape drawn on a coordinate grid and select the coordinate information used. No attached standards were listed with this skill in the prompt cell. Use this curriculum wording and the source skill identifier 7.115 as the best available supporting standard description for this prompt-prep workflow.).