Free Printable WorksheetMathTrigonometryMath CurriculumHSG.GPE.B.4

TRIG.24 Use a coordinate grid to represent geometric information Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.24 Use a coordinate grid to represent geometric information. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.24 Use a coordinate grid to represent geometric information - Primary standard selected for prompt fields in this prompt cell: CCSS HSG.GPE.B.4. Skill statement in this prompt cell: Select the correct plotted point, distance, or slope interpretation on a coordinate grid for a geometry or trigonometry setup. Associated standards listed with this skill in this prompt cell: CCSS HSG.GPE.B.4; CCSS HSG.SRT.C.8; TEKS §111.42(c)(4). 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

Trigonometry

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 TRIG.24 Use a coordinate grid to represent geometric information skill assessments:

Problem 1Difficulty: Mastery
Segment AB has A(-2, 5) and B(4, 1). Segment A'B' is formed by swapping each point's x- and y-coordinates, giving A'(5, -2) and B'(1, 4). Which comparison is correct?
AThe distances are equal, but the slopes differ: -2/3 and -3/2.
BThe slopes are equal, but the distances differ.
CBoth slopes are 2/3 because swapping coordinates preserves slope.
DThe original distance is 13, and the new distance is 17.
Solution & Explanation:Original slope is (1 - 5)/(4 - (-2)) = -4/6 = -2/3. The swapped slope is (4 - (-2))/(1 - 5) = 6/(-4) = -3/2. Both distances use the same squared changes, so the distances are equal.
Problem 2Difficulty: Mastery
From A(2, 2), a ray goes to the right with slope -5/12. Which point on that ray is 13 units from A?
A(14, -3)
B(-10, 7)
C(7, -10)
D(15, -10)
Solution & Explanation:A 5-12-13 triangle with a rightward run uses run 12 and rise -5. Add those to A: (2 + 12, 2 - 5) = (14, -3).
Problem 3Difficulty: Mastery
A student tries to plot (-7, 3) by moving 7 units right and 3 units up from the origin. What correction should be made?
AMove 7 units left and 3 units up.
BMove 7 units right and 3 units down.
CMove 3 units left and 7 units up.
DMove 3 units right and 7 units down.
Solution & Explanation:The x-coordinate -7 means move left 7 units, and the y-coordinate 3 means move up 3 units.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard HSG.GPE.B.4 (Primary standard selected for prompt fields in this prompt cell: CCSS HSG.GPE.B.4. Skill statement in this prompt cell: Select the correct plotted point, distance, or slope interpretation on a coordinate grid for a geometry or trigonometry setup. Associated standards listed with this skill in this prompt cell: CCSS HSG.GPE.B.4; CCSS HSG.SRT.C.8; TEKS §111.42(c)(4). Use this prompt-provided wording as the supporting standard description for this workflow.).

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