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Free 9th Grade Geometry Worksheets

11 free geometry resources for 9th Grade: 9 worksheets, 2 study guides. Answers included.

Shapes, angles, transformations and trigonometry. 9th grade students solve more complex equations, work with linear graphs, meet Pythagoras' theorem and trigonometry, and expand binomials.

Students will practice: understanding the relationship c[sup 2] = a[sup 2] + b[sup 2] in a right triangle; identifying the hypotenuse; finding the hypotenuse and a shorter side; testing whether a triangle is a right triangle; understanding how to label the hypotenuse, opposite and adjacent sides relative to an angle; choosing the correct trigonometric ratio from the sides involved; finding an unknown side length in a right triangle; finding an unknown angle using inverse sine, cosine and tangent.

Recommended learning path

  1. 1Pythagorean Theorem Explained
  2. 2Trigonometry Cheat Sheet: SOH CAH TOA
  3. 39th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 1
  4. 49th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2
  5. 59th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 1

    Name the quadrant of a point, find the midpoint of a segment and the distance between two points. Builds confidence with the core skill…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Pythagorean Theorem Worksheet — Level 1

    Find the hypotenuse or a shorter side of a right triangle. Builds confidence with the core skill before adding complexity. This 9th Grade…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Trigonometry (Finding Sides) Worksheet — Level 1

    Use sine, cosine and tangent to find unknown sides in right triangles. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 2

    Name the quadrant of a point, find the midpoint of a segment and the distance between two points. Expected-level practice for this grade.…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Pythagorean Theorem Worksheet — Level 2

    Find the hypotenuse or a shorter side of a right triangle. Expected-level practice for this grade. This 9th Grade worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Trigonometry (Finding Sides) Worksheet — Level 2

    Use sine, cosine and tangent to find unknown sides in right triangles. Expected-level practice for this grade. This 9th Grade worksheet…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Coordinates: Quadrants, Midpoints and Distance Worksheet — Level 3

    Name the quadrant of a point, find the midpoint of a segment and the distance between two points. A challenge set for students ready to…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Pythagorean Theorem Worksheet — Level 3

    Find the hypotenuse or a shorter side of a right triangle. A challenge set for students ready to stretch further. This 9th Grade worksheet…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    9th Grade Trigonometry (Finding Sides) Worksheet — Level 3

    Use sine, cosine and tangent to find unknown sides in right triangles. A challenge set for students ready to stretch further. This 9th…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Pythagorean Theorem Explained

    Explains the Pythagorean theorem for right triangles, how to find the hypotenuse, how to find a shorter side, and how to test whether a…

    Difficulty
    Level 2 · Standard
    Time
    20 min

Cheat Sheets

Formulas and rules at a glance.

  • Cheat Sheet

    Trigonometry Cheat Sheet: SOH CAH TOA

    A compact reference for right triangle trigonometry in 9th grade: labeling the opposite, adjacent and hypotenuse, choosing sine, cosine or…

    Difficulty
    Level 2 · Standard
    Time
    20 min

All geometry worksheets, every grade →

Common questions

What do 9th Grade students learn about geometry?

Shapes, angles, transformations and trigonometry. At 9th Grade, our resources focus on: understanding the relationship c[sup 2] = a[sup 2] + b[sup 2] in a right triangle; identifying the hypotenuse; finding the hypotenuse and a shorter side; testing whether a triangle is a right triangle.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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