FreeMathWorksheet
FreeMathWorksheet

Practice Worksheet

TN-MATH-GR4-43755 · v3.-3

Properties of Triangles

Grade 4 · Math · Geometry · College Board (AP/SAT)

Grade

Grade 4

Subject

Math

Topic

Geometry

Subtopic

Properties of Triangles

Curriculum

College Board (AP/SAT)

Difficulty

Core

Time

30 minutes

Total marks

46

Student name

Teacher name

Date

Learning objectives

  • Recognise properties of triangles accurately in math contexts.
  • Explain the underlying rule of properties of triangles in the student's own words.
  • Apply properties of triangles to multi-step and unfamiliar problems.
  • Justify a chosen method and identify errors in another student's work.

Skills assessed

  • Fluency and recall
  • Method and setting out
  • Reasoning and justification
  • Problem solving in context
  • Self-assessment

Instructions

  1. Write your name, your teacher's name and the date in the header.
  2. Answer every question in the space provided. Continue on the back if needed.
  3. Show all working — method marks are awarded even when the final answer is wrong.
  4. Aim to finish in about 30 minutes.
  5. Complete the reflection box at the end before you hand the sheet in.

Warm-up

Bloom: Remember · 4 marks

Answer quickly. These check you are ready for the topic.

  1. 1.Write down one fact you already know about properties of triangles.

    [1]
  2. 2.Name one fact you already know about properties of triangles.

    [1]
  3. 3.State one fact you already know about properties of triangles.

    [1]
  4. 4.Circle one fact you already know about properties of triangles.

    [1]

Recall

Bloom: Remember · 4 marks

Complete from memory. No calculator, no notes.

  1. 1.Complete the key term used in properties of triangles described here: item 1.

    [1]
  2. 2.Define the key term used in properties of triangles described here: item 2.

    [1]
  3. 3.Label the key term used in properties of triangles described here: item 3.

    [1]
  4. 4.Define the key term used in properties of triangles described here: item 4.

    [1]

FreeMathWorksheet · TN-MATH-GR4-43755 · v3.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 1 of 4

FreeMathWorksheet · Grade 4 Math

Properties of Triangles

Basic Practice

Bloom: Understand · 5 marks

Work through each item. Show the step you used.

  1. 1.Match part 1 using the rule for properties of triangles.

    [1]
  2. 2.Identify part 2 using the rule for properties of triangles.

    [1]
  3. 3.Identify part 3 using the rule for properties of triangles.

    [1]
  4. 4.Identify part 4 using the rule for properties of triangles.

    [1]
  5. 5.Complete part 5 using the rule for properties of triangles.

    [1]

Guided Practice

Bloom: Understand · 8 marks

The first step is given. Finish the reasoning.

  1. 1.Complete the method for part 1. Step 1 has been started for you.

    [2]
  2. 2.Complete the method for part 2. Step 1 has been started for you.

    [2]
  3. 3.Complete the method for part 3. Step 1 has been started for you.

    [2]
  4. 4.Continue the working for part 4. Step 1 has been started for you.

    [2]

FreeMathWorksheet · TN-MATH-GR4-43755 · v3.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 2 of 4

FreeMathWorksheet · Grade 4 Math

Properties of Triangles

Independent Practice

Bloom: Apply · 10 marks

No scaffolding. Set out your full method.

  1. 1.Determine part 1 on properties of triangles without help.

    [2]
  2. 2.Solve part 2 on properties of triangles without help.

    [2]
  3. 3.Determine part 3 on properties of triangles without help.

    [2]
  4. 4.Work out fully part 4 on properties of triangles without help.

    [2]
  5. 5.Determine part 5 on properties of triangles without help.

    [2]

Challenge Questions

Bloom: Analyse · 9 marks

Harder items. Attempt every one, even partially.

  1. 1.Prove the statement in part 1 about properties of triangles.

    [3]
  2. 2.Prove the statement in part 2 about properties of triangles.

    [3]
  3. 3.Prove the statement in part 3 about properties of triangles.

    [3]

FreeMathWorksheet · TN-MATH-GR4-43755 · v3.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 3 of 4

FreeMathWorksheet · Grade 4 Math

Properties of Triangles

Real-life Application

Bloom: Apply · 6 marks

Use the skill in context. State units in your answer.

  1. 1.Use the information to decide a real math situation that depends on properties of triangles.

    [3]
  2. 2.Apply a real math situation that depends on properties of triangles.

    [3]

Reflection

Bloom: Create · 0 marks

Not marked. Answer honestly — this guides your next worksheet.

  1. 1.Record how confident you feel with properties of triangles and what you will practise next.

    [—]
  2. 2.Reflect on how confident you feel with properties of triangles and what you will practise next.

    [—]

FreeMathWorksheet · TN-MATH-GR4-43755 · v3.-3

© 2026 FreeMathWorksheet. Licensed for classroom and home use. Redistribution or resale is not permitted.

Page 4 of 4