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Triangle Classification Worksheet

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Triangle Classification Worksheet

Various triangles showing different angle and side classifications

📐 Part 1: Classification by Angles

WALT: We Are Learning To classify triangles by their angles: acute, right, and obtuse.

Success Criteria: I can identify and name acute, right, and obtuse angles in triangles and use correct mathematical vocabulary.

1. Look at the angle measurements below. Classify each triangle by its angles.

Triangle A: Angles: 55°, 65°, 60°

Classification: _________________ (acute/right/obtuse)

Triangle B: Angles: 90°, 45°, 45°

Classification: _________________ (acute/right/obtuse)

Triangle C: Angles: 100°, 40°, 40°

Classification: _________________ (acute/right/obtuse)

2. Circle the correct definition for each triangle type:

Acute Triangle:

Has one angle greater than 90°

All angles are less than 90°

Has one angle equal to 90°

Right Triangle:

Has one angle equal to 90°

All angles are equal

Has one angle greater than 90°

3. True or False: An obtuse triangle has one angle greater than 90°.

True

False

📏 Part 2: Classification by Sides

WALT: We Are Learning To classify triangles by their sides: equilateral, isosceles, and scalene.

Success Criteria: I can identify triangles by side lengths and know key angle properties.

4. Use the side measurements to classify each triangle by its sides.

Triangle D: Sides: 6cm, 6cm, 6cm

Classification: _________________ (equilateral/isosceles/scalene)

All angles are: _______°

Triangle E: Sides: 5cm, 5cm, 7cm

Classification: _________________ (equilateral/isosceles/scalene)

The two equal angles are called: _________ angles

Triangle F: Sides: 4cm, 5cm, 6cm

Classification: _________________ (equilateral/isosceles/scalene)

5. Match the triangle type with its properties. Draw lines to connect them.
Equilateral
Isosceles
Scalene
All sides different lengths
Two sides equal length
All sides equal length
6. Extension Challenge: If an isosceles triangle has a top angle of 80°, what are the two base angles?

🎯 Part 3: Apply Your Knowledge

7. A triangle can be classified by BOTH angles and sides. Complete the table:

Example: A triangle with sides 3cm, 4cm, 5cm and angles 90°, 53°, 37°

Classification by angles: ________________

Classification by sides: ________________

8. Explain in your own words: Why can't a triangle have two right angles?
9. Draw and label an example of each type in the boxes below:

Acute Scalene Triangle:

Right Isosceles Triangle:

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