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Classifying Triangles by Angle and Side Properties (Marks Included ... - Free Printable

Classifying Triangles by Angle and Side Properties (Marks Included ...

Educational worksheet: Classifying Triangles by Angle and Side Properties (Marks Included .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Classifying Triangles by Angle and Side Properties (Marks Included ...
To classify each triangle, we look at two things:
1. Angles – Are all angles less than 90°? (acute) Is one angle exactly 90°? (right) Is one angle greater than 90°? (obtuse)
2. Sides – Are all sides different? (scalene) Are two sides equal? (isosceles) Are all three sides equal? (equilateral)

Let’s go one by one:

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Triangle 1:
- One angle is marked with a square → that’s a right angle (90°).
- All sides look different → scalene.
Right Scalene

Triangle 2:
- One angle is wide and open → looks greater than 90° → obtuse.
- All sides look different → scalene.
Obtuse Scalene

Triangle 3:
- Has a square mark → right angle.
- Two sides are equal? Wait — no, only one side has a tick, but actually, looking again: it’s a right triangle with legs of different lengths → scalene.
Wait — correction: In triangle 3, the two legs are not marked equal, so it’s scalene.
Right Scalene

Triangle 4:
- Has a square → right angle.
- Two sides have matching tick marks → those sides are equal → isosceles.
Right Isosceles

Triangle 5:
- No right or obtuse angle → all angles < 90° → acute.
- All three sides have tick marks → all sides equal → equilateral.
Acute Equilateral

Triangle 6:
- Looks like all angles are less than 90° → acute.
- All sides look different → scalene.
Acute Scalene

Triangle 7:
- All sides have tick marks → all equal → equilateral.
- Equilateral triangles always have 60° angles → acute.
Acute Equilateral

Triangle 8:
- One angle is very wide → greater than 90° → obtuse.
- All sides different → scalene.
Obtuse Scalene

Triangle 9:
- All angles look less than 90° → acute.
- Two sides have tick marks → isosceles.
Acute Isosceles

Triangle 10:
- All angles < 90° → acute.
- Two sides have tick marks → isosceles.
Acute Isosceles

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Final Answer:
1. Right Scalene
2. Obtuse Scalene
3. Right Scalene
4. Right Isosceles
5. Acute Equilateral
6. Acute Scalene
7. Acute Equilateral
8. Obtuse Scalene
9. Acute Isosceles
10. Acute Isosceles
Parent Tip: Review the logic above to help your child master the concept of properties of triangles worksheet.
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