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Classifying Triangles Worksheets - Math Monks - Free Printable

Classifying Triangles Worksheets - Math Monks

Educational worksheet: Classifying Triangles Worksheets - Math Monks. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Classifying Triangles Worksheets - Math Monks
Let’s go through each triangle one by one, using the clues in the drawing (like tick marks on sides or angle symbols) to figure out what kind of triangle it is.

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Triangle 1:
- All three sides have a single tick mark → that means all three sides are equal.
- If all sides are equal → it’s equilateral.
→ Answer: b) equilateral

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Triangle 2:
- Two sides have tick marks → those two sides are equal.
- One angle has a square symbol → that’s a right angle (90°).
- But the question asks for name “based on sides” → so we ignore the angle for now.
- Two equal sides → isosceles.
→ Answer: a) isosceles

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Triangle 3:
- Two sides have tick marks → two sides equal.
- Also, two angles have arcs → those two angles are equal (which matches isosceles).
→ Answer: a) isosceles

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Triangle 4:
- No tick marks on any side → all sides different lengths.
- That makes it scalene.
→ Answer: c) scalene

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Now let’s do the “Based on angles” section.

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Triangle 5:
- All three angles have arc marks → all angles are equal.
- In a triangle, if all angles are equal, each must be 60° → that’s an equiangular triangle.
- Also, since all angles are less than 90°, it’s also acute — but “equiangular” is more specific and listed as an option.
→ Answer: d) equiangular

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Triangle 6:
- All three sides have tick marks → all sides equal → so all angles are also equal → each 60° → again, equiangular.
- Wait — look at the options: they include “equiangular” as d).
- Even though it says “based on angles”, the triangle is equilateral too, which means equiangular.
→ Answer: d) equiangular

*(Note: The options here seem mixed — “scalene” and “obtuse” don’t fit. Since all sides are equal, all angles are 60° → definitely equiangular.)*

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Triangle 7:
- Has a square symbol in one corner → that’s a right angle (90°).
→ So it’s a right triangle.
→ Answer: d) right

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Triangle 8:
- One angle has an arc, and it looks wider than the others — probably greater than 90°.
- Let’s check: if one angle is obtuse (>90°), then it’s an obtuse triangle.
- The other two angles look small → yes, this fits.
→ Answer: c) obtuse

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Final Answers:

1. b) equilateral
2. a) isosceles
3. a) isosceles
4. c) scalene
5. d) equiangular
6. d) equiangular
7. d) right
8. c) obtuse

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Final Answer:
1. b
2. a
3. a
4. c
5. d
6. d
7. d
8. c
Parent Tip: Review the logic above to help your child master the concept of triangles worksheet.
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