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.