Grade 4 students investigate lines of symmetry in classified triangles in this worksheet. Learners discover that equilateral triangles have 3 lines, isosceles triangles have 1, and scalene triangles have 0, then explain why symmetry depends on congruent sides. Multiple choice and fill in the blank tasks ask students to count lines of symmetry and reason about how side congruence connects to symmetry properties of every classified triangle.
Style:
Classifying Triangles
Part A: Multiple Choice
Circle the best answer for each question.
1. How many lines of symmetry does an equilateral triangle have?
A) 0
B) 1
C) 2
D) 3
2. How many lines of symmetry does an isosceles triangle have?
A) 0
B) 1
C) 2
D) 3
3. How many lines of symmetry does a scalene triangle have?
A) 0
B) 1
C) 2
D) 3
4. Why does an equilateral triangle have more lines of symmetry than a scalene triangle?
A) Equilateral has three congruent sides while scalene has none
B) Scalene triangles always have right angles
C) Equilateral triangles only have one congruent side
D) Scalene triangles have three lines of symmetry
Part B: Fill in the Blank
Write the correct answer on each line.
1. An equilateral triangle has 3 lines of symmetry.
2. An isosceles triangle has 1 line(s) of symmetry.
3. A scalene triangle has 0 line(s) of symmetry.
4. A triangle has lines of symmetry only along sides that are congruent in length.
5. An equilateral triangle's three lines of symmetry each pass through one vertex and the midpoint of the opposite side.
Classifying Triangles
★ Part A: Multiple Choice
Circle the best answer for each question.
1. How many lines of symmetry does an equilateral triangle have?
A) 0
B) 1
C) 2
D) 3
2. How many lines of symmetry does an isosceles triangle have?
A) 0
B) 1
C) 2
D) 3
3. How many lines of symmetry does a scalene triangle have?
A) 0
B) 1
C) 2
D) 3
4. Why does an equilateral triangle have more lines of symmetry than a scalene triangle?
A) Equilateral has three congruent sides while scalene has none
B) Scalene triangles always have right angles
C) Equilateral triangles only have one congruent side
D) Scalene triangles have three lines of symmetry
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) An equilateral triangle has 3 lines of symmetry.
2) An isosceles triangle has 1 line(s) of symmetry.
3) A scalene triangle has 0 line(s) of symmetry.
4) A triangle has lines of symmetry only along sides that are congruent in length.
5) An equilateral triangle's three lines of symmetry each pass through one vertex and the midpoint of the opposite side.
Ready to Practice?
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9 Questions
12-18 minutes
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