Standard Mathematics Primary 4 Symmetry

Mrs Lim shows her class four shapes cut from cardboard and asks: "Which of these shapes has at least one line of symmetry?" Which shape should the class choose?

A An equilateral triangle
B A scalene triangle
C A parallelogram with no right angles
D A trapezium with two unequal non-parallel sides of different lengths
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Worked Solution

Step 1: Check the equilateral triangle. All 3 sides are equal and all 3 angles are 60°. A fold through any vertex and the midpoint of the opposite side produces two matching halves. An equilateral triangle has 3 lines of symmetry. Step 2: Check the scalene triangle. All 3 sides are different lengths. No fold produces two matching halves. 0 lines of symmetry. Step 3: Check the parallelogram (no right angles). It has rotational but not reflective symmetry. 0 lines of symmetry. Step 4: Check the irregular trapezium. The two non-parallel sides are of different lengths, so no fold matches both halves. 0 lines of symmetry. Answer: An equilateral triangle.

Correct answer: An equilateral triangle

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