Problem Description:
The task is to draw lines of symmetry on the given shapes. A line of symmetry divides a shape into two identical halves that are mirror images of each other. Some shapes may have more than one line of symmetry.
Solution:
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Step 1: Understand the concept of symmetry
- A line of symmetry is a line that divides a shape into two parts that are mirror images of each other.
- If you fold the shape along the line of symmetry, the two halves will match perfectly.
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Step 2: Analyze each shape and identify lines of symmetry
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Shape (a): Diamond (Rhombus)
- A diamond (rhombus) has
two lines of symmetry:
- One vertical line passing through the center.
- One horizontal line passing through the center.
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Shape (b): Bone
- The bone shape has
one line of symmetry:
- A vertical line passing through the center.
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Shape (c): Letter "T"
- The letter "T" has
one line of symmetry:
- A vertical line passing through the center.
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Shape (d): Christmas Tree
- The Christmas tree shape has
one line of symmetry:
- A vertical line passing through the center.
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Shape (e): Arrow
- The arrow shape has
one line of symmetry:
- A vertical line passing through the center.
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Shape (f): Octagon
- A regular octagon has
8 lines of symmetry:
- Four vertical/horizontal lines passing through opposite vertices and midpoints of opposite sides.
- Four diagonal lines passing through opposite vertices.
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Shape (g): Arrow (Pointing Left)
- This arrow shape has
one line of symmetry:
- A vertical line passing through the center.
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Shape (h): Letter "M"
- The letter "M" has
one line of symmetry:
- A vertical line passing through the center.
#####
Shape (i): Star
- A regular star (pentagram) has
5 lines of symmetry:
- Five lines passing through each vertex and the midpoint of the opposite side.
####
Step 3: Draw the lines of symmetry
For each shape, draw the identified lines of symmetry as straight lines.
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Final Answer:
-
(a): 2 lines of symmetry (vertical and horizontal).
-
(b): 1 line of symmetry (vertical).
-
(c): 1 line of symmetry (vertical).
-
(d): 1 line of symmetry (vertical).
-
(e): 1 line of symmetry (vertical).
-
(f): 8 lines of symmetry (4 vertical/horizontal, 4 diagonal).
-
(g): 1 line of symmetry (vertical).
-
(h): 1 line of symmetry (vertical).
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(i): 5 lines of symmetry (through vertices and midpoints).
$$
\boxed{
\text{Draw the lines as described above for each shape.}
}
$$
Parent Tip: Review the logic above to help your child master the concept of school worksheet grade 3.
