Identify and Draw Lines of Symmetry - 4th Grade Math
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Identify the number of lines of symmetry in a regular octagon.
Identify the number of lines of symmetry in a regular octagon.
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$8$. Regular $n$-gons have $n$ lines of symmetry.
$8$. Regular $n$-gons have $n$ lines of symmetry.
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Identify whether a figure is symmetric if it has exactly $1$ line of symmetry.
Identify whether a figure is symmetric if it has exactly $1$ line of symmetry.
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Yes; it has line symmetry. Any figure with at least one line of symmetry is symmetric.
Yes; it has line symmetry. Any figure with at least one line of symmetry is symmetric.
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Identify the line of symmetry in a non-square rectangle: through midpoints of which sides?
Identify the line of symmetry in a non-square rectangle: through midpoints of which sides?
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Through midpoints of opposite sides (both directions). These are the only lines that create equal halves in rectangles.
Through midpoints of opposite sides (both directions). These are the only lines that create equal halves in rectangles.
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Identify the number of lines of symmetry in an isosceles triangle (not equilateral).
Identify the number of lines of symmetry in an isosceles triangle (not equilateral).
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$1$. Only the line from the vertex angle to the base midpoint creates symmetry.
$1$. Only the line from the vertex angle to the base midpoint creates symmetry.
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Identify the number of lines of symmetry in a semicircle (including the diameter).
Identify the number of lines of symmetry in a semicircle (including the diameter).
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$1$. Only the diameter creates two matching half-circles.
$1$. Only the diameter creates two matching half-circles.
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Identify the number of lines of symmetry in a rhombus that is not a square.
Identify the number of lines of symmetry in a rhombus that is not a square.
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- Both diagonals create matching halves.
- Both diagonals create matching halves.
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Which line is a symmetry line for any rectangle: the line through midpoints of left and right sides or a diagonal?
Which line is a symmetry line for any rectangle: the line through midpoints of left and right sides or a diagonal?
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The line through midpoints of left and right sides. Diagonals don't create matching halves in rectangles.
The line through midpoints of left and right sides. Diagonals don't create matching halves in rectangles.
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Identify the number of lines of symmetry in a parallelogram that is not a rectangle or rhombus.
Identify the number of lines of symmetry in a parallelogram that is not a rectangle or rhombus.
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- Opposite sides parallel but no perpendicular symmetry.
- Opposite sides parallel but no perpendicular symmetry.
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Identify the number of lines of symmetry in a kite that is not a rhombus.
Identify the number of lines of symmetry in a kite that is not a rhombus.
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- Only the line through both pairs of opposite vertices.
- Only the line through both pairs of opposite vertices.
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Identify the number of lines of symmetry in a regular hexagon.
Identify the number of lines of symmetry in a regular hexagon.
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- Regular polygons have one line per vertex.
- Regular polygons have one line per vertex.
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Identify the number of lines of symmetry in a regular pentagon.
Identify the number of lines of symmetry in a regular pentagon.
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- Regular polygons have one line per vertex.
- Regular polygons have one line per vertex.
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Identify the number of lines of symmetry in a scalene triangle.
Identify the number of lines of symmetry in a scalene triangle.
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- All sides different, so no matching halves possible.
- All sides different, so no matching halves possible.
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Identify the number of lines of symmetry in an isosceles triangle that is not equilateral.
Identify the number of lines of symmetry in an isosceles triangle that is not equilateral.
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- Only from vertex between equal sides to opposite midpoint.
- Only from vertex between equal sides to opposite midpoint.
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Identify the number of lines of symmetry in an equilateral triangle.
Identify the number of lines of symmetry in an equilateral triangle.
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- One from each vertex to opposite side's midpoint.
- One from each vertex to opposite side's midpoint.
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Identify the number of lines of symmetry in a circle.
Identify the number of lines of symmetry in a circle.
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Infinitely many. Every line through the center creates matching halves.
Infinitely many. Every line through the center creates matching halves.
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Identify the number of lines of symmetry in a rectangle that is not a square.
Identify the number of lines of symmetry in a rectangle that is not a square.
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- One horizontal and one vertical through center.
- One horizontal and one vertical through center.
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Identify the number of lines of symmetry in a square.
Identify the number of lines of symmetry in a square.
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- Two diagonals and two lines through opposite side midpoints.
- Two diagonals and two lines through opposite side midpoints.
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Which term names a figure that has at least one line of symmetry?
Which term names a figure that has at least one line of symmetry?
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Line-symmetric. Describes any figure with one or more symmetry lines.
Line-symmetric. Describes any figure with one or more symmetry lines.
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What must be true when a figure is folded along a line of symmetry?
What must be true when a figure is folded along a line of symmetry?
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Both halves match exactly and overlap completely. The folded parts must be identical mirror images.
Both halves match exactly and overlap completely. The folded parts must be identical mirror images.
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What is a line of symmetry for a two-dimensional figure?
What is a line of symmetry for a two-dimensional figure?
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A line that divides a figure into two matching foldable halves. Creates two identical parts that match when folded.
A line that divides a figure into two matching foldable halves. Creates two identical parts that match when folded.
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