This sheet turns symmetry and diagonals into a real classification toolkit. You count symmetry lines on equilateral, isosceles, and scalene triangles (3, 1, and 0), tally diagonals in a pentagon (5) and a regular hexagon (9), and note that rhombus diagonals cross at right angles.
The matching task is the payoff: rectangle, rhombus, square, and parallelogram each get sorted by their distinct diagonal behavior — equal versus unequal, perpendicular versus not. Walking through those four side-by-side is what finally makes the quadrilateral family feel like a connected hierarchy instead of a list to memorize.
Style:
Classifying 2D Shapes
Part A: Fill in the Blank
Write the missing word or number on each line.
1. An equilateral triangle has 3 lines of symmetry.
2. The diagonals of a rhombus cross at right angles.
3. A scalene triangle has 0 line(s) of symmetry.
4. An isosceles triangle has exactly 1 line(s) of symmetry.
5. A quadrilateral has 2 diagonals.
6. The number of diagonals in a pentagon is 5.
7. A regular hexagon has 9 diagonals.
8. The diagonals of a square are equal in length and bisect each other at right angles.
9. An isosceles trapezoid has 1 line(s) of symmetry.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each shape to its diagonal property.
Rectangle
→ Diagonals are equal and bisect each other
Diagonals bisect each other but are unequal
Rhombus
→ Diagonals bisect at right angles but are unequal
Diagonals are equal and bisect at right angles
Square
→ Diagonals are equal and bisect at right angles
Diagonals are equal and bisect each other
Parallelogram
→ Diagonals bisect each other but are unequal
Diagonals bisect at right angles but are unequal
Classifying 2D Shapes
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) An equilateral triangle has 3 lines of symmetry.
2) The diagonals of a rhombus cross at right angles.
3) A scalene triangle has 0 line(s) of symmetry.
4) An isosceles triangle has exactly 1 line(s) of symmetry.
5) A quadrilateral has 2 diagonals.
6) The number of diagonals in a pentagon is 5.
7) A regular hexagon has 9 diagonals.
8) The diagonals of a square are equal in length and bisect each other at right angles.
9) An isosceles trapezoid has 1 line(s) of symmetry.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each shape to its diagonal property.
Rectangle
→ Diagonals are equal and bisect each other
Diagonals bisect each other but are unequal
Rhombus
→ Diagonals bisect at right angles but are unequal
Diagonals are equal and bisect at right angles
Square
→ Diagonals are equal and bisect at right angles
Diagonals are equal and bisect each other
Parallelogram
→ Diagonals bisect each other but are unequal
Diagonals bisect at right angles but are unequal
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