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Maths · Grade 4 · Set B
Sorting shapes by sides and corners
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Remember: Parallel sides run the same way and never meet. Perpendicular sides meet at a right angle. Sort shapes by their sides and their angles.

Parallel sides and right angles

1
Does this shape have a right angle?
YesNo
2
Does this hexagon have a pair of parallel sides?
YesNo
3
Does this pentagon have a pair of parallel sides?
YesNo
4
What is true of the sides of this shape?
perpendicular onlyneitherparallel onlyboth
5
What is true of the sides of this four-sided shape?
neitherbothparallel onlyperpendicular only
6
What is true of the sides of this triangle?
bothperpendicular onlyparallel onlyneither

Triangles and shapes

7
Which one is a right triangle?
A
B
C
8
What kind of triangle is it?
a right trianglean obtuse trianglean acute triangle
9
Which shape has no right angle and no parallel sides?
A
B
C
10
How many pairs of parallel sides does this hexagon have?
three pairstwo pairsno pairs
11
Circle every shape that has at least one pair of parallel sides.
A
B
C
D
E
12
Join each shape to what is true.
  1. 1square
  2. 2right triangle
  3. 3hexagon
  4. 4pentagon
  • A1 right angle
  • Bno parallel sides
  • C3 pairs of parallel sides
  • D4 right angles
13
Tell how a square and a rhombus are alike and how they are different. Look at the sides and the angles.
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Answer key · Set B
Sorting shapes by sides and corners
1Yes The corner at the bottom left is a square corner, so it has a right angle.
2Yes Each side has a partner straight across that runs the same way, so it has parallel sides.
3No No two sides of this pentagon run the same way, so it has no parallel sides.
4parallel only Opposite sides run the same way, so there are parallel sides. No corner is a square corner, so no sides are perpendicular.
5both The top and bottom are parallel. The left side meets them at square corners, so it is perpendicular to them. It has both.
6perpendicular only Two sides meet at a square corner, so they are perpendicular. No two sides are parallel.
7B A right triangle has one square corner, even when it is turned. Triangles A and C have three narrow corners.
8an obtuse triangle The corner at the bottom left is wider than a square corner, so it is an obtuse triangle.
9C The square has right angles. The rhombus has parallel sides. The triangle has neither.
10three pairs Each of the 6 sides has a partner straight across. That makes 3 pairs.
11A, C, E The square, the trapezoid and the hexagon each have parallel sides. The triangle and the pentagon do not.
121-D, 2-A, 3-C, 4-B
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.