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Maths · Grade 4 · Set C
Sorting by two rules
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C
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Goal: 15 min
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Remember: Sort a shape by its sides (parallel, perpendicular) and by its angles (right, acute, obtuse). A shape can belong to more than one group.

Sides and corners

1
What is true of the sides of this kite?
parallel onlyperpendicular onlybothneither
2
Which shape has exactly 2 right angles?
A
B
C
3
A square is also a rectangle, because it has 4 right angles and 2 pairs of parallel sides.
TrueFalse
4
This rhombus has 4 right angles.
TrueFalse
5
Which shape has a right angle AND a pair of parallel sides?
A
B
C

Triangles and thinking

6
How many of this triangle's angles are acute?
7
What kind of triangle is it?
an acute trianglea right trianglean obtuse triangle
8
Circle every shape that has no right angle.
A
B
C
D
E
9
I have 4 sides and 2 pairs of parallel sides. All my sides are equal. I have no right angles. Which shape am I?
A
B
C
10
Join each shape to what is true.
  1. 1right triangle
  2. 2obtuse triangle
  3. 3acute triangle
  4. 4trapezoid
  • Ahas 3 angles narrower than a square corner
  • Bhas one pair of parallel sides
  • Chas 1 right angle
  • Dhas 1 angle wider than a square corner
11
Put the shapes in order from the fewest right angles to the most right angles.
  • right triangle
  • right trapezoid
  • rhombus
  • rectangle
12
Tell how a rectangle and a right trapezoid are alike and how they are different.
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Answer key · Set C
Sorting by two rules
1neither No two sides run the same way, and no corner is a square corner. So it is neither.
2B Shape B has square corners at the left, top and bottom, which is 2 corners. The rectangle has 4 and the triangle has 1.
3True A rectangle is a shape with 4 right angles. A square has 4 right angles, so it is a rectangle too.
4False Its corners are not square corners. It has two wide corners and two narrow ones.
5C The rectangle has both. The rhombus has parallel sides but no right angle. The right triangle has a right angle but no parallel sides.
63 All three corners are narrower than a square corner, so all 3 angles are acute.
7an obtuse triangle The top corner is much wider than a square corner, so it is an obtuse triangle.
8B, C, E The triangle, the rhombus and the pentagon have no square corners. The square and the rectangle have 4 each.
9C A rhombus has 4 equal sides and 2 pairs of parallel sides. A rectangle has right angles and a trapezoid has only one pair of parallel sides.
101-C, 2-D, 3-A, 4-B
112, 3, 1, 4 A rhombus has 0, a right triangle has 1, a right trapezoid has 2 and a rectangle has 4.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.