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Maths · Grade 5 · Set B
Which Family Is It?
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B
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Goal: 15 min
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Remember: A family's facts belong to every shape inside it. A square is a rectangle, a rhombus and a parallelogram.

Facts move down the tree

1
Is every square a rhombus?
YesNo
2
Circle the shape that must have four equal sides and four right angles.
rectangle
trapezoid
square
rhombus
3
A rhombus has equal sides.
4
Circle every statement that is true.
Every square is a parallelogram.Every trapezoid is a rectangle.Every rectangle is a quadrilateral.Every parallelogram is a square.
5
Join each shape to the facts that make it that shape.
  1. 1square
  2. 2rectangle
  3. 3rhombus
  4. 4parallelogram
  • A2 pairs of parallel sides
  • B4 equal sides and 4 right angles
  • C4 equal sides
  • D4 right angles
6
What is the smallest family that holds both a square and a rectangle?
rectangleparallelogramquadrilateralrhombus

Sort the shapes

7
A rectangle with four equal sides is a square.
TrueFalse
8
Every rectangle is a rhombus.
TrueFalse
9
Every quadrilateral has sides.
10
This shape has four right angles and two pairs of parallel sides, but its sides are not all equal. Which shape is it?
squarerectanglerhombusparallelogram
11
Number the families from the smallest family (1) to the biggest (4).
  • quadrilateral
  • parallelogram
  • rectangle
  • square
12
Whatever is true for every parallelogram is also true for every rectangle.
TrueFalse
13
Tell a friend why a square is also a rectangle.
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Answer key · Set B
Which Family Is It?
1Yes A square has four equal sides, and four equal sides is what makes a rhombus. So a square is a rhombus.
2square A rectangle's sides need not be equal and a rhombus's angles need not be right angles. Only a square has both.
34 A rhombus is a shape with four equal sides.
4Every square is a parallelogram., Every rectangle is a quadrilateral. A square has two pairs of parallel sides, and a rectangle has four sides. But a trapezoid is not a rectangle, and a parallelogram can lean.
51-B, 2-D, 3-C, 4-A Each family adds the facts that define it, and a square has them all.
6rectangle Every square is a rectangle, so the rectangle family already holds both. A bigger family holds them too, but it is not the smallest.
7True A square is a rectangle whose four sides are equal.
8False A rhombus needs four equal sides. This rectangle has sides 6 and 3.
94 Quad means four. A quadrilateral has four sides.
10rectangle Four right angles with sides that are not all equal is a rectangle that is not a square.
114, 3, 2, 1 Squares sit inside rectangles, rectangles inside parallelograms and parallelograms inside quadrilaterals.
12True Every rectangle is a parallelogram, so the facts of the bigger family pass down to the rectangle.
13Your own words: a grown-up reads it.
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