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Maths · Grade 5 · Set A
The Shape Family Tree
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A
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Goal: 15 min
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Remember: A family's facts belong to every shape inside it. Facts pass down the tree, never up.

Facts move down the tree

1
Every rectangle has right angles.
2
Is every parallelogram a rectangle?
YesNo
3
Circle every shape that is a quadrilateral.
square
triangle
trapezoid
hexagon
rectangle
4
Every square is a rectangle.
TrueFalse
5
Is every rhombus a square?
YesNo
6
Every rectangle has four right angles. Which of these shapes must also have four right angles?
a squarea rhombusa parallelograma trapezoid
7
What is the smallest family that holds both a square and a rhombus?
a quadrilaterala parallelograma rhombusa rectangle
8
What is the smallest family that holds both a rectangle and a rhombus?
a quadrilaterala parallelograma squarea rectangle
9
Join each family to the fact that defines it.
  1. 1quadrilateral
  2. 2parallelogram
  3. 3rectangle
  4. 4rhombus
  • A4 right angles
  • B2 pairs of parallel sides
  • Cexactly 4 sides
  • D4 equal sides
10
Number the families from the biggest family (1) to the smallest (4).
  • square
  • quadrilateral
  • parallelogram
  • rectangle
11
Facts pass up the tree: every parallelogram has all the facts of a rectangle.
TrueFalse
12
Write one fact that a square gets from the rectangle family and one it gets from the rhombus family.
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Answer key · Set A
The Shape Family Tree
14 A rectangle is a four-sided shape with four right angles.
2No A parallelogram can lean. Only the ones with four right angles are rectangles.
3square, trapezoid, rectangle A quadrilateral has exactly four sides. A triangle has 3 and a hexagon has 6.
4True A square has four right angles, so it has every fact a rectangle has.
5No A rhombus has four equal sides, but its angles may lean. A square also needs four right angles.
6a square A square is a kind of rectangle, so the rectangle's facts pass down to it.
7a rhombus Every square is a rhombus, so the rhombus family already holds both. A rectangle does not hold every rhombus.
8a parallelogram They share four sides and two pairs of parallel sides. A parallelogram has just those facts.
91-C, 2-B, 3-A, 4-D Each family adds one defining fact.
104, 1, 2, 3 A square sits inside the rectangles, which sit inside the parallelograms, which sit inside the quadrilaterals.
11False Facts pass down to smaller families, never up to bigger ones.
12Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.