Attributes of Shapes At least 2 sides of equal length
At least 1 right angle
2 pairs of parallel sides

1 The table shows some attributes of shapes.
Which shapes always have all of the attributes shown in the table? Choose all the correct answers.
A squares B right triangles
C rectangles D isosceles triangles
E rhombuses F parallelograms

1. Equilateral triangles are a subcategory of isosceles triangles(Yes or No)
2.Right triangles are a subcategory of polygons.(Yes or No)
3.Polygons are a subcategory of parallelograms.(Yes or No)
4.Rectangles are a subcategory of parallelograms.(Yes or No)

3. Name one attribute that rhombuses and parallelograms always share.
Name an attribute they only sometimes share.


4 Draw a tree diagram or Venn diagram to show the hierarchy of the four categories. Rhombus square
Polygons Quadrilaterals


5 Robert uses the Venn diagram below to order quadrilaterals in a hierarchy.

Which statement best explains whether Robert’s Venn diagram is correct or not?
A It is not correct. Rectangles and squares are both parallelograms. Rectangles are a subcategory of squares.
B It is not correct. Rectangles and squares are both parallelograms. Squares are a subcategory of rectangles.
C It is correct. Squares and rectangles have all the attributes of parallelograms. Squares and rectangles do not share any other attributes.
D It is correct. Squares and rectangles have all the attributes of parallelograms. Squares and rectangles both have 4 right angles.