Understanding Categories of Two-Dimensional Figures

The table shows some attributes of shapes.

Which shapes always have ALL of the attributes shown in the table? Choose all correct answers.

• rhombuses

• right triangles

• squares

• parallelograms

• rectangles

Decide if the statement correctly describes the relationship between the categories.

"Equilateral triangles are a subcategory of isosceles triangle."

• Yes

• No

Decide if the statement correctly describes the relationship between the categories.

"Right triangles are a subcategory of polygons."

• Yes

• No

Decide if the statement correctly describes the relationship between the categories.

"Polygons are a subcategory of parallelograms."

• Yes

• No

Decide if the statement correctly describes the relationship between the categories.

"Rectangles are a subcategory of parallelograms."

• Yes

• No

Which of these attributes do rhombuses and parallelograms ALWAYS share?

• 2 pairs of parallel sides

• 4 sides of equal length

Which diagram correctly shows the hierarchy of the four categories below?

Rhombuses Squares Polygons Quadrilaterals

• 
• 
• 
• 

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?

• t is not correct. Rectangles and squares are both parallelograms. Rectangles are a subcategory of squares.

• It is not correct. Rectangles and squares are both parallelograms. Squares are a subcategory of rectangles.

• It is correct. Squares and rectangles have all the attributes of parallelograms.

  Squares and rectangles do not share any other attributes.

• It is correct. Squares and rectangles have all the attributes of parallelograms.

  Squares and rectangles both have 4 right angles.

Which of these attributes do squares and rectangles ALWAYS share?

• 4 sides of equal length

• 4 right angles