Classifying shapes by properties

Question 1

Which shape can be classified in the same group as a rectangle because it has four sides and four right angles?

Accepted Answer

square

Answer

circle

Answer

triangle

Answer

rhombus

Question 2

Mia draws a shape that has four sides of the same length and four right angles. She calls it a rectangle. Which statement correctly explains why Mia’s shape can be called both a rectangle and a square, and why not every rectangle is a square?

Accepted Answer

A rectangle is any quadrilateral with four right angles; a square has four right angles and also has all sides equal, so every square meets the rectangle definition, but a rectangle does not have to have all sides equal.

Answer

A rectangle must have one pair of longer sides and one pair of shorter sides, so a shape with all sides the same length cannot be a rectangle.

Answer

All rectangles have sides that are parallel, and only squares have parallel sides, so a rectangle cannot be a square.

Answer

Because the diagonals of a rectangle are always different lengths, a shape with equal diagonals like a square cannot be a rectangle.

Question 3

Which of the following two‑dimensional figures is a quadrilateral that is both a rectangle and a rhombus?

Accepted Answer

square

Answer

rhombus

Answer

rectangle

Answer

kite

Try three questions

Which shape can be classified in the same group as a rectangle because it has four sides and four right angles?

Mia draws a shape that has four sides of the same length and four right angles. She calls it a rectangle. Which statement correctly explains why Mia’s shape can be called both a rectangle and a square, and why not every rectangle is a square?

Which of the following two‑dimensional figures is a quadrilateral that is both a rectangle and a rhombus?

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