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Question 28

Think about how the names square and rectangle relate to each other. Select all the statements below that are true.

  1. Every square is a rectangle.Correct answer
  2. Every rectangle is a square.
  3. A rectangle whose sides are not all equal is not a square.Correct answer
  4. No square may be called a rectangle, since the two names describe different shapes.

Explanation

A square meets everything the wider name demands, four right angles and matching opposite sides, so it sits inside that family, while a shape from the wider family joins the narrower one only when its sides all agree. Turning the relationship round fails at once, because a shape measuring 10 centimetres by 4 centimetres has no pair of equal neighbouring sides.

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Question 28: Think about how the names square and rectangle relate to… · Geometry Basics · Questena