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Geometric Sense
Lesson 11
Properties and Relationships
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 > Practice: 1 | 2 | 3 | 4 | 5 > Reflection

Example 1:

Which of the following sets of figures are quadrilaterals?

  1. square, circle, rhombus
  2. hexagon, parallelogram, rectangle
  3. parallelogram, square, trapezoid
  4. triangle, rectangle, rhombus

To answer this problem you want to begin by knowing for sure what a quadrilateral is. A quadrilateral is a 4-sided polygon. This means that a circle isn't a quadrilateral and neither is a triangle by definition. There are even others, but let's go through each choice and find the one that has all quadrilaterals.

  • Choice A can be eliminated right away as a circle is not a quadrilateral.
  • Choice B can be eliminated because a hexagon isn't a quadrilateral. Remember why? A hexagon has 6 sides while a quadrilateral only has 4 sides.
  • Choice C has all quadrilaterals as the parallelogram and square are easy to see being quadrilaterals. Remember that a trapezoid has four sides as well so therefore is a quadrilateral. Looks like this could be our best answer. But we need to check the last choice to make sure.
  • Choice D can be eliminated as a triangle only has three sides therefore isn't a quadrilateral.

Our answer for this problem is letter C.

Example 2 >>

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