A closed polygon which has 4 sides is called a quadrilateral. Try to drag the points on the polygons in this activity to illustrate the different types of quadrilaterals listed below? The top one is done for you.
Is a square a rectangle? Why or why not?
Yes, a square is a rectangle because it also has four congruent angles, and two pairs of parallel sides.
Is a rectangle a square? Why or why not?
No, a square has four congruent angles, and four congruent sides. A rectangle does not have four congruent sides.
Is a square a rhombus? Why or why not?
Yes, a square is a rhombus because it also has four congruent sides, and two pairs of parallel sides.
Is a rhombus a parallelogram?
Yes, a rhombus is a parallelogram as it also has two pairs of parallel sides.
Is a square a parallelogram? Why or why not?
Yes, a square is a parallelogram because it also has two pairs of parallel sides.
Is a square a quadrilateral? Why or why not?
Yes, a square is a quadrilateral because it is a four sided shape.
Is a trapezium a parallelogram?
No, a trapezium is not a parallelogram because a trapezium only has one pair of parallel sides, whilst a parallelogram needs to have two pairs of parallel sides.