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Worksheet: Proving That a Quadrilateral Is a Square

Q1:

Can a rhombus be a square?

  • Ayes
  • Bno

Q2:

A quadrilateral has vertices at the points ( 2 , 1 ) , ( 3 , 3 ) , ( 5 , 2 ) , and ( 4 , 0 ) . By determining the lengths of the quadrilateral’s sides, and considering the gradients of the intersecting lines, what is the name of the quadrilateral?

  • A rhombus
  • B rectangle
  • C parallelogram
  • D square
  • Etrapezium

Q3:

Name the polygon that can be graphed in the coordinate plane with vertices at ( 2 , 3 ) , ( 3 , 3 ) , ( 3 , 1 ) , and ( 2 , 1 ) .

  • A Triangle
  • B Rhombus
  • C Square
  • D Rectangle

Q4:

Is this quadrilateral a square?

  • AYes
  • BNo

Q5:

A quadrilateral has vertices at the points ( 2 , 1 ) , ( 3 , 3 ) , ( 6 , 1 ) , and ( 5 , 1 ) . By determining the lengths of the quadrilateral’s sides, and considering the slope of the intersecting lines, what is the name of the quadrilateral?

  • A rhombus
  • B rectangle
  • C parallelogram
  • D square
  • Etrapezium

Q6:

Determine whether the following statement is sometimes, always, or never true: A square is a rhombus.

  • A never true
  • B sometimes true
  • C always true

Q7:

Determine whether this statement is true or false: All rectangles are squares.

  • Afalse
  • Btrue

Q8:

Is this quadrilateral a square?

  • ANo
  • BYes

Q9:

In which quadrilateral are the diagonals perpendicular and equal in length?

  • Arhombus
  • Brectangle
  • Csquare