Lesson Worksheet: Rhombi and Squares Mathematics

In this worksheet, we will practice identifying whether a parallelogram is a rhombus, square, or rectangle and using the properties of each of them to solve problems.


Is the sum of two consecutive angles in squares and rhombuses equal to 180?

  • ANo
  • BYes


In the given rhombus 𝐴𝐵𝐶𝐷, 𝐷𝐵=6𝑥8 and 𝑃𝐵=2𝑥+9. Find the length of 𝑃𝐷.


In a rhombus 𝐹𝐺𝐻𝐽, 𝑚𝐽𝐹𝐾=(3𝑦+6) and 𝑚𝐾𝐹𝐺=(7𝑦14). Find the value of 𝑦.


What is the name for a rhombus in which one of the angles is a right angle?

  • Aa square
  • Ba rectangle
  • Ca triangle


In the given rhombus 𝐴𝐵𝐶𝐷, 𝑚𝐴𝐵𝐶=(4𝑥+13) and 𝑚𝐵𝐶𝐷=(9𝑥+11). Find 𝑚𝐷𝐴𝐵.


Are the angles in a rhombus right angles?

  • ANo
  • BYes


A rhombus is a square if its are equal in length.

  • Adiagonals
  • Bsides


In the given rhombus 𝐹𝐺𝐻𝐽, 𝑚𝐹𝐽𝐻=57. Find 𝑚𝐾𝐻𝐽.


𝐴𝐵𝐶𝐷 is a rhombus. If 𝑚𝐷𝑃𝐶=(2𝑥+22), find the value of 𝑥.


Calculate the perimeter of rhombus 𝐴𝐵𝐶𝐷, and 𝑚𝐵.

  • A18 cm, 61
  • B36 cm, 61
  • C36 cm, 119
  • D18 cm, 119

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