Theorems on Square

• Square


  A figure where all four sides are congruent and all four angles are right angles (90 degrees)
• Square


  • All four sides are congruent
  • All four angles are right angles (90 degrees)
• Rhombus


  A figure where all four sides are congruent and the opposite angles are equal
• Rhombus


  • All four sides are congruent
  • All four angles are right angles (90 degrees)
• Rectangle


  A figure where all four angles are right angles (90 degrees)
• Rectangle


  • All four angles are right angles (90 degrees)
• Diagonals of a square

  • Perpendicular to each other
  • Bisect each other
  • Bisect the angles at each vertex
  • Congruent
• Diagonals of a square form two congruent isosceles right triangles
• Consecutive angles in a square are supplementary (sum to 180 degrees)
• In a square, the diagonals are congruent and perpendicular to each other
• In a square, the diagonals bisect the angles at each vertex
• In a square, the diagonals form congruent isosceles right triangles
• In a square, the diagonals are perpendicular to each other
• Angle 1 in a square is 45 degrees
• Angle 2 in a square is 90 degrees
• Finding the value of m

  1. 3m + 5 = 2(m + 15)

  2. Solve for m
• The length of diagonal RC is 80
• The length of diagonal AB is 40
• The measure of angle INI is 90 degrees
• The measure of angle FSI is 90 degrees
• The measure of angle IES is 90 degrees
• The length of diagonal IE is 60
• The measure of angle Y is 90 degrees
• The measure of angle X is 45 degrees
• The measure of angle C is 45 degrees
• Finding the value of x

  1. 3x + 9 = 90

  2. Solve for x
• The length of diagonal EI is 40