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Worksheet: Properties of Squares and Their Applications

Q1:

Name the quadrilaterals that have two pairs of parallel sides.

  • Arectangles, trapezoids, and parallelograms
  • Bsquares, rectangles, trapezoids, and parallelograms
  • Ctrapezoids and parallelograms
  • Dsquares, rectangles, rhombuses, and parallelograms
  • Esquares, trapezoids, and parallelograms

Q2:

Are the two diagonals of a square perpendicular?

  • Ayes
  • Bno

Q3:

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

  • Ayes
  • Bno

Q4:

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

  • Aa triangle
  • Ba rectangle
  • Ca square

Q5:

Which of the following statements must be true about a square?

  • AIt has four sides of equal length.
  • BIt has two pairs of parallel opposite sides.
  • CIt has four right angles.
  • DAll these statements are true.

Q6:

is a square. What is the ratio of the lengths : ?

  • A :
  • B :
  • C :
  • D :

Q7:

is a square. What is the ratio of the lengths : ?

  • A :
  • B :
  • C :
  • D :

Q8:

In the square of the figure, is 160 cm long, what is the length of ?

Q9:

In the square of the figure, is 304 cm long, what is the length of ?

Q10:

Find the perimeter of the square below, and determine if .

  • A 240 cm,
  • B 120 cm,
  • C 120 cm,
  • D 240 cm,

Q11:

Given that is a square, find, in degrees, the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q12:

Given that is a square, find, in degrees, the values of and .

  • A ,
  • B ,
  • C ,
  • D ,

Q13:

is a square. Find the area of .

Q14:

is a square. Find the area of .

Q15:

In the square the points are collinear. Given that , find .

  • A
  • B
  • C
  • D

Q16:

In the square the points are collinear. Given that , find .

  • A
  • B
  • C
  • D

Q17:

Given that is a square and , find .

  • A
  • B
  • C
  • D

Q18:

Given that is a square whose perimeter is 232 cm, find the lengths of and . Then find area of .

  • A , , area of
  • B , , area of
  • C , , area of
  • D , , area of
  • E , , area of