Worksheet: Properties of Rectangles

In this worksheet, we will practice solving problems using the properties of rectangles.

Q1:

Does the measure of any angle in a rectangle equal 45?

  • ANo
  • BYes

Q2:

In rectangle 𝑋𝑌𝑍𝐿, which side length is equal to 𝑌𝑍?

  • A 𝑌 𝐿
  • B 𝑋 𝐿
  • C 𝑋 𝑌

Q3:

In a rectangle 𝐴𝐵𝐶𝐷, which line is perpendicular to 𝐴𝐵?

  • A 𝐴 𝐶
  • B 𝐷 𝐶
  • C 𝐴 𝐷

Q4:

Are the opposite angles equal in rectangles and parallelograms?

  • Ayes
  • Bno

Q5:

A rectangle is a special type of parallelogram that has .

  • Aa right angle
  • Bfour equal sides
  • Ctwo perpendicular diagonals

Q6:

Is the sum of two consecutive angles in rectangles and parallelograms equal to 180?

  • Ano
  • Byes

Q7:

The two diagonals of a rectangle are .

  • Aequal in length
  • Bperpendicular
  • Cperpendicular and equal in length
  • Dparallel

Q8:

Are the angles in a rectangle right angles?

  • Ano
  • Byes

Q9:

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

  • AIt has four sides of equal length.
  • BIt has exactly one pair of parallel sides.
  • CIt has four congruent sides.
  • DIt has two pairs of parallel opposite sides and four right angles.

Q10:

Do the sides of a rectangle have to be equal in length?

  • Ayes
  • Bno

Q11:

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

  • Aa rectangle
  • Ba rhombus
  • Ca trapezium

Q12:

Are the opposite sides of a rectangle parallel?

  • ANo
  • BYes

Q13:

Determine the diagonal length of the rectangle whose perimeter is 326.4 cm and length is 115.2 cm.

Q14:

A rectangular park has two walking paths as shown. If 𝑃𝑆=100m and 𝑃𝑅=213m, find the length of 𝑄𝑇.

Q15:

Are the opposite angles in squares and rectangles equal?

  • Ayes
  • Bno

Q16:

In rectangle 𝑋𝑌𝑍𝐿, which side is perpendicular to 𝑌𝑍?

  • A 𝑍 𝑋
  • B 𝑍 𝐿
  • C 𝑋 𝐿

Q17:

The diagonals of a rectangle are and .

  • Aequal in length, bisect each other
  • Bperpendicular, bisect each other
  • Cequal in length, perpendicular
  • Dnot perpendicular, not equal in length

Q18:

In a rectangle, all angles are angles.

  • Aobtuse
  • Bright
  • Cacute

Q19:

Are the diagonals of a rectangle always perpendicular?

  • Ano
  • Byes

Q20:

Do the two diagonals of a rectangle or a square bisect each other?

  • Ano
  • Byes

Q21:

Is the rectangle a parallelogram?

  • Ayes
  • Bno

Q22:

A rectangle has sides of lengths 15 cm and 19 cm. Find the length of its diagonal.

  • A 5 8 6 cm
  • B 2 8 5 cm
  • C 2 1 7 cm
  • D 5 8 6 cm
  • E 2 8 5 cm

Q23:

Can a parallelogram be a rectangle?

  • Ayes
  • Bno

Q24:

Pick the statement that is true about ALL rectangles.

  • AA rectangle is an equilateral polygon.
  • BA rectangle is a parallelogram with 4 right angles.
  • CA rectangle is a regular quadrilateral.
  • DA rectangle is a rhombus with perpendicular sides.
  • EA rectangle is a parallelogram with 4 sides equal in length.

Q25:

In a rectangle 𝐴𝐵𝐶𝐷, which line has the same length as 𝐴𝐵?

  • A 𝐶 𝐷
  • B 𝐴 𝐶
  • C 𝐵 𝐶

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