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Worksheet: Properties of Rectangles

Q1:

If , , , and , what values of and make parellelogram a rectangle?

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q2:

A rectangular park has two walking paths as shown. If 𝑃 𝑆 = 1 0 0 m and 𝑃 𝑅 = 2 1 3 m , find the length of 𝑄 𝑇 .

Q3:

Are the opposite angles equal in rectangles and parallelograms?

  • Ayes
  • Bno

Q4:

Are the opposite angles in squares and rectangles equal?

  • Ayes
  • Bno

Q5:

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

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

Q6:

In the figure below, given that 𝐴 𝐡 𝐢 𝐷 is a rectangle, 𝑂 𝐡 𝐢 𝐻 is a parallelogram, and 𝐴 𝑂 = 3 . 7 c m , find the length of 𝐻 𝐴 .

Q7:

A rectangle is a special type of parallelogram that has .

  • Afour equal sides
  • Btwo perpendicular diagonals
  • Ca right angle

Q8:

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

Q9:

In rectangle 𝑋 π‘Œ 𝑍 𝐿 , which side is perpendicular to π‘Œ 𝑍 ?

  • A 𝑍 𝑋
  • B 𝑋 𝐿
  • C 𝑍 𝐿

Q10:

The diagonals of a rectangle are and .

  • Aequal in length, perpendicular
  • Bperpendicular, bisect each other
  • Cnot perpendicular, not equal in length
  • Dequal in length, bisect each other

Q11:

Given that 𝐴 𝐡 𝐢 𝐷 is a rectangle, where 𝐸 𝐢 = 6 π‘₯ βˆ’ 7 and 𝐴 𝐸 = 2 π‘₯ + 5 , find 𝐷 𝐸 .

Q12:

In a rectangle, all angles are angles.

  • Aacute
  • Bobtuse
  • Cright

Q13:

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

  • Ano
  • Byes

Q14:

Are the diagonals of a rectangle always perpendicular?

  • Ano
  • Byes

Q15:

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

  • Ayes
  • Bno

Q16:

Are the opposite sides of a rectangle parallel?

  • A yes
  • B no

Q17:

Does the size of any angle in a rectangle equal ?

  • A no
  • B yes

Q18:

A square and a rectangle are .

  • Acongruent
  • Bsimilar
  • Cproportional
  • Dnot similar

Q19:

In rectangle 𝑋 π‘Œ 𝑍 𝐿 , which side length is equal to π‘Œ 𝑍 ?

  • A π‘Œ 𝐿
  • B 𝑋 π‘Œ
  • C 𝑋 𝐿

Q20:

The two diagonals of a rectangle are .

  • Aperpendicular and equal in length
  • Bperpendicular
  • Cparallel
  • Dequal in length

Q21:

In a rectangle 𝐴 𝐡 𝐢 𝐷 , which line is perpendicular to 𝐴 𝐡 ?

  • A 𝐷 𝐢
  • B 𝐴 𝐢
  • C 𝐴 𝐷

Q22:

Are the angles in a rectangle right angles?

  • Ayes
  • Bno

Q23:

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

  • Aa rhombus
  • Ba trapezium
  • Ca rectangle

Q24:

In this rectangle, 𝑋 𝑍 = 7 𝑐 , 𝑍 π‘Œ = 2 1 , and 𝑋 π‘Œ = 2 8 . Find the value of 𝑐 .

Q25:

Is the sum of two consecutive angles in rectangles and parallelograms equal to 1 8 0 ∘ ?

  • Ayes
  • Bno