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?

  • A𝑌𝐿
  • B𝑋𝐿
  • C𝑋𝑌

Q3:

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

  • A𝐴𝐶
  • B𝐷𝐶
  • C𝐴𝐷

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:

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

  • Aa rectangle
  • Ba rhombus
  • Ca trapezoid

Q8:

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

Q9:

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

Q10:

In rectangle 𝑋𝑌𝑍𝐿, which side is perpendicular to 𝑌𝑍?

  • A𝑍𝑋
  • B𝑍𝐿
  • C𝑋𝐿

Q11:

Is the rectangle a parallelogram?

  • Ayes
  • Bno

Q12:

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

  • A586 cm
  • B285 cm
  • C217 cm
  • D586 cm
  • E285 cm

Q13:

Can a parallelogram be a rectangle?

  • Ayes
  • Bno

Q14:

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.

Q15:

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

  • A𝐶𝐷
  • B𝐴𝐶
  • C𝐵𝐶

Q16:

Choose from the following statements the properties of a rectangle.

  1. It has two pairs of parallel sides.
  2. It has only one pair of sides equal in length.
  3. It is a parallelogram of four right angles.
  4. It has only one pair of right angles.
  • AA and C
  • BA and D
  • CB and C
  • DB and D
  • EA and B

Q17:

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

  • Ano
  • Byes

Q18:

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

  • A𝐴𝐶
  • B𝐶𝐷
  • C𝐵𝐶

Q19:

Is any parallelogram in which one angle is a right angle also a rectangle?

  • Ano
  • Byes

Q20:

Do the two diagonals of a rectangle and a parallelogram bisect each other?

  • Ayes
  • Bno

Q21:

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

  • Ano
  • Byes

Q22:

Determine whether the following statement is true or false: A rectangle is a parallelogram.

  • Afalse
  • Btrue

Q23:

In rectangle 𝑋𝑌𝑍𝐿, which side is parallel to 𝑌𝑍?

  • A𝑋𝐿
  • B𝑋𝑌
  • C𝑌𝐿

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