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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
3.7 Rectangle


Properties of Rectangle:

  1. Opposite sides of a rectangle are equal or congruent.
  2. Opposite angles of a rectangle are equal.
  3. All its angles are right angles; or
  4. The diagonals of a rectangle bisect each other.
  5. Each diagonal divides the rectangle into two congruent triangles.
  6. The diagonals of a rectangle are equal.
  7. Both pairs of opposite sides are equal and one angle is 90; or
  8. Both pairs of opposite sides are equal and its diagonals are equal.
THEOREMS
  • A quadrilateral is a rectangle if and only if it has four right angles.

    A, B, C, D are 900
  • A parallelogram is a rectangle, if and only if its diagonals are congruent.

    AC @ BD

Directions: Read the above review points carefully and answer the following questions:
  1. Illustrate each of the above review points by drawing a Rectangle.
  2. Explain the different properties of a Rectangle, in your own words, with examples.
  3. Lilly measures her 10 cm x 6 cm garden plot. She found that all its edges are of angle measure 90. What will be the shape of her garden? Give reasons.
  4. What will be the value of one of the angles of a rectangle if one side is given by 17 cm and other side by 12 cm? Give reasons.
  5. If the lengths of the rectangle is x+31 and 5x-9 what is its length.
  6. For the following rectangle is the diagonal AC=10, find the mDOA, mBOC, BO, OD, AO, OC, AC

Q 1: The diagonals of a Rectangle _______ each other.
coincides
bisects
parallels

Q 2: One of the angles of a rectangle are given by 90, the opposite angle will be _______.
60
90
45

Q 3: Find the measure of angle ODA.

Answer:

Q 4: "The diagonals of a rectangle are given by 6 cm and 5 cm."
False
True

Q 5: The length of the rectangle shown in the figure is ___.

30
15
65

Q 6: "A quadrilateral has its sides given by 10 cm, 10 cm, 6 cm and 6 cm. Its diagonals are equal in measure and one of its angles is 90. Then it is a rectangle."
True
False

Q 7: "Two congruent triangles can be obtained by drawing a diagonal in a quadrilateral."
False
true

Q 8: In a rectangle, one of the diagonals is 5 cm, then the other diagonal will be _______.
Data is not sufficient
10 cm
5 cm

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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