Mathematics
Grade9
Easy
Question
The perimeter of the kite ABCD is ________.
- 80 cm
- 33 cm
- 66 cm
- 52 cm
Hint:
A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
Properties:
- The two angles are equal where the unequal sides meet.
- It can be viewed as a pair of congruent triangles with a common base.
- It has 2 diagonals that intersect each other at right angles.
- The longer or main diagonal bisects the other diagonal.
- A kite is symmetrical about its main diagonal.
- The shorter diagonal divides the kite into 2 isosceles triangles.
The correct answer is: 66 cm
A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
Properties:
- The two angles are equal where the unequal sides meet.
- It can be viewed as a pair of congruent triangles with a common base.
- It has 2 diagonals that intersect each other at right angles.
- The longer or main diagonal bisects the other diagonal.
- A kite is symmetrical about its main diagonal.
- The shorter diagonal divides the kite into 2 isosceles triangles.
From the above figure :
AB = AD = 10cm
BC= CD = 23cm
Perimeter = Sum of Length of all sides
Perimeter = AD + AB + DC + CB
Perimeter = 10 + 10 + 23 + 23
Perimeter = 66 cm
Thus, the perimeter of the kite ABCD is 66 cm.
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