Mathematics
Grade9
Easy
Question
If COAL is a kite, find the value of k.
- 11
- 13
- 9
- 21
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: 13
A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
Given : COAL is a KITE
We know that the adjacent sides of a kite are equal in measures.
OA = LA
5k - 7 = 3k + 19
2k = 26
k = 13
Thus, the value of k is 13.
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