The diagonals of quadrilateral ABCD intersect at point K. Is each statement needed to prove that ABCD is a parallelogram?
1 answer:
Answer:
Therefore to prove that ABCD is a parallelogram we need,
BK = DK
CK = AK
Step-by-step explanation:
Given:
The diagonals of quadrilateral ABCD , intersect at point K.
To Find:
Which statement needed to prove that ABCD is a parallelogram?
Solution:
For a Quadrilateral to be a Parallelogram,
- Diagonals Bisect each other.
- Opposite Sides are Parallel and Equal.
- Opposite angles are equal.
Here Diagonals intersect at K
∴ BK = DK ......K bisect Diagonal BD
∴ CK = AK ......K bisect Diagonal AC
Therefore to prove that ABCD is a parallelogram we need,
BK = DK
CK = AK
You might be interested in
Answer:
Probability of eligible applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
Step-by-step explanation:
Total percentage eligible applicants who pass the exam
Total ineligible applicants who pass the exam
All applicants who pass this exam 62.3% + 4.2% = 66.5%
Probability of applicants who pass the exam
Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible
Probability of applicants who pass the exam is 0.665
probability of applicants who are ineligible but pass the exam 0.063
The total area of the blades is the area of a triangle multiplied by 4.
We have then:
Where,
b: base of the blades
h: height of the blades
Substituting values we have:
Doing the calculation we have that the area of the blades is given by:
Answer:
The total area of the blades is: