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We can determine whether a quadrilateral placed on coordinate plane is a parallelogram or
not in coordinate geometry, distance formula and mid point formula are enough to show that
quadrilateral placed on coordinate axes is a parallelogram or not. If vertices of triangle are
given then using distance formula we can find length of sides of triangle
Answer the questions based on above:
(a) If A(2, 3), B((4, 6), C(7,4) and D(a, b) are the vertices of a quadrilateral, such that diagonals
AC and BD intersects each other O. If O is mid point of AC and BD then value of a and bare
(1 Point)
O 0 a = 5, b = 1
(ii) a = 1, b = 5
O iii) a = -5, b = -1
O (iv) a=-1, b =-5
Answers
Answer:
A=5 AND B=1 PLZ MARK ME BRLIYANT
Answer:
The distance formula and midpoint formula are sufficient to demonstrate that coordinate geometry is not involved. whether or not a quadrilateral positioned on coordinate axes is a parallelogram. Triangle sides may be calculated using the distance formula if the triangle's vertices are known.
Step-by-step explanation:
Step : 1 The quadrilateral is a parallelogram if the diagonals are bisected by each other. Coordinate geometry is used: Lines that have the same slope are parallel, according to slope. Perpendicular lines are those having opposing reciprocal slopes.
Step : 2 We must demonstrate one of the six fundamental characteristics of parallelograms, therefore!
Parallel lines connect the two opposing side pairs.
The two opposing side pairs are both congruent.
The two opposite angle pairings match up.
Diagonals cut each other in half.
One angle is an addition to the two following angles (same-side interior)
Step : 3 You must repeat the distance calculation six times to do this (4 because of the sides and 2 for the diagonals). Write something along the lines of: "The quadrilateral is a square since it's a parallelogram with all congruent sides and congruent diagonals after completing the distance formula six times."
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