The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
<h3>How to partition the line?</h3>
The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:
Substitute known values
Evaluate the products
Evaluate the quotients
Hence, the coordinate of the partition is (x,y) = (0.5,-2)
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Answer:
(3, 7)
Step-by-step explanation:
The midpoint of a line joining the points (x1, y1) and (x2, y2) has midpoint
[(x1 + x2)/ 2]. (y1 + y2)/2 ]
Substituting the given points:-
Midpoint of MN = (-2 + 8)/2 , (4 + 10)/2
= 6/2 , 14/2
= (3, 7) (answer)
Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,
Also,
(Reflexive)
Thus, By SAS similarity postulate,
⇒ Option first is correct.
