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Distance, Midpoint and Section Formulae
Distance, Midpoint and Section Formulae
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More in Coordinate Geometry
The Cartesian Plane
Distance, Midpoint and Section Formulae
Straight Lines
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High School (9–10)
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10 problems
Type:
Any
Numerical
1.
For what value of k do A(-1, 4), B(1, 1) and C(5, k) lie on one straight line?
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Hard
2.
Say what kind of triangle has the corners A(2, 1), B(6, 4) and C(-1, 5).
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Medium
3.
Find the two points that divide the line joining A(-4, 5) and B(8, -1) into three equal parts.
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Hard
4.
Find the point P that divides the line from A(-2, 3) to B(8, -2) in the ratio 3 : 2.
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Medium
5.
The midpoint of AB is M(-1, 2), and A = (3, -4). Find B.
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Medium
6.
Find the midpoint of the segment joining A(-7, 4) and B(3, -8).
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Easy
7.
Find the point on the y-axis that is equally far from A(5, 1) and B(-3, 5). How far is it from each?
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Medium
8.
The distance between (x, 5) and (2, -1) is 10 units. Find x.
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Medium
9.
Find the distance between A(2, 3) and B(7, 9), to two decimal places.
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Easy
10.
Find the distance of each point from the origin. (9, 12); (-20, 21); (1, -1)
High School (9–10), General · Distance, Midpoint and Section Formulae
StemPy Lab
Easy