Find the distance between the two points.

(–5, 8), (0, –4)

Find the distance between points ( p , q ) and (0, q ).

Find the midpoint of the line segment connecting

(6, 5) and (12, 9).

(0.25, 4) and (–0.9, –2).

Determine the distance between the two points and then determine the midpoint of the line segment joining the two points.

(0, 0), (6, 8)

(–4.5, 2.4), (8, –4.6)

(–9, 4), (–13/2, 6)

{(2 + √ 5), (3 + √ 3)} and {(2 – √ 5), (–1 + sqrt 3)}.

The distance between the given points is 13 units. Find the value of a .

(– 7, 3), ( a , 15)

Solve for x using the given distance d between the two points.

M is the midpoint of PQ . Find the coordinates of Q .

P (1, 1), M (3, 5)

The coordinates of one endpoint of the line segment XY and the midpoint M is given. Find the coordinates of the other end point.

M (0.55, 2.95), X (2.1, 3.9)

Classify the triangle as scalene, isosceles, or equilateral from the given vertices.

(7, 0), (3, –4), (8, –5)

(4, 7), (6, 2), (5, –2)

The coordinates of vertices of δ ABC are given. Classify the triangle on basis of the length of its sides. Also check if it is a right triangle. If it is right triangle, find the area of the triangle.

A (–1, 3), B (3, 2) and C (2, –2).

A (6, –3), B (–2, 5) and C (–1, –2).

Coordinates of three points are given. Determine if the points are collinear.

Hint: If distance between one pair of points is sum of the distances between the other pair of points, then the points are collinear.

A (2, 3), B (8, 5) and C (–1, 2).

A (–4, –1), B (–1, 2) and C (2, 4).

Write an equation for the perpendicular bisector of the line segment joining the two points: (4, 4), (8, 20)

Give an equation for the perpendicular bisector of the line segment joining the two points:

(–4, –9.2), (–5.2, 2.8)

Find the points on the coordinate axes that are equidistant from the the points

A (–1, 0) and B (0, 3).