Coordinate geometry

Points and segments

Types of exercises: midpoint of a segment, distance between two points, area of a triangle in the coordinate plane, fourth vertex of a parallelogram, centre of the circumcircle of a right-angled triangle, endpoint of a segment from its midpoint.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Give the coordinates of vertex D

The points A = (−6, 3), B = (−7, −1), C = (−4, 3) are consecutive vertices of parallelogram ABCD.

2

Give the midpoint of the segment

A = (−2, −14), B = (16, −5)

3

Compute the distance between the points

A = (15, −15), B = (14, −13)

4

Find the area of triangle ABC

A = (5, 4), B = (−4, −4), C = (5, 0)

5

Give the coordinates of point B

The point S = (1, −4) is the midpoint of segment AB, and A = (−10, −11).

6

Give the centre of the circumcircle of this triangle

Triangle ABC with vertices A = (−3, −2), B = (1, −6), C = (−1, 0) is right-angled.

7

Give the midpoint of the segment

A = (−18, −17), B = (−7, 20)

8

Compute the distance between the points

A = (−13, −9), B = (−20, −10)

9

Find the area of triangle ABC

A = (9, −6), B = (6, −2), C = (3, −6)

10

Give the coordinates of point B

The point S = (−4, −9) is the midpoint of segment AB, and A = (−4, −11).

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Points and segments - exercises with solutions (Coordinate geometry) | PhiBoard