HOMEWORK Coordinate geometry

Find the distance between A(3, 1) and B(5, 3).

• 2

• 4

Given A(3, -1), B(1, 8), and C(-6, 1). Use the distance formula to classify triangle ABC as either equilateral, isosceles or scalene.

• Equilateral

• Isosceles

• Scalene

• Angle A

• Angle B

• Angle C

Find a given that P(2, 3) and Q(a, -1) are 4 units apart.

• 3

• 0

• -2

• 2

Find the coordinates of the midpoint M of the line segment joining A(8, 1) and B(2, 5)

• M(3, 5)

• M(3, -2)

• M(5, 3)

• M(-3, 2)

M is the midpoint of [AB]. Find the coordinates of B for A(6, 4) and M(3, -1).

• B(4.5, 3.5)

• B(0, -6)

• B(0, 6)

• B(4, 2)

[AB] is the diameter of a circle with center C. If A is (3, -2) and B is (-1, -4), find the coordinates of C.

• C(-2, 1)

• C(3, 1)

• C(2, 1)

• C(1, -3)

Find the gradient of the line segment joining P(2, 3) and Q(7, 4)

Find the gradient of the following line

The line d is parallel to a line with a gradient of -6. The slope of d is