GCSE Secondary Maths Age 13-17 - Graphs: Equations - Explained

The video tutorial explains how to find the equation of diagonals in a rhombus placed on the XY plane. It covers the properties of a rhombus, such as its diagonals intersecting at right angles, and demonstrates how to calculate the gradient and equation of a line. The tutorial emphasizes the importance of understanding geometric properties to solve problems effectively.

What are the coordinates of point A in the rhombus ABCD?

• (5, 11)

• (11, 5)

• (5, 6)

• (6, 5)

What is the equation of the diagonal DB?

• Y = 2X + 6

• Y = -1/2 X + 6

• Y = 1/2 X - 6

• Y = 1/2 X + 6

What is a key property of the diagonals of a rhombus?

• They are parallel

• They bisect each other at 90 degrees

• They are equal in length

• They form an acute angle

If a line has a gradient of 1/2, what is the gradient of a line perpendicular to it?

• 2

• -2

• 1/2

• -1/2

What is the general rule for the gradients of perpendicular lines?

• M1 * M2 = 1

• M1 * M2 = -1

• M1 + M2 = 0

• M1 - M2 = 1

What is the gradient of line AC?

• 1/2

• -1/2

• -2

• 2

What is the final equation of line AC?

• Y = 2X - 21

• Y = -2X - 21

• Y = 2X + 21

• Y = -2X + 21