Geometrical problems on coordinate axes

The points A, B and C are plotted on the grid below.

Write down the coordinates of point B._{……........ ………………}

ABCD is a parallelogram. Both the x-coordinate and the y-coordinate of point D are negative numbers.

Plot the point D on the grid.

Label D clearly.

Write down the coordinates of point D._{……........ ………………}

B is the midpoint of the line AC.

Find the coordinates of C.

C (_........ ,_........ )

A and B are two vertices of a right-angled triangle. Point D is to be plotted on the grid above so that the triangle ABD is a right-angled triangle. The x-coordinate of D is negative. Give the coordinates of a possible position of the point D that can be plotted on the grid

above.

D (_........ ,_........ )

B is the midpoint of the line AC.

Find the coordinates of C.

C (_........ ,_........ )

A and B are two vertices of a right-angled triangle. Point D is to be plotted on the grid above so that the triangle ABD is a right-angled triangle. The x-coordinate of D is negative. Give the coordinates of a possible position of the point D that can be plotted on the grid

above.

D (_........ ,_........ )

Find the coordinates of the midpoint of the line AB.

Rearrange the following formula to make k the subject.

p = 3k + 2

Does the midpoint of the straight line joining points (3, 15) and (7, 19) lie on the line y = 3x + 2?

You must show all your working.

Rearrange the following formula to make k the subject.

p = 3k + 2

Does the midpoint of the straight line joining points (3, 15) and (7, 19) lie on the line y = 3x + 2?

You must show all your working.

Draw the line x = − 4 on the grid below.

Show the position of point C on the grid.

Write down the coordinates of point C.

Draw the line x = − 4 on the grid below.

C is a point on the grid below so that: • BAC = 90°, • AC = AB.

Show the position of point C on the grid.

Write down the coordinates of point C.

The diagram shows two congruent triangles. The coordinates of each vertex are shown.

Find the value of a and the value of b.

Draw an enlargement of the rectangle below, using a scale factor of 3 and centre (1, 2).

The diagram shows two congruent triangles. The coordinates of each vertex are shown.

Find the value of a and the value of b.

The table below shows some values of y = x – 3 for values of x from – 4 to 6.

The straight line you have drawn on the graph for values of x from – 4 to 6 is a diagonal of a square.

Write down the coordinates of the four corners of this square.

The table below shows some values of y = x – 3 for values of x from – 4 to 6.

The straight line you have drawn on the graph for values of x from – 4 to 6 is a diagonal of a square.

Write down the coordinates of the four corners of this square.

The points A and B are plotted on the grid below.

Write down the coordinates of A and B.

The point C is the midpoint of the line AB.

Find the coordinates of C.