Completing a shape from coordinates Revision Card

AI generatedGeometry and measuresKS3 / GCSE

Completing a shape from coordinates.

Give a mathematical reason for each step.
Use matching angles and corresponding sides, not the appearance of a diagram.
State the result you have proved at the end.

Example 1

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

D is reached from A by the same movement as B to C.

D = (2, 4).

Coordinate diagram

Example 2

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

D is reached from A by the same movement as B to C.

D = (3, 4).

Coordinate diagram

Your turn

Question 1

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

Check answer

D is reached from A by the same movement as B to C.

D = (4, 4).

Coordinate diagram

Question 2

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

Check answer

D is reached from A by the same movement as B to C.

D = (2, 5).

Coordinate diagram

Question 3

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

Check answer

D is reached from A by the same movement as B to C.

D = (3, 5).

Coordinate diagram

Question 4

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

Check answer

D is reached from A by the same movement as B to C.

D = (4, 5).

Coordinate diagram

Question 5

A, B and C are consecutive vertices of a parallelogram ABCD. Find D.

Coordinate diagram

Check answer

D is reached from A by the same movement as B to C.

D = (2, 6).

Coordinate diagram