Congruence

A and B are triangles.

For each statement, tick the correct box to describe A and B.

Circle the reason why these triangles are congruent.

ASA RHS SAS SSS

Here is triangle A.

Use the sine rule to show that x = 64 ° to the nearest degree.

Here is triangle B.

Anna thinks that w must be 64 ° to the nearest degree. She says, “This is because t riangle B has two sides and one angle the same as triangle A.”

Without further calculation, is she correct? Tick a box.

Give a reason for your answer.

AC is a diameter of a circle, centre E. E is the midpoint of BD.

Prove that triangle ABE is congruent to triangle CDE.

Circle the reason why the triangles are congruent.

ASA RHS SAS SSS

Circle the reason why these triangles are congruent.

ASA RHS SAS SSS

Circle the reason why these triangles are congruent.

RHS ASA SSS SAS

Shapes A, B, C and D are on a square grid.

Which two shapes are congruent? Circle your answer.

A and C B and A C and D D and B

Here are two triangles, P and Q.

Here is a statement.

Make one criticism of the statement.

Here are two shapes, C and D.

Here is a statement.

Make one criticism of the statement.

Here are two triangles, P and Q.

Here is a statement.

Make one criticism of the statement.

Here are two shapes, C and D.

Here is a statement.

Make one criticism of the statement.

Here are four triangles.

Which two triangles are congruent? Circle two letters below.

A B C D

Circle the reason why these triangles are congruent.

SSS SAS ASA RHS

The diagram shows a logo. ABE and DCE are congruent triangles. BCE is a sector of a circle, centre E.

Show that the area of the logo is 510 cm² to 2 significant figures.

This shape is made from two triangles and four congruent parallelograms.

For each statement, tick the correct box.

The triangles are equilateral.

The triangles are congruent.

This shape is made from two triangles and four congruent parallelograms.

For each statement, tick the correct box.

The triangles are equilateral.

The triangles are congruent.