What’s the same? What’s different?

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Presentation transcript:

What’s the same? What’s different? Starter What’s the same? What’s different? 4cm 42° 6cm 6cm 42° 9cm 4cm 6cm 42° 32° 8cm 4cm

Definitions Congruent shapes have all sides and angles equal. Similar shapes have all angles equal but one is an enlargement of the other.

Are these triangles congruent? Congruence Are these triangles congruent? For triangles to be congruent, three properties must be the same: SSS 6cm 6cm 4cm 3.5cm 4cm 3.5cm

Are these triangles congruent? Congruence Are these triangles congruent? For triangles to be congruent, three properties must be the same: SAS 4cm 3.5cm 78° 78° 4cm 3.5cm

Are these triangles congruent? Congruence Are these triangles congruent? For triangles to be congruent, three properties must be the same: ASA 47° 4cm 78° 47° 78° 4cm

Are these triangles congruent? Congruence Are these triangles congruent? For triangles to be congruent, three properties must be the same: RHS 5cm 5cm 4cm Right angle, hypotenuse, side 4cm

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

Are these triangles congruent? 

PR = PQ (isosceles triangle) Angles RPQ = QPR (same angle) Diagram NOT accurately drawn Triangle PQR is isosceles with PQ = PR. X is a point on PQ. Y is a point on PR. PX = PY. Prove that triangle PQY is congruent to triangle PRX (Total 3 marks) PX = PY (as in question) PR = PQ (isosceles triangle) Angles RPQ = QPR (same angle) SAS proves triangles are congruent.

Answers Work in pairs using the answers to decide how many marks you would award yourself for each question.

Create your own question on proving congruence or similarity. Plenary Create your own question on proving congruence or similarity. Make sure you have provided enough information on your diagram.