Edexcel IGCSE Maths (4MA1) · Unit 5: Geometry
Congruent Triangles questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the worked example first, then try the 3 exam-style questions yourself and check your working against the mark scheme.
Two triangles each have sides 5 cm and 8 cm with an included angle of \(70^\circ\). Are they congruent?
Answer: Yes (SAS)
Try each question before you open the answer. The mark schemes use Edexcel-style marks: M for method, A for accuracy (after the method mark), B for an independent result.
Two triangles have all three pairs of corresponding sides equal. Write down the condition that shows the triangles are congruent.
Answer: SSS
Triangle ABC has AB = 6 cm, angle A = 50° and angle B = 70°. Triangle DEF has DE = 6 cm, angle D = 50° and angle F = 60°. Show that the triangles are congruent.
Answer: Congruent (ASA), since angle E = 70°
ABCD is a parallelogram. Prove that triangle ABC is congruent to triangle CDA.
Answer: Congruent by SSS (proof)
Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.
Either Higher tier paper, 1H or 2H, can test congruent triangles: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.
In the IGCSE student hub: Unit 5 (Geometry) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.
IGCSE Math Revision