Practise the method.Example 1Triangles ABC and DEF are congruent in that order. AB=4cm,BC=9cm and AC=9cm. Find DE=x, in cm.Congruent trianglesCongruent trianglesTriangle ABC and triangle DEF, with A corresponding to D, B to E and C to F. Diagram not to scale. Use the labelled measurements.ABCDEF4 cm9 cm9 cmx cmDiagram not to scaleShow worked answerAnswer: 4The order gives A ↔ D and B ↔ E.Therefore DE corresponds to ABx=4cm.Example 2Which conclusion follows from these givens: ∠BAC= ∠EDF, ∠ABC= ∠DEF and ∠ACB= ∠DFE? Choose the congruence condition, or “Not enough information”.Congruent trianglesCongruent trianglesTriangle ABC and triangle DEF, with A corresponding to D, B to E and C to F. Given ∠BAC = ∠EDF, ∠ABC = ∠DEF and ∠ACB = ∠DFE. Diagram not to scale. Use the labelled measurements.ABCDEFααββDiagram not to scaleShow worked answerAnswer: Not enough informationEqual angles establish similarity, but do not establish equal size.There is not enough information for congruence.Example 3Triangles ABC and DEF are congruent in that order. AB=7cm,BC=8cm and AC=10cm. Find DE=x, in cm.Congruent trianglesCongruent trianglesTriangle ABC and triangle DEF, with A corresponding to D, B to E and C to F. Diagram not to scale. Use the labelled measurements.ABCDEF7 cm8 cm10 cmx cmDiagram not to scaleShow worked answerAnswer: 7The order gives A ↔ D and B ↔ E.Therefore DE corresponds to ABx=7cm.