Cambridge International Mathematics

12 Assumed Knowledge (Geometry and graphs)

Example 2 Self Tutor

Are these triangles congruent? If so, state the congruence relationship and

give a brief reason.

ab

cd

a ¢ABC»=¢QRP fSSSg b ¢ABC»=¢LKM fRHSg

c ¢ABC»=¢DFE fAAcorSg

d The two angles®and ̄are common, but although AC equals XZ,

these sidesare notcorresponding. fAC is opposite®whereas XZ is

opposite ̄.g

So, the triangles are not congruent.

1 In each set of three triangles, two are congruent. The diagrams arenotdrawn to scale. State which pair

is congruent, together with a reason (SSS, SAS, AAcorS or RHS).

ab

cd

® ̄(alpha) and (beta)

are Greek letters and

are often used to

show equal angles.

EXERCISE F.2

AB

C P

Q

R

Z

a b

A XY

BC

a b

B

AC

a b

F

DEa b

A

B

C

K L

M

A B

C

A

B

C

A B

C

A

B

C

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