6. Copy the table below and put a tick (✓) in the correct box in each row to show whether each statement is always true, sometimes true, or never true.
Statement
(i) A transversal crossing two lines creates equal alternate angles.
(ii) Corresponding angles are always equal.
(iii) Vertically opposite angles are always equal.
(iv) The converse of a theorem must be true.
(v)
Corresponding angles are both on the outer side of the two parallel lines to which they belong.
11B Taking it FURTHER
1. Railway tracks crossing are shown in the diagram below. One angle (75°) is shown in the diagram. Find the following angles. (i)
E D I B J G 75° H F C (ii) A
|∠A| |∠B|
(iii) |∠C| (iv) |∠D| (v)
|∠E|
(vi) |∠F| (vii) |∠G| (viii) |∠H| (ix) |∠I| (x)
|∠J| Tick one box only for each statement Always true Sometimes true Never true
2. On the right is an aerial image of the parallel runways at Dublin Airport. One angle (77°) is shown in the diagram.