In this section we will discuss another pair of angles which are formed when a transversal line intersects a pair of parallel lines.
PART 1
The below diagram shows a pair of parallel lines being intersected by a third line (known as a transversal). The angles marked in the diagram are [i]alternate.[/i]
In your own words, describe what is meant by angles which are [i]alternate.[/i]
Alternate angles on parallel lines are on opposite sides of a transversal line, between the parallel lines.
PART 2
[br][i][size=200]Alternate angles are always equal[/size][/i][br][br][br]Consider the below diagrams.
Which diagrams above show alternate angles?
PART 3
Consider the below diagram.
Which angle is alternate to [math]b[/math]?
Which angle is alternate to [math]c[/math]?
Explain why angles [math]a[/math] and [math]d[/math] do not have alternate angles shown in the diagram.
They are not between the pair of parallel lines. Alternate angles must both be between the parallel lines.
PART 4
Which of the following three statements are true?[br]a) Alternate angles are equal[br]b) Corresponding angles are equal[br]c) Vertically opposite angles are equal[br]d) Complimentary angles are equal[br]e) Supplementary angles are equal