Alternate Angles

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 alternate.

In your own words, describe what is meant by angles which are alternate.

PART 2

Alternate angles are always equal Consider the below diagrams.

Which diagrams above show alternate angles?

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  • A
  • B
  • C
  • D
  • E
  • F
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PART 3

Consider the below diagram.

Which angle is alternate to ?

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  • A
  • B
  • C
  • D
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Which angle is alternate to ?

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  • A
  • B
  • C
  • D
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Explain why angles and do not have alternate angles shown in the diagram.

PART 4

Which of the following three statements are true? a) Alternate angles are equal b) Corresponding angles are equal c) Vertically opposite angles are equal d) Complimentary angles are equal e) Supplementary angles are equal

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  • A
  • B
  • C
  • D
  • E
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