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Angle Relationships

Directions:

Drag the points C and B to investigate angle relationships formed by two non-parallel lines and a transversal. Which angles are congruent? Which angles are supplementary?

Non-Parallel Lines cut by a Transversal

Select the types of angle pairs which are congruent, if any.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
Check my answer (3)

Select the types of angle pairs which are supplementary, if any.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
Check my answer (3)

Parallel Lines cut by a Transversal

Directions:

The blue line and the black line are parallel. Drag point B to investigate angle relationships formed by two parallel lines and a transversal. Which angles are congruent? Which angles are supplementary? Compare the angle relationships when the lines are parallel to the example above where the lines were not parallel. What is similar? What is different?

Select the types of angle pairs which are congruent, if any.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
Check my answer (3)

Select the types of angle pairs which are supplementary, if any.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
Check my answer (3)