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G6MU - Investigation Special Angles on Parallel Lines

Author:Manju Upadhyaya, Ms. Andres

Investigation #1

Line AD is parallel to Line FG in the figure below. 1. Use the angle tool to measure all 8 angles in the figure below. 2. Click and drag point C to change the angle measures. 3. Complete the questions below the figure based on your observations.

Use this figure for Investigation #1

Observation

Which of the following statements is always true about corresponding pairs of angles, like and ?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Which of the following statements is always true about alternate exterior pairs of angles, like and ?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Which of the following statements is always true about alternate interior pairs of angles, like and ?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Which of the following statements is always true about same side interior pairs of angles, like and ?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Which of the following statements is always true about same side exterior pairs of angles, like and ?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

C-3 Parallel Lines Conjecture

If two parallel lines are cut by a transversal, then corresponding angles are _____, alternate interior angles are _____, and alternate exterior angles are _____.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

C-4 Converse of the Parallel Lines Conjecture

If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are _____.

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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