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Parallel lines cut by a transversal_final output

Direction: Observe the figure below and answer the following questions.

Condition: Lines g and f are parallel.

1. Try dragging points A, B and C. What did you notice with ∠CAB and ∠GCF? 2. What is the relationship of ∠CAB and ∠GCF? 3. Given the measures of ∠CAB and ∠GCF, what would be the measures of ∠EAH and ∠DCA? 4. How about measures of ∠GCD? ∠ACF? ∠CAE? and ∠HAB? 5. How is the following pair of angles related? a. ∠GCF and ∠EAH b. ∠GCD and ∠HAB c. ∠ACF and ∠CAE d. ∠DCA and ∠CAB e. ∠ACF and ∠CAB f. ∠DCA and ∠CAE g. ∠GCF and ∠HAB h. ∠GCD and ∠EAH 6. What have you observed with the corresponding angles? 7. How about the vertical angles? 8. What did you notice with the alternate exterior angles? alternate interior angles? 9. How about the measures of the same side interior angles? same side exterior angles? 10. Based on your observation, what can you conclude regarding the angles formed when two parallel lines are cut by a transversal? Prepared by: Jonna A. Brondo Reynalyn N. Nacional MORMS