Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?
Responses
alternate interior angles
alternate interior angles - no response given
vertical angles
vertical angles - no response given
corresponding angles
corresponding angles - not selected, this is the correct answer
alternate exterior angles
alternate exterior angles - incorrect
3 answers
The relationship that can be established between angle 5 and angle 1 is corresponding angles.
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To establish the relationship between angle 5 and angle 1 as corresponding angles, we need to consider the facts about angles formed when parallel lines are cut by a transversal.
When parallel lines are cut by a transversal, the corresponding angles are congruent. Corresponding angles are located on the same side of the transversal, on the same position relative to the parallel lines.
In the given diagram, angle 5 and angle 1 are located on the same side of the transversal and are both on the bottom left position relative to the parallel lines. Therefore, we can conclude that angle 5 and angle 1 are corresponding angles.
Since corresponding angles are congruent, we can state that angle 5 is congruent to angle 1.
When parallel lines are cut by a transversal, the corresponding angles are congruent. Corresponding angles are located on the same side of the transversal, on the same position relative to the parallel lines.
In the given diagram, angle 5 and angle 1 are located on the same side of the transversal and are both on the bottom left position relative to the parallel lines. Therefore, we can conclude that angle 5 and angle 1 are corresponding angles.
Since corresponding angles are congruent, we can state that angle 5 is congruent to angle 1.
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