Angles and Parallel Lines Quick Check
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Question
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
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?(1 point)
Responses
alternate interior angles
alternate interior angles
corresponding angles
corresponding angles
alternate exterior angles
alternate exterior angles
vertical angles
1. Corresponding angles
2. Vertical angles
3. Alternate exterior angles
4.Angle 4 and 5 are alternate interior angles, so their measures must be the same
5. Angle 3 is 63 because angle 1 and angle 3 are vertical angles
vertical angles
The relationship that can be established between angle 5 and angle 1 is that they are corresponding angles.
To determine the relationship between angle 5 and angle 1, we need to apply the concept of angles formed when parallel lines are cut by a transversal.
When a transversal intersects two parallel lines, certain types of angles are formed. The key angles to consider in this case are the corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines and are located in the same position on either side of the transversal. In this figure, angle 1 and angle 5 are located in the same position on opposite sides of the transversal.
Thus, the relationship that can be established between angle 5 and angle 1 is that they are corresponding angles.
Therefore, the correct response would be "corresponding angles".
Use the figure to answer the question.
An inclined transversal passes through two vertical parallel lines labeled upper M and upper N. The angles formed around the intersection point of upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.
What is the relationship between angle 6 and angle 7?(1 point)
Responses
vertical angles
vertical angles
corresponding angles
corresponding angles
alternate exterior angles
alternate exterior angles
alternate interior angles
alternate interior angles
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