Angles and Parallel Lines Quick Check%0D%0A1 of 51 of 5 Items%0D%0A%0D%0AQuestion%0D%0AUse the figure to answer the question.%0D%0A%0D%0A %0D%0A%0D%0A%0D%0AUsing 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)%0D%0AResponses%0D%0A%0D%0Avertical angles%0D%0Avertical angles%0D%0A%0D%0Aalternate exterior angles%0D%0Aalternate exterior angles%0D%0A%0D%0Aalternate interior angles%0D%0Aalternate interior angles%0D%0A%0D%0Acorresponding angles
corresponding angles
is that correct?
No, that is not correct. The correct relationship that can be established between angle 5 and angle 1 when parallel lines are cut by a transversal is alternate interior angles.
thanks
You're welcome! If you have any more questions, feel free to ask.
Angles and Parallel Lines Quick Check
2 of 52 of 5 Items
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.
What is the relationship between angle 3 and angle 6?
(1 point)
To determine the relationship between angle 5 and angle 1, we need to use the information about angles formed when parallel lines are cut by a transversal.
When a transversal line crosses two parallel lines, several pairs of angles are formed. These pairs of angles are known as corresponding angles, alternate interior angles, alternate exterior angles, and vertical angles.
1. Corresponding angles are pairs of angles that are in the same position relative to the transversal and the parallel lines. They are on the same side of the transversal and on different parallel lines. Corresponding angles are congruent (equal) to each other.
2. Alternate interior angles are pairs of angles that lie between the two parallel lines on opposite sides of the transversal. These angles are congruent to each other.
3. Alternate exterior angles are pairs of angles that lie outside the two parallel lines on opposite sides of the transversal. These angles are congruent to each other.
4. Vertical angles are pairs of angles that are formed by intersecting lines. These angles are diagonally opposite each other, and they are congruent to each other.
Based on the figure provided, we can see that angle 5 and angle 1 are not corresponding angles or vertical angles. This leaves us with two possible options: alternate interior angles and alternate exterior angles.
Since angle 5 and angle 1 are on opposite sides of the transversal and are both external to the parallel lines, they are considered alternate exterior angles. Therefore, the relationship that can be established between angle 5 and angle 1 is "alternate exterior angles".