Questions: Given parallel lines l and m, which of the following choices lists a pair of angles that must be congruent? F. angle 1 and angle 2 G. angle 1 and angle 3 H. angle 2 and angle 3 J. angle 2 and angle 5 K. angle 3 and angle 5

Given parallel lines l and m, which of the following choices lists a pair of angles that must be congruent? F. angle 1 and angle 2 G. angle 1 and angle 3 H. angle 2 and angle 3 J. angle 2 and angle 5 K. angle 3 and angle 5
Transcript text: 6. Given parallel lines $l$ and $m$, which of the following choices lists a pair of angles that must be congruent? F. $\angle 1$ and $\angle 2$ G. $\angle 1$ and $\angle 3$ H. $\angle 2$ and $\angle 3$ (J.) $\angle 2$ and $\angle 5$ K. $\angle 3$ and $\angle 5$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Parallel Lines and Transversal

Given parallel lines \( l \) and \( m \), and a transversal intersecting them, we need to identify the angles formed by the transversal.

Step 2: Determine Corresponding Angles

When a transversal intersects two parallel lines, corresponding angles are congruent. In this diagram, angles 2 and 5 are corresponding angles.

Step 3: Select the Correct Answer

From the given choices, the pair of angles that must be congruent are \(\angle 2\) and \(\angle 5\).

Final Answer

J. \(\angle 2\) and \(\angle 5\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
20. Use the follow links to keep updated with the current situation of coronavirus: D A. https://covid-19.direct/US B. https://coronavirus.1 point3acres.com/ C. https://www.healthy.arkansas.gov/programs-services/topics/novel-coronavirus D. All of them.
failedAnswered
The physical features and chemical composition of rocks that contain fossils provide information about the: manner of the organisms' death. environment in which the fossil organisms lived. phylogenetic relationships among the fossils present. other organisms that were present at the time that were not captured in the fossil record.
failedAnswered
Chapter 2 Quiz Previous Page Next Page Page 1 of 10 Chapter 2 Quiz Question 1 (1 point) Listen The process by which cultural traditions are passed from one generation to the next is known as what? a) enculturation b) cultural adaption c) cultural transmission d) acculturation Previous Page Next Page Page 1 of 10
failedAnswered
7 If the test point chosen makes the inequality statement true, then one should be sure to shade the area that contains the test point. Select one: True False
failedAnswered
Which of the following accurately investigates the impact Islamic expansion had on West African kingdoms? (1 point) Islamic expansion influenced West African kingdoms to adopt weaving techniques. Islamic expansion influenced West African kingdoms to adopt Islam's geometric art forms. Islamic expansion influenced West African kingdoms to adopt Islamic building techniques. Islamic expansion influenced West African kingdoms to adopt the Islamic religion.