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8.3 Parallel Lines and Transversals w/equations Due 3/18/22

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Last updated about 1 year ago
10 questions
Note from the author:
Essential Question: How can you determine angles formed by transversals that intersect parallel lines? Learning Target: Students will be able to classify angles relationships formed when transversals intersect parallel lines and use those relationships to calculate missing angles. Complete the entire document for full credit.
Essential Question: How can you determine angles formed by transversals that intersect parallel lines? Learning Target: Students will be able to classify angles relationships formed when transversals intersect parallel lines and use those relationships to calculate missing angles. Complete the entire document for full credit.
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Question 1
1.

What is the correct order of steps to solve this problem:

If l m, classify the marked angle pair and give their relationship, then solve for x.


  1. Create the equation 7x-1=125
  2. Identify these angles as alternate interior angles therefore they are congruent
  3. Add 1 to both sides of the equation
  4. x=18
  5. Determine what the angle relationship is between these angles.
  6. Divide both sides of the equation by 7
Question 2
2.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.


Question 3
3.

What is the correct order of steps to solve this problem:

If l m, classify the marked angle pair and give their relationship, then solve for x.



  1. Determine what the angle relationship is between these angles.
  2. Add 2 to both sides of the equation
  3. x=12
  4. Divide both sides of the equation by 5
  5. Create the equation 5x-2=58
  6. Identify these angles as corresponding angles therefore they are congruent
Question 4
4.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.

Question 5
5.

What is the correct order of steps to solve this problem:

If l m, classify the marked angle pair and give their relationship, then solve for x.




  1. Combined like terms to get 9x+135=180
  2. Determine what the angle relationship is between these angles.
  3. Divide both sides of the equation by 9
  4. Create the equation 9x+2+133=180
  5. x=5
  6. Subtract 135 from both sides of the equation
  7. Identify these angles as same-side interior angles therefore they are supplementary
Question 6
6.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.

Question 7
7.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.


Question 8
8.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.


Question 9
9.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x and y.


Question 10
10.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x and y.