Geometry 3-1 Complete Lesson: Lines and Angles

By Matt Richardson
Last updated about 3 years ago
41 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! You want to assemble a bookcase. You have all the pieces, but you misplaced the instructions that came with the box. How would you write the instructions?


Vocabulary: Define skew lines in your own words. You may use the canvas to help illustrate your definition.

Vocabulary: Define parallel lines in your own words. You may use the canvas to help illustrate your definition.

Vocabulary: Define parallel planes in your own words. You may use the canvas to help illustrate your definition.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Define transversal. You may use the canvas to help illustrate your definition.

Take Note: Define alternate interior angles. You may use the canvas to help illustrate your definition.

Take Note: Define same-side interior angles. You may use the canvas to help illustrate your definition.

Take Note: Define corresponding angles. You may use the canvas to help illustrate your definition.

Take Note: Define alternate exterior angles. You may use the canvas to help illustrate your definition.

Problem 2 Got It?

Problem 3 Got It?

Vocabulary: How does the phrase alternate interior angles describe the positions of the two angles? You may use the canvas to help illustrate your definition.

Review Lesson 2-6: Assume the following:

m∠YDF = 121
ray DR bisects ∠FDI

Find the measure of ∠IDA.
Enter only a number.

Review Lesson 2-6: Assume the following:

m∠YDF = 121
ray DR bisects ∠FDI

Find the measure of ∠YDA.
Enter only a number.

Review Lesson 2-6: Assume the following:

m∠YDF = 121
ray DR bisects ∠FDI

Find the measure of ∠RDI.
Enter only a number.

Review Lesson 2-1: What are the next two terms in the sequence?
Enter your answer in this format: 5,-8 (with no spaces).

Review Lesson 3-1: Classify the pair of angles.

Review Lesson 3-1: Classify the pair of angles.

Review Lesson 3-1: Classify the pair of angles.

Review Lesson 3-1: Classify the pair of angles.

Vocabulary Review: True or False: You can name a plane by a capital letter, such as A.

Vocabulary Review: True or False: A plane contains a finite number of lines.

Vocabulary Review: True or False: Two points lying on the same plane are coplanar.

Vocabulary Review: True or False: If two distinct planes intersect, then they intersect in exactly one line.

Vocabulary Review: Tag each statement on the right as true or false.

  • true
  • false
  • You can name a plane by a capital letter, such as A.
  • A plane contains a finite number of lines.
  • Two points lying in the same plane are coplanar.
  • If two distinct planes intersect, then they intersect in exactly one line.

Use Your Vocabulary: Consider the diagram. Use it to appropriately categorize each item on the left.

  • \overline{BC}
  • \overline{AB}
  • \overline{CD}
  • \overline{DA}
  • Segments parallel to the x-axis
  • Segments parallel to the y-axis

Use Your Vocabulary: Refer to the diagram and categorize the following terms and pairs of lines.

Some items may belong in multiple categories.

  • line AE and line CG
  • line DC and line GC
  • intersect
  • coplanar
  • noncoplanar
  • do not intersect
  • line CB and line AE
  • Parallel
  • Skew
  • Neither parallel nor skew

Reflect: Math Success