Questions: 3. Using CD as the transversal, which angles are considered alternate exterior angles? - angle CAQ and angle DBO - angle CAB and angle UBO - angle QAB and angle ABO - angle AQU and angle BOR 4. Why are the alternate interior angles, the alternate exterior angles, and the corresponding angles equal in this model? - Since the shape is a parallelogram the transversal must cross two parallel lines. - Since the shape is a parallelogram the transversal must cross two perpendicular lines. - The angles are not equal they are all supplementary. 5. Critical Thinking Problem: Which of the following segments is NOT considered a transversal? - CD - Qu - RO - CA

3. Using CD as the transversal, which angles are considered alternate exterior angles?
- angle CAQ and angle DBO
- angle CAB and angle UBO
- angle QAB and angle ABO
- angle AQU and angle BOR

4. Why are the alternate interior angles, the alternate exterior angles, and the corresponding angles equal in this model?
- Since the shape is a parallelogram the transversal must cross two parallel lines.
- Since the shape is a parallelogram the transversal must cross two perpendicular lines.
- The angles are not equal they are all supplementary.

5. Critical Thinking Problem: Which of the following segments is NOT considered a transversal?
- CD
- Qu
- RO
- CA
Transcript text: 3. Using $C D$ as the transversal, which angles are considered alternate exterior angles? $\angle C A Q$ and $\angle D B O$ $\angle C A B$ and $\angle U B O$ $\angle Q A B$ and $\angle A B O$ $\angle A Q U$ and $\angle B O R$ 4. Why are the alternate interior angles, the alternate exterior angles, and the corresponding angles equal in this model? Since the shape is a parallelogram the transversal must cross two parallel lines. Since the shape is a parallelogram the transversal must cross wo perpendicular lines. The angles are not equal they are all supplementary. 5. Critical Thinking Problem: Which of the following segments is NOT considered a transversal? $C D$ Qu RO CA
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Solution

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To address the question, let's focus on the first three parts as per the guidelines:

  1. Using CD CD as the transversal, which angles are considered alternate exterior angles?
  • CAQ\angle C A Q and DBO\angle D B O: These angles are on opposite sides of the transversal CD CD and outside the lines it intersects, making them alternate exterior angles.
  • CAB\angle C A B and UBO\angle U B O: These angles are not alternate exterior angles because they are not both outside the lines intersected by the transversal.
  • QAB\angle Q A B and ABO\angle A B O: These angles are not alternate exterior angles because they are not both outside the lines intersected by the transversal.
  • AQU\angle A Q U and BOR\angle B O R: These angles are not alternate exterior angles because they are not both outside the lines intersected by the transversal.

The answer is the first one: CAQ\angle C A Q and DBO\angle D B O.

  1. Why are the alternate interior angles, the alternate exterior angles, and the corresponding angles equal in this model?
  • Since the shape is a parallelogram the transversal must cross two parallel lines.: This is correct. In a parallelogram, opposite sides are parallel, and a transversal crossing these parallel lines creates equal alternate interior, alternate exterior, and corresponding angles.
  • Since the shape is a parallelogram the transversal must cross two perpendicular lines.: This is incorrect because a parallelogram does not necessarily have perpendicular sides.
  • The angles are not equal they are all supplementary.: This is incorrect in the context of parallel lines and a transversal, where alternate interior, alternate exterior, and corresponding angles are equal, not supplementary.

The answer is the first one: Since the shape is a parallelogram the transversal must cross two parallel lines.

  1. Critical Thinking Problem: Which of the following segments is NOT considered a transversal?
  • CD CD : This is a transversal as it is mentioned in the context of the problem.
  • QU QU : This could be a transversal if it crosses two lines, but without additional context, it's unclear.
  • RO RO : This could be a transversal if it crosses two lines, but without additional context, it's unclear.
  • CA CA : This is likely not a transversal if it is one of the lines being intersected by the transversal CD CD .

The answer is likely CA CA , as it is not described as a transversal in the context provided.

In summary, the answers are: 3. CAQ\angle C A Q and DBO\angle D B O 4. Since the shape is a parallelogram the transversal must cross two parallel lines. 5. CA CA is not considered a transversal.

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