Using 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)

Question

Responses

alternate interior angles
alternate interior angles

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

vertical angles

2. What is the relationship between angle 6 and angle 7?(1 point)
Responses

corresponding angles
corresponding angles

alternate exterior angles
alternate exterior angles

alternate interior angles
alternate interior angles

vertical angles

3. What is the relationship between angle 3 and angle 6?

(1 point)
Responses

corresponding angles
corresponding angles

alternate interior angles
alternate interior angles

vertical angles
vertical angles

alternate exterior angles

4. If angle 4 is 42°
42
°
and lines M
𝑀
and N
𝑁
are parallel, give a reason why angle 5 is also 42°
42
°
.

(1 point)
Responses

Angle 4 and angle 5 are corresponding angles, so their measures are congruent.
Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.

Angle 4 and angle 5 are vertical angles, so their measures are congruent.
Angle 4 and angle 5 are vertical angles, so their measures are congruent.

Angle 4 and angle 5 are interior angles, so their measures must be the same.

Answer 1

1. What relationship can you establish between angle 5 and angle 1?
   Response: alternate interior angles

2. What is the relationship between angle 6 and angle 7?
   Response: vertical angles

3. What is the relationship between angle 3 and angle 6?
   Response: alternate interior angles

4. If angle 4 is 42° and lines M and N are parallel, give a reason why angle 5 is also 42°.
   Response: Angle 4 and angle 5 are corresponding angles, so their measures are congruent.

Answer 2

1. corresponding angles
3. alternate exterior angles
4. Angle 4 and angle 5 are alternate interior angles, so their measures must be the same.
also guys 5 is i didnt put becuase i know the answer. Angle 3 is 63° because angle 1 and angle 3 are vertical angles.

Answer 3

Thank you for your input! Let's clarify and address the points you mentioned:

1. The relationship between angle 5 and angle 1 is indeed corresponding angles when considering parallel lines cut by a transversal.

2. The relationship between angle 6 and angle 7 should be noted as vertical angles, which are equal to each other.

3. The relationship between angle 3 and angle 6, if angle 3 is accurately identified, is alternate exterior angles in your context if we are placing angle 6 appropriately in relation to the parallel lines.

4. Regarding the statement that angle 4 and angle 5 are alternate interior angles, it's essential to clarify that if they are corresponding, they will indeed be congruent if the lines are parallel. However, based on your description, if angle 4 is adjacent to angle 5, then they are indeed corresponding angles.

As for the final point you mentioned about angle 3 being 63° because angle 1 and angle 3 are vertical angles, if we know angle 1 (the measure) and it's equal to angle 3 (due to them being vertical angles), then that conclusion follows correctly.

Overall, the terminology needs to match the specific geometry configuration to ensure clarity. Thank you for the corrections!