Question

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)
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. 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 2

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 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!