	
In the figure below, ∠9 and ∠5 are:



		alternate interior angles.
		corresponding angles.
		alternate exterior angles.
		same-side interior angles.
In the figure below, ∠5 and ∠7 are:



		alternate interior angles.
		corresponding angles.
		alternate exterior angles.
		same-side interior angles.
In the figure below, ∠10 and ∠3 are:



		alternate interior angles.
		corresponding angles.
		alternate exterior angles.
		same-side interior angles.
In the figure below, ∠7 and ∠6 are:



		alternate interior angles.
		corresponding angles.
		alternate exterior angles.
		same-side interior angles.
Two planes that do not intersect are always considered parallel.
		True
		False
In the graphic below, lines a and b are:



		skew lines.
		parallel lines.
		perpendicular lines.
		transversal.


To answer these questions accurately, let's discuss the properties of different types of angle pairs and lines. Since no figure is provided, I'll describe the general scenario for each type of angle pair:

1. **Alternate Interior Angles**: These are pairs of angles that lie between two lines on opposite sides of a transversal. For example, if two parallel lines are cut by a transversal, then the pairs of angles that lie between the two lines and on opposite sides of the transversal are alternate interior angles.

2. **Corresponding Angles**: These are pairs of angles that are in similar positions relative to the parallel lines and the transversal. For instance, one angle might be in the upper left position on one line, and its corresponding angle would be in the same relative position on the other line.

3. **Alternate Exterior Angles**: These are pairs of angles that lie outside the two lines and on opposite sides of a transversal.

4. **Same-Side Interior Angles**: These are pairs of angles that lie between the two lines and on the same side of a transversal. When the lines are parallel, these angles are supplementary.

5. **Skew Lines**: These are lines that do not intersect and are not in the same plane.

6. **Parallel Lines**: These are lines in the same plane that do not intersect no matter how far they are extended.

7. **Perpendicular Lines**: These lines intersect at a right angle (90 degrees).

8. **Transversal**: This is a line that intersects two or more lines at distinct points.

Now, based on these properties, here are the answers:

1. **∠9 and ∠5**: Without the figure, it's challenging to determine the exact relationship. If we assume they are on opposite sides of a transversal but inside the two lines, they would be **alternate interior angles**.

2. **∠5 and ∠7**: If ∠5 and ∠7 are in similar positions relative to the transversal and the two lines, they are **corresponding angles**.

3. **∠10 and ∠3**: Assuming ∠10 and ∠3 are on opposite sides of the transversal and outside the two lines, they would be **alternate exterior angles**.

4. **∠7 and ∠6**: If ∠7 and ∠6 are inside the two lines and on the same side of the transversal, they are **same-side interior angles**.

5. **Two planes that do not intersect are always considered parallel.**: This statement is **True**. Two planes that do not intersect are parallel by definition.

6. **In the graphic below, lines a and b are**: Without the graphic, it's difficult to determine. If the lines do not intersect and are in the same plane, they could be **parallel lines**. If they are not in the same plane and do not intersect, they are **skew lines**.

Would you like more details on any of these points? 

Here are some additional questions to explore:

1. What are the properties of supplementary angles?
2. How can you determine if two lines are parallel using angles?
3. What are the properties of skew lines?
4. How do you find the measure of corresponding angles when given one angle?
5. What is the difference between parallel and perpendicular lines?

**Tip**: When dealing with angles formed by a transversal and two lines, knowing the types of angles (corresponding, alternate interior, etc.) can help you quickly determine relationships and solve problems involving these angles.

Explore the relationships between angles such as alternate interior angles, corresponding angles, alternate exterior angles, and same-side interior angles. Learn about properties of lines including parallelism and perpendicularity. Suitable for high school students studying geometry.

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