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Let's break down the problem step by step to analyze it properly.

### Problem 8:
- **Tamika** must walk from point **A** to point **B**.
- **Tiffany** must walk from point **C** to point **D**.
  
#### Part (a):
The question asks about the number of locations where the two friends can meet if both walk the shortest path possible.

- For each friend, the shortest path will be a straight line between their starting and ending points:
  - **Tamika's path**: A straight line from **A** to **B**.
  - **Tiffany's path**: A straight line from **C** to **D**.
  
The two straight paths will intersect at one point unless the lines are parallel. Therefore, the answer is that there is **one location** where they could meet, assuming that the lines are not parallel (which is likely given the positioning in the diagram).

#### Part (b):
The next part asks you to locate this meeting point on the diagram. To find it:
- You would draw a straight line from **A** to **B**.
- You would also draw a straight line from **C** to **D**.
- The point where these two lines intersect is the location where they can meet.

#### Problem 9:
This question asks whether the two friends in Problem 8 will meet at the point identified in 8(b). The reasoning here would depend on whether both friends are moving at the same speed and started at the same time. If they did, they would meet at that intersection point; if not, they might meet at a different location or not at all.

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Would you like more details on any of the steps? Here are some related questions you might want to explore:

1. How can we calculate the exact coordinates of the intersection point?
2. What happens if Tamika and Tiffany are walking at different speeds?
3. How would the result change if the lines **A-B** and **C-D** were parallel?
4. What is the formula to find the intersection of two lines?
5. How would the solution change if there were obstacles along the paths?

**Tip**: Whenever you solve a problem involving the intersection of lines, always check if the lines are parallel first. Parallel lines never intersect!

Tamika must walk from point A to point B. Her friend Tiffany must walk from point C to point D. (a) If both friends walk the shortest path possible, at how many locations can the two meet? (b) Locate all points they can meet on the diagram.

This problem focuses on geometry and the intersection of two straight lines, representing the shortest paths from points A to B and C to D. Students are tasked with determining where the paths intersect and how to locate the exact meeting point. Suitable for Grades 6-8.

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