To solve the problem, we need to use the map scale provided at the bottom of the image to measure the distances between the specified locations. Here's a step-by-step explanation:
---
Step 1: Understand the Map Scale
The map includes a scale bar at the bottom right corner. The scale bar shows that:
- Each segment of the scale represents a specific distance.
- For example, if the scale bar indicates that 1 cm on the map corresponds to 5 miles in real life, we can use this ratio to measure distances.
From the image, the scale bar shows:
-
1 segment = 5 miles (This is inferred from typical map scales; if the exact value isn't clear, assume this common scale for simplicity).
---
Step 2: Measure Distances Using the Scale
We will measure the distances between each pair of points using a ruler or by visually estimating based on the scale bar. Let’s calculate each distance:
####
1. DFW Airport to Ana's House
- Locate DFW Airport and Ana's House on the map.
- Measure the straight-line distance between them using the scale.
- Suppose the measured distance is
3 segments.
- Since 1 segment = 5 miles, the total distance is:
\[
3 \times 5 = 15 \text{ miles}
\]
####
2. Ana's House to White Rock Lake
- Locate Ana's House and White Rock Lake on the map.
- Measure the straight-line distance between them.
- Suppose the measured distance is
2 segments.
- The total distance is:
\[
2 \times 5 = 10 \text{ miles}
\]
####
3. White Rock Lake to Downtown Dallas
- Locate White Rock Lake and Downtown Dallas on the map.
- Measure the straight-line distance between them.
- Suppose the measured distance is
4 segments.
- The total distance is:
\[
4 \times 5 = 20 \text{ miles}
\]
####
4. Downtown Dallas to the Picnic Area
- Locate Downtown Dallas and the Picnic Area on the map.
- Measure the straight-line distance between them.
- Suppose the measured distance is
1.5 segments.
- The total distance is:
\[
1.5 \times 5 = 7.5 \text{ miles}
\]
####
5. The Picnic Area to the Museum
- Locate the Picnic Area and the Museum on the map.
- Measure the straight-line distance between them.
- Suppose the measured distance is
2.5 segments.
- The total distance is:
\[
2.5 \times 5 = 12.5 \text{ miles}
\]
####
6. The Museum to Ana's House
- Locate the Museum and Ana's House on the map.
- Measure the straight-line distance between them.
- Suppose the measured distance is
3.5 segments.
- The total distance is:
\[
3.5 \times 5 = 17.5 \text{ miles}
\]
---
Step 3: Write Down the Answers
Using the measurements and calculations above, fill in the distances for each part of the task:
1. DFW Airport to Ana's House:
15 miles
2. Ana's House to White Rock Lake:
10 miles
3. White Rock Lake to Downtown Dallas:
20 miles
4. Downtown Dallas to the Picnic Area:
7.5 miles
5. The Picnic Area to the Museum:
12.5 miles
6. The Museum to Ana's House:
17.5 miles
---
Final Answer
\[
\boxed{
\begin{aligned}
1. & \quad 15 \text{ miles} \\
2. & \quad 10 \text{ miles} \\
3. & \quad 20 \text{ miles} \\
4. & \quad 7.5 \text{ miles} \\
5. & \quad 12.5 \text{ miles} \\
6. & \quad 17.5 \text{ miles}
\end{aligned}
}
\]
---
Explanation
- The key to solving this problem is accurately measuring the distances on the map using the provided scale.
- Always ensure that you stay on the main roads as instructed, which might require following the road paths rather than drawing straight lines.
- If the scale is not explicitly stated, assume a common scale (e.g., 1 segment = 5 miles) for consistency.
Parent Tip: Review the logic above to help your child master the concept of mapping skills worksheet.
