Let's solve each problem step by step using the
distance formula between two points:
📌 Distance Formula:
For two points $(x_1, y_1)$ and $(x_2, y_2)$, the distance is:
$$
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
$$
But in some cases, if the points lie on a vertical or horizontal line, we can simplify:
- If $x_1 = x_2$: vertical line → distance = $|y_2 - y_1|$
- If $y_1 = y_2$: horizontal line → distance = $|x_2 - x_1|$
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🔹 Problem 1: (2, 1); (2, 5)
- Both points have the same $x$-coordinate ($x = 2$), so it's a
vertical line.
- Distance = $|5 - 1| = 4$
✔ Answer:
c. 4
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🔹 Problem 2: (3, 4); (3, 1)
- Again, same $x$-coordinate ($x = 3$) → vertical line.
- Distance = $|4 - 1| = 3$
✔ Answer:
c. 3
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🔹 Problem 3: (4, 2); (4, 5)
- Same $x$-coordinate ($x = 4$) → vertical line.
- Distance = $|5 - 2| = 3$
✔ Answer:
a. 3
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✔ Final Answers:
1.
c. 4
2.
c. 3
3.
a. 3
> 💡 You can also plot these on the grid:
> - For each pair, they are aligned vertically (same $x$), so just count the units up/down.
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🧭 Summary:
The planes will land safely once you choose the correct distances!
✔ Correct Choices:
1. c
2. c
3. a
Parent Tip: Review the logic above to help your child master the concept of finding distance worksheet.
