Grade 10 Midpoint and Distance Formula Worksheets 2024 - Free Printable

This worksheet involves using the Midpoint Formula and the Distance Formula to solve various problems related to a zombie apocalypse scenario. Let's break down each problem step by step.

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Midpoint Formula

The midpoint formula is used to find the coordinates of the midpoint between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Distance Formula

The distance formula is used to calculate the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

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Problem Solutions

#### #1: Distance to the Zombie Lunch Lady
- Given: Coordinates of your hiding spot and the zombie lunch lady.
- Task: Calculate the distance using the Distance Formula.
- Solution: Plug the coordinates into the Distance Formula and compute the result. Round to the tenths place.

#### #2: Midpoint Between Sara and Jon
- Given: Coordinates of Sara and Jon.
- Task: Find the midpoint using the Midpoint Formula.
- Solution: Use the Midpoint Formula:
\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Plug in the coordinates of Sara and Jon and compute the result.

#### #3: Distance to Hammy the Hamster
- Given: Coordinates of your hiding spot and Hammy the Hamster.
- Task: Calculate the distance using the Distance Formula.
- Solution: Use the Distance Formula:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Plug in the coordinates and compute the result. Round to the tenths place.

#### #4: Midpoint Between You and Mr. Awesome
- Given: Coordinates of your hiding spot and Mr. Awesome.
- Task: Find the midpoint using the Midpoint Formula.
- Solution: Use the Midpoint Formula:
\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Plug in the coordinates and compute the result.

#### #5: Distance Between Jennifer and Josh
- Given: Coordinates of Jennifer and Josh.
- Task: Calculate the distance using the Distance Formula.
- Solution: Use the Distance Formula:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Plug in the coordinates and compute the result. Round to the tenths place.

#### #6: Distance Between Teacher's Pet Tom and the Blackboard
- Given: Coordinates of Teacher's Pet Tom and the blackboard.
- Task: Calculate the distance using the Distance Formula.
- Solution: Use the Distance Formula:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Plug in the coordinates and compute the result. Round to the tenths place.

#### #7: Midpoint Between You and Jerry the Janitor
- Given: Coordinates of your hiding spot and Jerry the Janitor.
- Task: Find the midpoint using the Midpoint Formula.
- Solution: Use the Midpoint Formula:
\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Plug in the coordinates and compute the result.

#### #8: Distance Between Abi and You
- Given: Coordinates of Abi and your hiding spot.
- Task: Calculate the distance using the Distance Formula.
- Solution: Use the Distance Formula:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Plug in the coordinates and compute the result. Round to the tenths place.

#### #9: Midpoint Between Jay and Jess
- Given: Coordinates of Jay and Jess.
- Task: Find the midpoint using the Midpoint Formula.
- Solution: Use the Midpoint Formula:
\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
Plug in the coordinates and compute the result.

#### Challenge: Total Distance Traveled While in Zombie Form
- Given: Multiple steps involving distances between different points.
- Task: Calculate the total distance traveled by summing up all individual distances.
- Solution: For each step, use the Distance Formula to calculate the distance between the given points. Sum all these distances and round the final result to the tenths place.

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Final Answer

After solving each problem using the formulas and rounding to the tenths place, you will have the answers for each question. The exact numerical answers depend on the coordinates provided in the image, which are not visible here. However, the process for solving each problem is outlined above.

If you provide the coordinates for each point, I can compute the exact numerical answers for you!

For now, the general solution approach is:
\[
\boxed{\text{Use the Midpoint and Distance Formulas as described above.}}
\]