Use the midpoint formula to find the endpoint when given the midpoint ex 2

Use the midpoint formula to find the endpoint when given the midpoint ex 2

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find an unknown endpoint when given one endpoint and a midpoint. It begins by plotting the known points for visualization, then introduces the midpoint formula. The instructor demonstrates how to set up equations to solve for the unknown endpoint using inverse operations. The tutorial concludes with plotting the calculated endpoint to verify its accuracy.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step the teacher suggests to solve the problem of finding the endpoint?

Calculate the distance between points

Plot the known points on a graph

Directly use the midpoint formula

Estimate the endpoint without calculations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find the unknown endpoint when given a midpoint and one endpoint?

Midpoint formula

Quadratic formula

Distance formula

Slope formula

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the teacher identify as the key to solving for the unknown coordinates?

Using the distance formula

Setting up separate equations for x and y

Using a graphing calculator

Guessing the coordinates

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation does the teacher use to eliminate the denominator in the equations?

Addition

Subtraction

Multiplication

Division

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After solving the equations, what is the calculated endpoint?

(-9, 1)

(-6, -2)

(-3, -5)

(0, 0)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the teacher verify the accuracy of the calculated endpoint?

By checking with a calculator

By using a different formula

By plotting the point on the graph

By recalculating the midpoint

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in the process of finding the endpoint?

Estimating the endpoint again

Ignoring the calculated endpoint

Revising the midpoint formula

Plotting the endpoint to check accuracy