Distance and Midpoints (VCE SSCE Mathematical Methods): Quizzes

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Distance and Midpoints
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What process is used to find the midpoint of a line segment?

Averaging the coordinates

What is the midpoint formula for points A(x1,y1)A(x_1, y_1) and B(x2,y2)B(x_2, y_2)?

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

For a vertical line segment, which coordinate remains constant?

The xx-coordinate

For a horizontal line from C(−1,2)C(-1, 2) to D(3,2)D(3, 2), what is the midpoint?

(1,2)(1, 2)

What is the midpoint of the line segment joining A(2,6)A(2, 6) and B(−3,−4)B(-3, -4)?

(−12,1)\left(-\frac{1}{2}, 1\right)

Which theorem is used to derive the distance formula?

Pythagoras' theorem

What is the distance formula for points A(x1,y1)A(x_1, y_1) and B(x2,y2)B(x_2, y_2)?

(x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Calculate the distance from E(−3,2)E(-3, 2) to F(4,−2)F(4, -2).

65\sqrt{65}

What type of output does the midpoint formula give?

A point (ordered pair)

When calculating 4−(−3)4 - (-3) in the distance formula, what is the result?

77

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Distance and Midpoints

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Explore VCE SSCE Mathematical Methods Model Answers by Topics

Distance and Midpoints

The Gradient of a Straight Line

The Equation of a Straight Line

Graphing Straight Lines

Parallel and Perpendicular Lines

Families of Straight Lines

Linear Models

Linear Literal Equations and Simultaneous Linear Literal Equations

Applications of Linear Functions

Simultaneous Linear Equations with More Than Two Variables

Show more

Applications of Linear Functions

Simultaneous Linear Equations with More Than Two Variables

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Distance and Midpoints

The Gradient of a Straight Line

The Equation of a Straight Line

Graphing Straight Lines

Parallel and Perpendicular Lines

Families of Straight Lines

Linear Models

Linear Literal Equations and Simultaneous Linear Literal Equations

Applications of Linear Functions

Simultaneous Linear Equations with More Than Two Variables

Show more

Applications of Linear Functions

Simultaneous Linear Equations with More Than Two Variables

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Distance and Midpoints

The Gradient of a Straight Line

The Equation of a Straight Line

Graphing Straight Lines

Parallel and Perpendicular Lines

Families of Straight Lines

Linear Models

Linear Literal Equations and Simultaneous Linear Literal Equations

Applications of Linear Functions

Simultaneous Linear Equations with More Than Two Variables

Show more

Applications of Linear Functions

Simultaneous Linear Equations with More Than Two Variables

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