Distance Formula (Leaving Cert Mathematics): Quizzes

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Distance Formula
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What does the distance formula calculate?

Distance between 2 points in Cartesian plane

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

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

Which theorem is the distance formula derived from?

Pythagorean theorem

In the derivation, what does the hypotenuse of the right triangle represent?

The distance dd

What type of line does the distance formula measure?

A straight line

What is the distance between points (0,0)(0, 0) and (3,4)(3, 4)?

55 units

In the worked example, what is the diagonal length of the rectangle with vertices (0,0)(0, 0) and (5,12)(5, 12)?

1313 units

What is the first step when applying the distance formula?

Identify coordinates (x1,y1)(x_1, y_1) & (x2,y2)(x_2, y_2)

In the derivation, what is the length of the horizontal leg of the right triangle?

∣x2−x1∣|x_2 - x_1|

What is the distance between points (1,2)(1, 2) and (4,6)(4, 6)?

55 units

Explore Leaving Cert Mathematics Revision Notes by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Model Answers by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Flashcards by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Exam Questions by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

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