The Basics (Leaving Cert Mathematics): Quizzes

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Cartesian Plane/Coordinates
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Which axis in the Cartesian plane is horizontal?

xx-axis

What are the coordinates of the origin?

(0,0)(0, 0)

In which quadrant are both xx and yy coordinates positive?

Quadrant I

In Quadrant II, what are the signs of xx and yy?

xx negative, yy positive

In which quadrant is xx positive and yy negative?

Quadrant IV

In the ordered pair (x,y)(x, y), what does xx represent?

Horizontal distance from origin

What is the distance formula between 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}

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

55 units

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

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

What is the midpoint of the segment joining A(−3,4)A(-3, 4) and B(5,−2)B(5, -2)?

(1,1)(1, 1)

In the line equation y=mx+cy = mx + c, what does mm represent?

The slope of the line

In the line equation y=mx+cy = mx + c, what does cc represent?

The yy-intercept

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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