Parallel and Perpendicular Lines (VCE SSCE Mathematical Methods): Quizzes

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Parallel and Perpendicular Lines
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What is the key property of parallel lines?

They have identical gradients

What is the product of gradients of two perpendicular lines?

-1

If a line has gradient 33, what is the gradient of a perpendicular line?

−13-\frac{1}{3}

Which line is parallel to y=2x+3y = 2x + 3?

y=2x−4y = 2x - 4

If a line has gradient −12-\frac{1}{2}, what gradient makes a perpendicular line?

22

Which pair of gradients represents perpendicular lines?

44 and −14-\frac{1}{4}

What is the gradient of the line 2x−y=42x - y = 4?

22

Lines ABAB and ACAC have gradients 22 and −12-\frac{1}{2}. What angle is ∠BAC\angle BAC?

90°90°

Which form is used to find a line through (x1,y1)(x_1, y_1) with gradient mm?

y−y1=m(x−x1)y - y_1 = m(x - x_1)

What do parallel lines make with the positive xx-axis?

Equal angles

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