3B Maths Ch.10 revision

3B Maths Ch.10 revision

By Wang Kwong

Distance between Two Points

(Horizontal line and Vertical Line)​

Subject | Subject

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Distance formula

Subject | Subject

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Find the distance between the two given points.

(Give the answers correct to 3 significant figures if necessary.)

A(6, 8), B(6, 15)

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Find the distance between the two given points.

(Give the answers correct to 3 significant figures if necessary.)

C(3, 0), D(–11, 0)

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Find the distance between the two given points.

(Give the answers correct to 3 significant figures if necessary.)

E(–9, 7), F(2, 7)

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Find the distance between the two given points.

(Give the answers correct to 3 significant figures if necessary.)

G(0, 0), H(20, 21)

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Find the distance between the two given points.

(Give the answers correct to 3 significant figures if necessary.)

I(6, 1), J(0, –7)

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Find the distance between the two given points.

(Give the answers correct to 3 significant figures if necessary.)

K(–1, –3), L(1, –4)

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Find the length of the line segment AB.

(Give the answers correct to 3 significant figures if necessary.)

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In the figure, A(0, 3), B(1, –2) and C(5, 0) are the vertices of △ABC. Find the perimeter of △ABC.

(Give the answers correct to 3 significant figures if necessary.)

Show a right-angled triangle

Subject | Subject

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Slope Formula

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The slope of a straight line

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Inclination of a line

Subject | Subject

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Fill in the Blanks

Find the slope of the straight line passing through the two given points.

(if the answer is $-\frac{1}{2}$ , input -1/2 )

A(0, 4), B(10, 0)

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Find the slope of the straight line passing through the two given points.

(if the answer is $-\frac{1}{2}$ , input -1/2 )

C(1, 2), D(8, 8)

Fill in the Blanks

Find the slope of the straight line passing through the two given points.

(if the answer is $-\frac{1}{2}$ , input -1/2 )

G(–8, 4), H(2, –1)

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Find the slope of the straight line passing through the two given points.

(if the answer is $-\frac{1}{2}$ , input -1/2 )

I(4, –3), J(–5, 7)

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Find the slope of the line segment CD.

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Find the inclination of the line segment with the slope of 0.25.

(Give the answers correct to 3 significant figures if necessary.)

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Find the inclination of the line segment with the slope of $\frac{7}{5}$  .

(Give the answers correct to 3 significant figures if necessary.)

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If the slope of the straight line passing through the points C(5, m) and D(7, –5) is 3, find the value of m.

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If the slope of the straight line passing through the points E(1, –6) and F(n, –9) is $-\frac{3}{2}$  , find the value of n.

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In the figure, a straight line L with slope $-\frac{1}{2}$   passes through the point A(–4, 5). L cuts the x-axis at P. Find the coordinates of P.

Slopes of the parallel lines

Subject | Subject

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Slopes of the perpendicular lines

Subject | Subject

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Straight lines L₁ and L₂ are a pair of parallel lines. Find the slope of L₂ if the slope of L₁ is 0.

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Straight lines L₁ and L₂ are a pair of parallel lines. Find the slope of L₂ if the slope of L₁ is 5.

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Straight lines L₁ and L₂ are a pair of perpendicular lines. Find the slope of L₂ if the slope of L₁ is -3.

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Straight lines L₁ and L₂ are a pair of perpendicular lines. Find the slope of L₂ if the slope of L₁ is 7.

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Straight lines L₁ and L₂ are a pair of perpendicular lines. Find the slope of L₂ if the slope of L₁ is $-\frac{2}{9}$  .

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In the figure, a straight line L₁ passes through the points A(–1, 4) and B(3, 2). A straight line L₂ passes through the point C(–2, 2) and parallel to L₁. L₂ cuts the y-axis at D. Find the coordinates of D.

Mid-point Formula

Subject | Subject

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Section Formula

Subject | Subject

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M is the mid-point of the line segment AB. Find the coordinates of M.

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M is the mid-point of the line segment AB. Find the coordinates of M.

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M is the mid-point of the line segment AB. Find the coordinates of M.

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M is the mid-point of the line segment AB. Find the coordinates of M.

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M is the mid-point of the line segment AB. Find the coordinates of M.

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P is a point lying on the line segment AB. Find the coordinates of P.

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P is a point lying on the line segment AB. Find the coordinates of P.

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P is a point lying on the line segment AB. Find the coordinates of P.

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P is a point lying on the line segment AB. Find the coordinates of P.

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M is the mid-point of the line segment AB. Find the coordinates of B.

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M is the mid-point of the line segment AB. Find the coordinates of B.

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M is the mid-point of the line segment AB. Find the coordinates of B.

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P is a point lying on the line segment AB. Find the coordinates of B.

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P is a point lying on the line segment AB. Find the coordinates of B.

End of Ch.10 revision

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