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GradeLine Segment

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There are Four Points $A,B,C,D$ on a straight line the distance between $A$ and $B$ is $3cm$. $C$ and $D$ are both twice as far from $A$ as from $B$ then the distance between $C$ and $D$ is

$A)1cm$

$B)2cm$

$C)3cm$

$D)4cm$

$A)1cm$

$B)2cm$

$C)3cm$

$D)4cm$

Give a definition for line segment

How many line segments are there in the given figure?

Find the ratio in which the point \[(11,15)\]divides the line segment joining the points \[(15,5)\]and \[(9,20)\]

Identify the symbol of line segments from the following options

$\begin{align}

& \left[ a \right]\overleftrightarrow{AB} \\

& \left[ b \right]\overline{AB} \\

& \left[ c \right]\overrightarrow{AB} \\

& \left[ d \right]\text{ None of these} \\

\end{align}$

$\begin{align}

& \left[ a \right]\overleftrightarrow{AB} \\

& \left[ b \right]\overline{AB} \\

& \left[ c \right]\overrightarrow{AB} \\

& \left[ d \right]\text{ None of these} \\

\end{align}$

Tell the following statement is true (T) or false (F):

Every segment is a ray

Every segment is a ray

Number of end points a line segment has

$\left( a \right)$ Three

$\left( b \right)$ None

$\left( c \right)$ Two

$\left( d \right)$ One

$\left( a \right)$ Three

$\left( b \right)$ None

$\left( c \right)$ Two

$\left( d \right)$ One

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of \[\Delta ABC\].

(i). The median from A meets BC at D. Find the coordinates of the point D.

(ii). Find the coordinates of the point P on AD such that AP: PD = 2: 1

(iii). Find the coordinates of points Q and R on medians BE and CF respectively such that BQ: QE =2:1

(iv). What do you observe? [Note: The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2:1]

(v). If A \[({x_1},{y_1})\], B \[({x_2},{y_2})\] , and C \[({x_3},{y_3})\] are the vertices of \[\Delta ABC\], find the coordinates of the centroid of the triangle.

(i). The median from A meets BC at D. Find the coordinates of the point D.

(ii). Find the coordinates of the point P on AD such that AP: PD = 2: 1

(iii). Find the coordinates of points Q and R on medians BE and CF respectively such that BQ: QE =2:1

(iv). What do you observe? [Note: The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2:1]

(v). If A \[({x_1},{y_1})\], B \[({x_2},{y_2})\] , and C \[({x_3},{y_3})\] are the vertices of \[\Delta ABC\], find the coordinates of the centroid of the triangle.

Prove that every line segment has one and only one midpoint.

Find the ratio in which the line segment joining the points A (3, -3) and B (-2, 7) is divided by the x-axis. Two times the x-coordinate of the point of division is

Line segment has …………………. end points.

$

(a){\text{ no}} \\

(b){\text{ 2}} \\

(c){\text{ 1}} \\

(d){\text{ 3}} \\

$

$

(a){\text{ no}} \\

(b){\text{ 2}} \\

(c){\text{ 1}} \\

(d){\text{ 3}} \\

$

In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by y - axis?

(a) 5 : 1

(b) 1 : 5

(c) 2 : 3

(d) 3 : 2

(a) 5 : 1

(b) 1 : 5

(c) 2 : 3

(d) 3 : 2

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