Dividing Line Segments in the Ratio X:Y

Q.

Draw a line, 8 centimetres long and divide it into five equal parts.

Q.

Draw a line, 10 centimetres long ad divide it in the ratio 3 : 4.

Q.

Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the length(in cm) of the smallest part.

1. 2.9

Q.

Draw a line, 6 centimetres long and divide it in the ratio 2 : 3 : 4.

Q.

Draw a line, 8 centimetres long and divide it in the ratio 4 : 5.

Q. How do we identify two points P and Q on a line segment AB such that AP : PQ = 1 : 2 and PQ : QB = 4 : 5?

1. Find the ratios in which the points P and Q divide line segment AB and then divide the line segment AB in the ratios obtained.
2. The points P and Q are points of trisection of the line segment AB. Identify the points P and Q by dividing AB into three equal parts.
3. None of the above
4. The point P is mid point of AB and Q is mid point of line segment PB. Identify the points P and Q by dividing AB accordingly.

Q.

In the construction given, what is the ratio in which the point C divides the line segment AB?

1. 1 : 1

2. 2 : 3

3. 3 : 5

4. 3 : 2

Q. Find the ratio in which D divides side BC if:
$\frac{Ar\left(\Delta ABD\right)}{Ar\left(\Delta ADC\right)}=\frac{2}{3}$.

1. 4:5
2. 4:3
3. 2:3
4. 1:1

Q. draw a line segment ab = 9.6cm and divide in the ratio of 7:5. also find the length of the smaller part

Q. Question 1
Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts.

Q. A line segment CD has two points R and S such that CR:RD=2:3 and CS:SD=5:6.

Sort in ascending order of lengths.

1. $CR$
2. $CS$
3. $RD$
4. $SD$

Q. A line segment CD has two points R and S such that CR:RD = 2:3 and CS:SD = 5:6.

Sort the following segments in ascending order of their lengths.
$CR$, $CS$, $RD$, $SD$

Q. Match the number of arcs drawn on ray BX which is at an acute angle to BC so as to divide BC in given ratio.

1. 5
2. 7
3. 13
4. 14

Q.

In the picture below, if the diagonals of the square ABCD intersects at O, then .

1. AB${}^2$ = OB${}^2$
2. AB${}^2$ < DC${}^2$
3. AO${}^2$= CO${}^2$

Q. The number of arcs that have to be drawn on ray BX which is at an acute angle to BC so as to divide BC in the ratio of 2:3.

1. 5
2. 2
3. 6
4. 3

Q.

Mention the proper order of identifying a point D on BC such that $\frac{BD}{DC}=\frac{2}{3}$.
1) Join $B_{5}C$ and draw a line parallel to $B_{5}C$ from $B_2$.
2) Identify the ratio in which the point D divides BC using the relation given.
3) Mark 5 points B₁, B₂, B₃, B₄ and B₅ on BX such that they are equidistant.
4) Construct a ray BX which makes an acute angle with line segment BC.
5) The point of intersection of the parallel line from B₂ with BC is the point D.

1. 2, 4, 3, 1, 5

2. 1, 2, 4, 3, 5

3. 4, 3, 2, 5, 1

4. 3, 5, 2, 4, 1

Q. While dividing a segment in a given ratio, we can not draw the ray at angles ______ and _____.

1. $0^{\circ }$
2. ${90}^{\circ }$
3. ${180}^{\circ }$
4. ${136}^{\circ }$

Q. In order to divide a line segment into a particular ratio, the length of the segment should be known.

1. False
2. True