Midpoint of a Line Segment

Q.

A line which cuts another line segment into two equal parts is called a

1. midpoint
2. bisector
3. both (a.) and (b.)

Q. If $\left(1,0\right)$ is the midpoint of the line joining the points A $\left(-6,-5\right)$ and B, then the coordinates of B are

1. $\left(8,3\right)$
2. $\left(8,5\right)$
3. $\left(5,3\right)$
4. $\left(-8,-5\right)$

Q.
What are the coordinates of the midpoint of the line segment joining the point $(4,2)$ and the origin?

1. $(2,3)$
2. $(3,2)$
3. $(2,1)$
4. $(1,2)$

Q.

What is the midpoint of (2, 7) and (4, 3)?

1. $(3,5)$
2. $(1,2)$
3. $(2,1)$
4. $(5,3)$

Q. The midpoint of the line segment joining the points $(0,-2)$ and $(4,-2)$ is

1. $(1,-1)$
2. $(-1,1)$
3. $(2,-2)$
4. $(-2,2)$

Q.
The midpoint of the line segment joining the point $(-3,-3)$ to the origin is

1. $(-0.5,-0.5)$
2. $(-1,-1)$
3. $(-1.5,-1.5)$
4. $(-2,-2)$

Q. The midpoint of the line segment joining $(A,3)$ and $(4,B)$ is $(3,5)$. What are the values of $A$ and $B$?

1. $A=2,B=2$
2. $A=7,B=7$
3. $A=7,B=2$
4. $A=2,B=7$

Q. What are the coordinates of the midpoint that lies between the point $(0,4)$ and the origin?

1. $(2,0)$
2. $(0,2)$
3. $(1,0)$
4. $(0,1)$

Q. What are the coordinates of the midpoint of the line segment joining the points $(-1,4)$ and $(7,-3)$?

1. $(3,\frac{1}{2})$
   
2. $(\frac{1}{2},3)$
   
3. $(1.5,\frac{1}{2})$
   

Q.
The cooridinates of the midpoint of the line segment joining the points $(-2,2)$ and $(1,-1)$ are

1. $M(-1,1)$
2. $M(1,-1)$
3. $M(-0.5,0.5)$
4. $M(0.5,-0.5)$

Q. If (1, 4) is the midpoint of the line joining the points A(-5, 2) and B, then find the coordinates of B.

1. $(7,6)$
2. $(6,7)$
3. $(7,-6)$
4. $(-7,6)$

Q. Which of the following points represents point $F$ which is the midpoint between $C(5,0)$ and $D(5,-4)?$

1. $(5,-1)$
2. $(5,-2)$
3. $(5,-3)$

Q.
What are the coordinates of the midpoint joining the points $A(x_1,y_1)$ and $B(x_2,y_2)$?

1. $(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2})$
2. $(\frac{x_1+x_2}{2},\frac{y_1-y_2}{2})$
3. $(\frac{x_1-x_2}{2},\frac{y_1+y_2}{2})$
4. $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Q. The point Q$\left(x,y\right)$ is equidistant from two points P $\left(a+b,b-a\right)$and R $\left(a-b,a+b\right)$ such that P, Q, R lies on same straight line drawn on cartesian plane, then value of $\left(x,y\right)$ will be

1. $\left(\frac{a}{2},\frac{b}{2}\right)$
2. $\left(a,b\right)$
3. $\left(\frac{a+b}{2},\frac{a-b}{2}\right)$
4. $\left(\frac{b}{2},\frac{a}{2}\right)$

Q. If $C$ is the midpoint of $A(-1,3)$ and $B(7,3),$ then

1. $AC=4$ units
2. $AC=3$ units
3. Slope of $AC=$ Slope of $CB$
4. Slope of $AC\ne$ Slope of $CB$