Math 9th Chap 7 : Topic 2 - Maryam Publications

Math Chapter 7 : Topic 2

The distance formula is derived using

1 / 24

The midpoint of a line segment represents:

A) The end of the segment

B) The farthest point

C) The average of coordinates

D) The slope of the line

2 / 24

Find the midpoint of $A(2,4)$ and $B(6,8)$.

A) $(2,6)$

B) $(8,12)$

C) $(3,5)$

D) $(4,6)$

3 / 24

If one endpoint is $(0,0)$ and the other is $(8,6)$, the midpoint is:

A) $(0,0)$

B) $(4,3)$

C) $(2,3)$

D) $(8,6)$

4 / 24

If midpoint of $(x,2)$ and $(4,6)$ is $(3,4)$, then $x$ equals:

A) $4$

B) $2$

C) $8$

D) $6$

5 / 24

Which property is always true for the midpoint?

A) It divides line into equal halves

B) It lies outside segment

C) It changes with slope

D) It divides line in $1 :2$ ratio

6 / 24

Midpoint of $(- 2, 4)$ and $(6, - 2)$ is:

A) $(2,1)$

B) $(1,2)$

C) $(4,2)$

D) $(2,- 1)$

7 / 24

If midpoint is $(0,0)$, then endpoints must be:

A) On axes

B) Positive

C) Opposite of each other

D) Equal

8 / 24

Midpoint of $(3,5)$ and $(7,5)$ lies on:

A) horizontal line

B) $x$-axis

C) vertical line

D) $y$-axis

9 / 24

Which expression gives $x$-coordinate of midpoint?

A) $x_{1} x_{2}$

B) $x_{1}^{2}+x_{2}^{2}$

C) $\frac{x_{1} + x_{2}}{2}$

D) $x_{1}-x_{2}$

10 / 24

Midpoint of $(- 4, - 6)$ and $(4, 6)$ is:

A) $(2,2)$

B) $(4,6)$

C) $(0,0)$

D) $(- 2,-2)$

11 / 24

If midpoint is $(5,3)$ and one endpoint is $(2,1)$, the other endpoint is:

A) $(8,5)$

B) $(10,6)$

C) $(7,3)$

D) $(6,4)$

12 / 24

Which situation gives midpoint equal to one endpoint?

A) Vertical line

B) Horizontal line

C) Different coordinates

D) Both endpoints same

13 / 24

Midpoint of $(a,b)$ and $(c,d)$ depends on:

A) multiplication

B) division only

C) averaging

D) subtraction

14 / 24

If endpoints are $(1,3)$ and $(5,7)$, midpoint is:

A) $(4,6)$

B) $(3,5)$

C) $(2,4)$

D) $(6,8)$

15 / 24

Midpoint formula is derived from:

A) Slope formula

B) Algebraic identity

C) Section formula (ratio $1 :1$)

D) Distance formula

16 / 24

If midpoint is $(2, - 3)$, endpoints could be:

A) All of these

B) $(6,- 9)$ and $(- 2,3)$

C) $(4,- 6)$ and $(0,0)$

D) $(2,- 3)$ and $(2,- 3)$

17 / 24

Midpoint always lies:

A) Between endpoints

B) Outside line segment

C) At origin

D) On axes only

18 / 24

If endpoints have same $x$-coordinate, midpoint lies:

A) On origin

B) On vertical line

C) Outside plane

D) On horizontal line

19 / 24

Midpoint of $(2a, 2b)$ and $(4a, 4b)$ is:

A) $(3a,3b)$

B) $(6a,6b)$

C) $(2a,2b)$

D) $(a,b)$

20 / 24

If midpoint is $(m,n)$, then:

A) $m$, $n$ are averages

B) $n=$ difference of $y$

C) $m=$ difference of $x$

D) $m$, $n$ are products

21 / 24

Midpoint divides a segment into:

A) four parts

B) unequal parts

C) three parts

D) equal lengths

22 / 24

Midpoint of $(0,6)$ and $(6,0)$ is:

A) $(6,6)$

B) $(2,2)$

C) $(3,3)$

D) $(0,0)$

23 / 24

If endpoints are reflections across origin, midpoint is:

A) Depends on slope

B) $(1,1)$

C) $(- 1,- 1)$

D) $(0,0)$

24 / 24

Midpoint helps in finding:

A) equation only

B) length only

C) slope only

D) center of segment

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