Question

10. The coordinates of C and D are 4 and -28 respectively, and F mdpt CD. Solve for:

Answer 1

Answer:

a) mCD=7

b) mCF=7

c) mFD=7

d) F(2,-14)

Step-by-step explanation:

Let  the coordinates of C and D be (4,0) and (0,-28) respectively  and F is the midpoint of CD

a) mCD  

Slope formula  

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{-28-0}{0-4}$

$m= \frac{-28}{-4}$

$m= 7$

mCD=7

b) mCF  

mCF=mCD

Hence mCF=7

c) mFD

mFD=mCD

Hence mFD=7

d) Coordinates of F :  mid point formula

Mid points Formula

$x= \frac{x_2+x_1}{2}$

$x= \frac{0+4}{2}=\frac{0+4}{2}=2$

$y= \frac{y_2+y_1}{2}=\frac{-28+0}{2}=\frac{-28}{2}=-14$

coordinates of F are (2,-14)