Question

Point g and point h are the same distance from a point f. Which coordinates could be the location of point h? F(3, 2) G(4, 4)

Answer 1

Answer:

Point (5, 1) is the coordinate of point H

Step-by-step explanation:

Given the point F(3, 2), G(4, 4)

Also point G and point H are the same distance from the point F

We have to find the coordinates of point H.

Using distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$    

Let the coordinates of point H is (x,y)

GF=FH

$\sqrt{(3-4)^2+(2-4)^2}=\sqrt{(x-3)^2+(y-2)^2}$

$5=(x-3)^2+(y-2)^2$

Now the point which satisfied the above equation will the coordinate of point H

A $(1, 2):(1-3)^2+(2-2)^2=4\neq 5$

B $(4, 2):(4-3)^2+(2-2)^2=1\neq 5$

C $(5, 1):(5-3)^2+(1-2)^2=5=5$

D $(2, 5):(2-3)^2+(5-2)^2=10\neq 5$

Hence, point (5, 1) is the coordinate of point H

 

Answer 2

B. (4,2)

G is 1 right and 1 up  and point B is 1 right and 1 down