Use the given coordinates to determine if triangle abc is congruent to triangle def. a(-2,-2) b(4,-2) c(4,6) d(5,7) e(5,1) f(13,1) distance formular: the picture length of each side (whole number) ab = cb = ac = de = ef = df = t/f triangle abc is congruent to triangle def

We can find distances

Length of AB:

A=(-2,-2)

so, x1=-2 , y1=-2

B=(4,-2)

so, x2=4 , y2=-2

now, we can use distance formula

now, we can plug values

Length of CB:

C=(4,6)

so, x1=4 , y1=6

B=(4,-2)

so, x2=4 , y2=-2

now, we can use distance formula

now, we can plug values

Length of AC:

A=(-2,-2)

so, x1=-2 , y1=-2

C=(4,6)

so, x2=4 , y2=6

now, we can use distance formula

now, we can plug values

Length of DE:

D=(5,7)

so, x1=5 , y1=7

E=(5,1)

so, x2=5 , y2=1

now, we can use distance formula

now, we can plug values

Length of EF:

E=(5,1)

so, x1=5 , y1=1

F=(13,1)

so, x2=13 , y2=1

now, we can use distance formula

now, we can plug values

Length of DF:

D=(5,7)

so, x1=5 , y1=7

F=(13,1)

so, x2=13 , y2=1

now, we can use distance formula

now, we can plug values

now, we can compare them

now, we can draw both triangles

Since, sides of both triangles are equal

so, by using SSS rule

triangle ABC and triangle DEF are congruent

so, this is TRUE........Answer

25

step-by-step explanation: