4. given abc with vertices at a(1,-4), b(-1,-2), and c(-2,-5), prove or disprove that abc is isosceles

ABC is isosceles

Step-by-step explanation:

The coordinate of points given are:

A(1,-4)

B(-1, -2 )

C ( -2 , -5 )

For ABC to be isosceles , then AB must be equal to BC or AB = AC

The next thing to do  is to find the value of AB , BC and AC using the formula for finding distance between two points which is given by:

D =

Calculating AB first , we have

=

=

Therefore:

AB =

Calculating BC , we have :

D =

D =

D =

Therefore:

BC =

Calculating AC , we have :

D =

D =

D =

Therefore:

AC =

Since AC = BC then triangle ABC is isosceles

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

abde or 1,2,4, 5 is the answer

step-by-step explanation: