Graph ABC with A(4, 7), B(0,0), and C(8, 1).

Question

Graph ABC with A(4, 7), B(0,0), and C(8, 1).

a. Which sides of ABC are congruent? How do you know?

b. Construct the bisector of /B. Mark the intersection of the ray and AC as D.

c. What do you notice about AD and CD?

Answer 1

Hope this video helps, it includes an explanation of the distance formula as well as some graphs to help answer your question. Feel free to reach out for a private lesson if you found my video helpful!

Answer 2

a. AB = BC = √65 Distance formula

b. Do the construction.

c

Answer 3

AB = CB = √65;

So we have isocilies tryangle. End because bysector is median.

So Ad + CD = 1/2 AC = √52/2 = √13