Question

Use the figure below:
5)





If <1 is congruent to <2, what postulate can you use to prove that the triangles ABC and EBD are similar?

Answer 1

<1 = <2 Given

<b = <b Vertical Angles Theorem

ABC = DEB AA~ Postulate

Answer 2

6) In the diagram below of right triangle ACB, altitude intersects at D. If AD=3 and DB=4, find the length of BC in simplest radical form.

Answer 3

Is this from a test?

Answer 4

just some extra work

Answer 5

if angles of triangle ABC = Angles of triangle EBD
Then triangle ABC similar EBD.

In triangles ABC & EDF
\[<2=<1 \left( given \right)\]
<3=<4 (vertical opposite angles)
<5=<6 ( third angle of the triangle)
Hence triangle ABC similar to triangle EBD