Question

What statement is needed to prove that ΔABC is similar to ΔDBA?

Segment BC is a hypotenuse.

Angle B is congruent to itself.

Segment BA is shorter than segment BC.

Segment BC is intersected by segment AD.

Answer 1

@phi i think its D

Answer 2

this problem looks like it has a typo.
we need to know the smaller triangle has a right angle.
Segment BC is intersected by segment AD. is not enough
we need to know BC is perpendicular to AD.

Answer 3

whats hypotenuse ?

Answer 4

hypotenuse is the longest side of a right triangle.
telling us BC is a hypotenuse is not new info because they tell us angle CAB (marked with the little box) is a right angle, which makes BC a hypotenuse

if (but the did not) tell us AB was a hypotenuse, we could use that ...

Answer 5

so is the answer B ?

Answer 6

no. I think there is a problem with this question. None of the choices allow us to prove the triangles are similar.

Answer 7

in order to solve it you dont need any of those statements AT ALL ?

Answer 8

we do need to know that angle ADB = 90º
we would know that if they told us
1) angle ADB is a right angle, or
2) side AB is a hypotenuse, or
3) AD is perpendicular to BC

but they did not... so there is a problem with this question. Ask your teacher about it.

Answer 9

hmmm ok

Answer 10

to make it more clear. the big triangle ABC has a right angle in it (we know because they mark angle BAC with a little square)

if we draw the little triangle like this