## Gabylovesyou one year ago 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.

1. Gabylovesyou

2. Gabylovesyou

@phi i think its D

3. phi

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.

4. Gabylovesyou

whats hypotenuse ?

5. phi

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 ...

6. Gabylovesyou

so is the answer B ?

7. phi

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

8. Gabylovesyou

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

9. phi

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.

10. Gabylovesyou

hmmm ok

11. phi

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 |dw:1396302963812:dw|