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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.

Mathematics
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@phi i think its D
  • 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.

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Other answers:

whats hypotenuse ?
  • 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 ...
so is the answer B ?
  • phi
no. I think there is a problem with this question. None of the choices allow us to prove the triangles are similar.
in order to solve it you dont need any of those statements AT ALL ?
  • 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.
hmmm ok
  • 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|

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