Look at the figure:

Which pair of triangles is similar?

Triangles PQR and PTS
Triangles SRT and TRP
Triangles PTR and PQR
Triangles RTS and PQR

Question

Look at the figure:


Which pair of triangles is similar?

 Triangles PQR and PTS
 Triangles SRT and TRP
 Triangles PTR and PQR
 Triangles RTS and PQR

weasel123 · Answer

the figure is not there

word2 · Answer

attachment

weasel123 · Answer

oh

word2 · Answer

I think the answer is the third one actually

word2 · Answer

am i wrong ?

mathmale · Answer

Let me start by asking y ou which triangle is not a right triangle.

word2 · Answer

PRT is not a right triangle

word2 · Answer

wait , i think its option four because triangle RTS and PQR are both right triangles and look similar

mathmale · Answer

Tricky problem.  Now I believe all three triangles are right triangles.  So, the question boils down to "which pair of triangles are similar?"

word2 · Answer

is it rts and pqr?

word2 · Answer

that are similar

mathmale · Answer

Possibly you could make this easier for yourself if y ou would very carefully measure the lengths of the hypotenuses of the triangles you think are similar.  Next, find the ratio of these lengths of hypotenuses.   Next, determine whether the ratios of the remaining two sides are the same.  If yes, the triangles are similar; if not, they are not similar.

This problem would be easier were the diagrams larger.

word2 · Answer

are you sure there isn't a faster way to do this?

rhondasommer · Answer

I can actually help with this

word2 · Answer

please do.. i'm extremely confused

rhondasommer · Answer

do you see what i put down and understand it?

word2 · Answer

yes i understand , the measurement of each of the triangles are 45 degrees ?

rhondasommer · Answer

I think that they might all be similar. Because the 90 angle in PTS was bisected all of the triangles are 90-45-45 :)

rhondasommer · Answer

also; because TRS was 90; and line PS has to equal 180 PRT has to equal 90

rhondasommer · Answer

all right angles equal 190 when thier 3 angles are added together

rhondasommer · Answer

180*

word2 · Answer

i understand However , the problem states based on the answers that only two triangles are similar.

word2 · Answer

there isn't an option that says that all three of the triangles are similar ..

word2 · Answer

i'm extremely confused

word2 · Answer

@Luigi0210

word2 · Answer

@skullpatrol

rhondasommer · Answer

thats extremely confusing considering that they are all similar

word2 · Answer

i just ended up guessing , thanks anyways