What is the relationship of triangles PQR and STU?
A).The triangles are similar by SAS.
B).The Triangles are both right, but they are neither similar nor congruent.
c).The triangles are similar by AA.

Question

anonymous · Answer

attachment

campbell_st · Answer

well looking at the diagram both have right angles 

so then check the corresponding sides are in the same ratios

which means you need to check if 

$$\frac{QR}{UT} = \frac{QP}{TS}$$

if they are equal the triangles would be similar by SAS test

hope it helps

campbell_st · Answer

since the triangles had different side lengths, they can't be congruent

anonymous · Answer

@campbell_st  Oh ok that helps a lot! So the right answer is  right?

campbell_st · Answer

well what did you find out about the ratio of sides 

does 16/20 = 8/10

anonymous · Answer

Yes they both equal 1.25

anonymous · Answer

@campbell_st

campbell_st · Answer

so you have corresponding sides in the same ratio and the included angles are equal... 

sounds like the SAS postulate for similar triangles has just been proven.

anonymous · Answer

@campbell_st  Thank you so much! Is it ok if I tag you if I have more questions....lol math isn't my "strong suit"

campbell_st · Answer

sure, I'm not sure how long I'll be here