Question

In the figure below, segment RS is the altitude of the hypotenuse of triangle PQR.

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0300_Subtest_05_18/image0024e1c86a3.jpg
Identify the corresponding sides of the similar triangles formed.

side QR and side PS

side QS and side PQ

side SR and side PS

side RS and side PQ
I'm pretty sure the answer is A
@apoorvk?

Answer 1

Or B, but I don't think C or D is right bc SR/RS is the altitude of the triangle. :/

Answer 2

Hm hmm.. Final answer? :D

Answer 3

lol um um um I think it's B but idunnow :O

Answer 4

what is final answer?
is it C?

Answer 5

haha omg I'm so confused now

Answer 6

You need to find two triangles that have two angles the same.

Answer 7

Notice that the blue angles are the same because they are both right, and the green angles are the same because they just freaking are.

Answer 8

lol green has logic. I like it. xD

Answer 9

It is, in fact, A.

See QR and and PS are the corresponding altitudes. Angle P is common, and angle S and angle R are correspondingly equal.

Answer 10

I disagree.

Answer 11

Why do you disagree @smoothmath? What do you think the answer should be and why?

Answer 12

I don't give answers =)

Answer 13

I asked why -___-

Answer 14

Do you see the similar triangles I've marked? The one circled in red and the large triangle?

Answer 15

yeah

Answer 16

You can figure out what the corresponding sides are between those two triangles.

Answer 17

You think it's C?

Answer 18

*sigh*
Throwin' out guesses and hopin' I'll tell ya.

Answer 19

I didn't guess -__- SR and PS looked like they corresponded :/


corresponding angles
plural noun Mathematics
the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

but I guess RS isn't an angle. urg I still hate geometry lol

Answer 20

@SmoothMath why do you disagree?

Answer 21

Although B seems as though it would be corresponding because they are on the same line. Except it wouldn't bc PQ would make it not it's on triangle it would combine them. I kinda think Apoorvk was right...

Answer 22

Figure out a PAIR of similar triangles. How do we do that? We show that the two triangles have a couple of angles congruent. If two angles are congruent, then all 3 are.

Great, once you have 2 pairs of triangles, just show which sides are corresponding. The way to think about this is to look at a side on one of the triangles and consider which two angles it connects.

Answer 23

oh yeah. am really so so sorry, I made such a silly idiotic mistake! I was wrong, actually tri.PSR ~ tri.PRQ

Answer 24

Apoorvk, let me take this.

Answer 25

Sorry Reb and Smoothie, I did bad.. :\ Yeah take this man, all yours.

Answer 26

Beccah, do you see what I'm trying to get at in that picture there? Know WHICH TWO triangles you are calling similar. And know WHICH ANGLES are congruent between the two.

Answer 27

Talk to me, cutesie buttons.

Answer 28

Thanks for trying @apoorvk :)

lol wow and I'm looking at it xD give me a sec dollface

Answer 29

D: Is it C?! Because it makes sense, like the little triangle is simialr to the bigger one making it correspond. :O

Answer 30

D= no

Answer 31

Just talk to me, do you understand what I've done so far? You see that those two triangles are similar? The little one and the big one?

Answer 32

Yeah I see that

Answer 33

Saying that the triangles are the similar means that they are the same shape but different sizes.

Answer 34

Right

Answer 35

So that smaller one doesn't look the same shape, but we could turn it around and it would be the same.

Answer 36

So, in your head, turn it around so that the shapes are the same.

Answer 37

yeah :D

Answer 38

So now, R= Q, P=P and S=R?

Answer 39

Those are the way the angles match up. Now use that to figure out how the sides match up. The sides between matching angles should be corresponding.

Answer 40

PS=PR
PR=PQ
SR=RQ

??

Answer 41

Yup.

Answer 42

:D THANK YOU so much! HUGS lol

Answer 43

Aww my pleasure. HUGS to you too, cutesie buttons. =D

Answer 44

haha :D