Question

In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and segment GI ≅ segment RT. Is this information sufficient to prove triangles GHI and RST congruent through SSS? Explain your answer.

Answer 1

so from these given what result - how you think ? look pls on my posted image

Answer 2

Side Side Side postulate would mean that they have the same sides? Both do?

Answer 3

I would say no, right?

Answer 4

ok pls step by step

what is the sum of angles measure of a triangle ?

Answer 5

180?

Answer 6

exactly

so than we have that from 3 angles measure 2 are the same - so equal how will be the 3rd ?

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
exactly

so than we have that from 3 angles measure 2 are the same - so equal how will be the 3rd ?
\(\color{#0cbb34}{\text{End of Quote}}\)
Now Im confused. Sorry Im slow...

Answer 8

No one is slow they just don't comprehend what people say sometimes

Answer 9

ok

there are angles A and B and C

on the second triangle D and E and F

so than given that A = D
B = E

how are C and F ?

Answer 10

so are equal too

Answer 11

bc. 180 -(A+B) = 180 - (D+E)

yes ?

Answer 12

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
bc. 180 -(A+B) = 180 - (D+E)

yes ?
\(\color{#0cbb34}{\text{End of Quote}}\)
yeah?

Answer 13

I think?

Answer 14

h2o

Answer 15

I can confirm that @jhonyy9 is right

Answer 16

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Timmyspu
I can confirm that @jhonyy9 is right
\(\color{#0cbb34}{\text{End of Quote}}\)
me too

Answer 17

ok

so than there are in case of two triangles every angles equals - so what what result from this - how are the sides corresponding to every angles ?

Answer 18

@Kyky232 what you think ?

Answer 19

I think Im confused

Answer 20

above we proven that every angles are equal

yes ?

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @braids36
h2o
\(\color{#0cbb34}{\text{End of Quote}}\)
w a t e r

Answer 22

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
above we proven that every angles are equal

yes ?
\(\color{#0cbb34}{\text{End of Quote}}\)
yes.

Answer 23

so than we know that every corresponding angles are equal from this what result ? not that every corresponding sides are equal too ?

Answer 24

ty

Answer 25

Or what are they going to add up to in the end?

Answer 26

@Kyky232 questions pls ?

Answer 27

This information would not help to prove the triangles are congruent through SSS. SSS= Side-Side-Side, and we only have one piece of information about sides. The other two are about angles. If we had three sides then it would work, but we don't. This information would help us prove triangles GHI and RST are congruent through ASA or AAS, but not SSS?

Eh?