Ask your own question, for FREE!
Mathematics 13 Online
OpenStudy (anonymous):

so i am in need of help with proofs on congruent triangles, i have 2 questions i need help with, anyone willing to show me what to do step by step? please? ;n;

Directrix (directrix):

Post the theorem and the diagram. Is the proof a 2-column deductive proof?

OpenStudy (anonymous):

Given: line PG is congruent to SG and PT is congruent to ST. Prove angle GPT is congruent to angle GST and yes i think so i have to show a statement and reason. |dw:1379996559307:dw|

OpenStudy (anonymous):

i understand that so far i should have something like :|dw:1379996703696:dw| considering this was stated hence the "given" reason. yes?

Directrix (directrix):

Given: Segment PG is congruent to SG and PT is congruent to ST Prove angle GPT is congruent to angle GST Statements ---------- 1. Segment PG ≅ Segment SG 2. Segment PT ≅ Segment ST 3. Segment TG ≅ Segment TG 4. Triangle GPT ≅ Triangle GST 5. <GPT ≅ <GST

Directrix (directrix):

@Kitteh Here are the statements. Your task is to write the reasons. Okay?

OpenStudy (anonymous):

okay i'll try x: |dw:1379997461036:dw| am i at least close?

Directrix (directrix):

Close, yes. # 3 is --> 3. Segment TG ≅ Segment TG Reflexive Property #4 is a triangle congruence postulate but not AAS. #5 has to do with corresponding parts of congruent triangles. ---------- So, try again for the reasons for steps #4 and #5

OpenStudy (anonymous):

4. AAA? 5. i'm totally lost.

Directrix (directrix):

#4 is one of the reasons on the attached chart. Look at the chart and look at the diagram.

OpenStudy (anonymous):

ASA? im just completely guessing from what i think i remember ;x;

Directrix (directrix):

In this proof, we have three sides of one triangle congruent to three sides of another triangle. We do not know anything about angles being congruent until AFTER the triangles are shown to be congruent. Which reason has ONLY sides in it?

OpenStudy (anonymous):

SSS?

Directrix (directrix):

SSS Postulate is correct.

Directrix (directrix):

For the last step, you have to know about the relationship of corresponding parts of congruent triangles. Have you seen this in your textbook; CPCTC or perhaps CPCT ?

OpenStudy (anonymous):

i think soo saying the first one out loud sounds familiar

Directrix (directrix):

CPCTC means corresponding parts of congruent triangles are congruent. That is how we know this --> 5. <GPT ≅ <GST is true.

OpenStudy (anonymous):

oh okay!o: can you help me with another proof please?

Directrix (directrix):

Close this thread and post the new theorem and diagram in a new thread. Then, I'll try to help.

OpenStudy (anonymous):

alrighty!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!