Final Exams and Video Playlists: www.video-tutor.net/

0:06 SSS≅ Postulate Explanation 0:27 SAS≅ Postulate Explanation 0:40 ASA≅ Postulate Explanation 0:57 AAS≅ Postulate Explanation (1:09 Clarification: HL≅ Postulate is not discussed but is often considered a viable 5th option) 1:13 CPCTC Explanation (1:30 Clarification: second triangle should have the Δ symbol) 2:32 SSS≅ Two Column Proof Example (with CPCTC) 6:15 CPCTC Example (6:19 Clarification: Instead of thinking of CPCTC as the "last step" of a proof, think of CPCTC as the "step after" the triangle congruence step. Proofs can have steps after CPCTC.) 6:53 SAS≅ Two Column Proof Example (with Reflexive Property and CPCTC) (9:38 Clarification: Writing it as segment CB is more appropriate than segment BC because A corresponds to C.) 11:28 SAS≅ Two Column Proof Example (with Radii and Vertical Angles and CPCTC) (12:17 Clarification: Writing it as segment DC is more appropriate than segment CD based on that the rest of the proof is written such that A corresponds to D. Because the triangles are isosceles, the prove statement could still be proved as is, but would require minor adjustments to lines 2, 3, and 4.) (15:10 Mistake: first angle should be AEB, fixed at 17:08) 19:11 ASA≅ Two Column Proof Example (with Parallel Lines and Alternate Interior Angles and Vertical Angles and CPCTC) (20:00 Clarification: Writing it as segment ED is more appropriate than segment DE based on that the rest of the proof is written such that A corresponds to E.) (22:36 Clarification: Writing it as segment EC is more appropriate than segment CE because A corresponds to E.) (24:04 Mistake: postulate used is ASA, see 23:39) (24:09 Clarification: One could use alternate interior angles B and D instead of the vertical angles or instead of angles A and E. In either case, the proof would then use the AAS postulate instead.) 24:45 AAS≅ Two Column Proof Example (with Angle Bisector and Reflexive Property and CPCTC) 29:18 ASA≅ Two Column Proof Example (with Supplements and Midpoint and Vertical Angles and CPCTC) (32:37 Clarification: Writing it as segment EC is more appropriate than segment CE because A corresponds to E.) 34:33 SAS≅ Two Column Proof Example (with Isosceles Triangles and Vertical Angles and Segment Addition and CPCTC) (35:30 Clarification: Writing it as segment CE is more appropriate than segment EC because A corresponds to C.) (36:45 Clarification: Proving the larger triangles ADC and CEA congruent is a more efficient proof than the method shown in video. See below for the alternate proof.) (41:34 Mistake: There should be two more statements between lines 5 and 6: DC=DB+BC and EA=AB+BE, both with the reason Segment Addition. Line 6 should be DB+BC=EB+BA because D corresponds to E. The reason for line 6 should be Substitution because of the substitution of the two extra lines into line 5.) (43:26 Clarification: Writing it as segment EB in both lines 8 and 9 is more appropriate than segment BE because D corresponds to E, and this would follow cleanly from the revised line 6.) (44:37 Clarification: Writing it as segment CE is more appropriate than segment EC because A corresponds to C.) 44:45 SAS≅ Two Column Proof Example (with Segment Addition and Reflexive Property and CPCTC) (45:31 Clarification: Writing it as segment CD is more appropriate than segment DC because A corresponds to C.) (49:25 Clarification: Writing it as segment CB is more appropriate than segment BC because A corresponds to C.) (50:10 Mistake: There should be a ≅ symbol between the two angles.) (51:30 Clarification: Writing it as segment CD is more appropriate than segment DC because A corresponds to C.) 36:45 SAS≅ Proof (Efficient Method) (1) DC ≅ EA | Given (2) ∠1 ≅ ∠2 | Given (3) AC ≅ CA | Reflexive Property (4) ΔCAD ≅ ΔACE | SAS≅ (5) AD ≅ CE | CPCTC

Hello everyone, at 24:21, it should be ASA and not SAS.

PLS DO FACE REVEAL I NEED TO KNOW the face of a man SMARTER THAN ALL OF MY TEACHERS

Thank You so much!!! I wish you were our math teacher.

Who else studying for a test last minute that they gotta do tommorow

Hi man I know you made this video two years ago and I was studying for a test and it helped a lot

You might not be a chef, but you’re cooking with this one! Love you bro, you’re such a life saver ❤️

We only have 1hr math per day. And this 1 hr is more productive. Ur theeee bestttt!!

THIS MAN IS ALWAYS THERE WHEN I NEED HELP I LOVE YOU

Hi, thank you for this video, I have my mid term exams in 3 days, this 5 years old video really helped me.

Dude I LOVE YOU, I been struggling with proof all semester and you saved me. You saved me thank you

I’ve never got proofs but this video got me the closest to understanding them but these videos are great and help me out a lot.

JG, thank you so much for explaining this so well! God bless

Wow, solved almost every problem under 30 seconds here!! Thanks sir, you have made this very clear!! :)

You are the best teacher ever I seen

watching this the night before my 3rd qtr. exam. Thx :)

Omg this was so helpful! Thank you!!!!

Here is how I did it. Statement: 1.) Line segment DC is congruent to line segment EA. Reason: 1.) Given. Statement: 2.) Angle 1 is congruent to angle 2. Reason: 2.) Given. Statement: 3.) Line segment AC is congruent to line segment AC. Reason: 3.) Reflexive property Statement: 4.) Triangle ACE is congruent to Triangle CAD. Reason: 4.) Side Angle Side Postulate (Reasons 1 Through 3) Statement: 5.) Line segment AD is congruent to line segment EC. Reason: 5.) Congruent parts of congruent triangles are congruent.

Tysm mate, this is sooooo useful, got a quiz tomorrow. Gonna re watch this for the exams!

You are helping me alot ,I was struggling with proofs.

Currently failing geometry, this is a LIFESAVER for someone who doesn’t pay attention in class 😅

Thanks, this helped a lot

MR. Organic Chemistry Tutor, thank you for another long video/lecture on CPCTC Geometry Proofs Made Easy. I found this Two Column Proof very lengthy and confusing from start to finish. I did not understand this Two column Proof, so I will review this topic for more clarification. There is also an error on line number 8 in the Two Column Proof, a congruent sign is missing.

CORRECTION: At 24:00 the postulate is ASA instead of SAS (The vertical angles, equal sides from bisector, and the alternate interior angles). In geometry proofs, it's easy to go fast and incorrectly label something that may lead you lose points. BE CAREFUL.

Test is in 5 mins Edit: I passed with a 98% 49/50

So Helpful Thank you

For those who are confused at 15:08 he meant to write

Thank god you are such a life saver

BEST CHANNEL FR

Id recomend this video for tests

Thank God this exist

For 44:44 since the third step is

I have been enlightened

Hey JG, in 5:58, you mean the opposite side of the angle has to be congruent based on the SAS theorem, right? I keep hearing "based on the side angle theorem" and wondering whether I missed something. thank you so much to whoever answers 🙏

At 21:33, when you do the angle B and D are alternate interior route, I ultimately got AAS instead of ASA. Would this be correct or incorrect? someone please help.

I’m so bad at math this helped a lot

Thank you

I feel like the problem @44:38 could have way more simple if you proved the bigger triangles congruent to each other then go on to prove that seg. AD is congruent to seg, EC

I have a test in less than 12 hours and here I am cramming for it bc i dont get anything

man, u're good!

Thank you so much I got an A from watching you videos

Thank you. Finally my son get it!!!

13:20 Even if it looks like it touches the circle, it still cannot be said that line AE is congruent to line ED unless it is mentioned. Another way they could have pointed this out was if E was the midpoint of AD, therefore saying those lines are equal due to the definition of midpoint.

Please post more current pre cal preap vids .

24:37 how did you get SAS when you only got 2 angles and 1 side??

THanks, I was always confused about these, bc I had to take a very important exam, and I saw this question with these on it and didnt know how to answer it..SO next time I take it, I will know..thank you.

Thankyou

6:30 why isn’t it HL?

do you have to use cpctc?

YAY 1st VIEWS AND COMMENT AND LIKE!

36:07

omg i get it now make more sense

at 16:00 It doesn't matter which one you choose because it will remain the same angle however if you were to say the triangles are congruent you should mention them in order

At 9:36 why is AB congruent to BC and not AB and CB?

Hey, I, am confused on the difference between ASA and AAS? They both have 2 sides and 1 angle. What’s the difference? Thanks

At 24:21, isn't it supposed to be ASA and not SAS?

reflexive property is also know as common side in my country{lebanon}

Like the video. Can you fix the typo in the title? Thanks.

Wait a minute, on the second problem, isn’t the 2nd statement’s reason supposed to be the definition of perpendicular lines, since we all know that these lines form right angles?

24:43 I think that's supposed to be asa ?

I love you.

isnt ASA = AAS? whats the different where it is

Can u pls not use blue because it's dark and can't see very well.

pov: your only here for this man's ✨v o i c e✨......(cause i am)

37:53 why it isn't ASA?

time : 6:47 am test time : 11:10 am

Imma close my eyes in sleep (I'm sleepy it's 12 am my exam is tomorrow and we have a late passed group project that we didn't finish)

Hi pytha

Istg if i don’t pass my exam

that should be ASA congruence

do not write defot write definition of mid point its not goods for kids la tchiiiipppp!!!!

IM NOT WATCHING AN HOUR OF THIS SHIT

too slow la go faster next time mon petit

that should be ASA congruence