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5.6 Proving Triangle Congruence by ASA and AAS video 2

Added Dec 09, 2015 •

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okay guys we have another one of your favorite things with this award called proof yes just so excited right every single time so go ahead set it up complain cuz because I can't hear you today so I can't send you outside  these are state and reasons alright and what do we do first ever what time for proof that's right hopefully you guys said given ad is parallel to and BD is congruent to BC reason is given  is Mercury figure up with the given information that I've already done that for us what kind of them go ahead and make it darker on your paper and just in case you guys can't see member those arrows mean parallel okay so we can use a multiple of different thoughts and ideas to prove that these two triangles are congruent first of all I said that anytime we know that lines are parallel we should always look for  alternate interior angles this figure we've got angle D and angle see that are alternate interior angles can more than one way to do this proof put since this example says use angle side angle congruence theorem I'm going to do specific ways that it happens to end up that way if you see other things know that you are not wrong probably and that there are more than one way to solve this should approve we've got angle C and angles are congruent because they are alternate interior angle angle C is congruent to angle reason out inch Ingles stop three anytime you have two angles that are across from each other what are those called that's right hopefully you said vertical angles and vertical angles are congruent so I'm going to go ahead and draw into lines here when she lines here  so then now  I can say  angle this one you need to use three raising cannot just say angle B is congruent to angle beef we have to use angle a BC  no no I'm sorry baby is congruent to angle CB Renata's by vertical angles theorem when I look in those two have three pieces I'm so let's go ahead and look at what those pieces are this is an and then decide  and then an angle so then what can I say about my two triangles that they are congruent angle a BD is congruent to triangle ABC and I can count that is not 5 that's this before my angle side angle  congruent yay you can pause the video here people need to finish but I'm going to go ahead and move on to the next example modern progress in the diagram all that information prove who  set the two triangles are congruent when we always start with in a proof that's right you are giving good job can we have statements  and reasons  one is given books CB is perpendicular to ad de is perpendicular to ad AC is congruent to DC one is given bouquet I got this information perpendicular means that they make a right angle they make 90 degrees and then I know that ad is congruent to can you see if angles are 90° what do I know about angle a and angle d that they are congruent because they both equal 90 degrees so we're going to put angle in a  iskcon will it to angle d  Bloodstone right angle  congruence theorem if you play all right angles are congruent that is totally okay as well so again you could also just say all right angles are congruent the three  again we've got these things of that kind of look like a bowtie so we also know that those two play congruent by what theorem the vertical angles theorem so again we have to use three letters because multiple lines coming from that so angle a CD is congruent to angle CD by vertical angles 10 step 4  I notice that my two triangles now have three pieces this is an angle this is a sign  and that's an angle  so what can I say about my two triangles  stop they are congruent buy angle side angle alright I'm going to go ahead and stop this video here we got two more problems to do you guys got this no worries deep breaths almost done

Uploaded by Lauren Stouffer.

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5.6 Proving Triangle Congruence by ASA and AAS video 2

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