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TSI Math: Proving Two Triangles Are Congruent 4 Views


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Description:

Triangle 1 and Triangle 2 are congruent. Which theorems prove this?


Transcript

00:01

Okay sy shmoop er's get couple triangles for you okay

00:06

strangle one trial tour Khun growing here with theorems proved

00:09

that there Khun grew it Well to prove anything khun

00:16

grew int we need all the information we can muster

00:19

about that thing We just look at all the information

00:21

and see if we know all that we need to

00:23

know to use a psa s a s or a

00:27

s to prove both triangles are khun grew int right

00:31

side side angle ingleside side All that stuff Okay start

00:33

with triangle one Well since it has khun grew int

00:36

marks on two sides we can deduce it's an ice

00:39

oscillates triangle So the base single must also be khun

00:42

grew in right These three angles have tto add upto

00:45

one eighty So i saw sleaze triangle missing bass angles

00:48

using angle something room we can find the missing bass

00:51

singles like we just did here Fifty degrees and then

00:53

to ex since two x of one thirty and your

00:56

ex or sixty five years let's think about triangle to

00:59

while here's sixty five degrees What do you think So

01:02

it too is a nice sauce elise trying on its

01:04

legs or khun grueling with those of triangle one Both

01:07

base angles are sixty five degrees while doing a bit

01:10

of math and the angle Some theory Again we can

01:13

figure out the measure of the last remaining angle of

01:16

triangle to here So we've got six five degrees and

01:19

sixty five degrees and what is one eighty Well guess

01:22

what it's Fifty degrees So we have two sets of

01:25

khun group corresponding sides and three pairs of congruent corresponding

01:29

angles G this means we can prove congruence This means

01:33

we can prove khun grew into by c s r

01:36

a s or roll in which everyone we want That

01:39

means the correct answer is all of the above in 00:01:42.045 --> [endTime] that state

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