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TSI Math: Reflecting a Triangle across the y-Axis 7 Views


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Description:

ΔABC has points A (0, 8), B (-3, 7), and C (1, -2). Where are these points after we reflect the triangle across the y-axis?


Transcript

00:02

Okay sy mash members Still more of these triangle thing

00:05

is alright Well abc has points ah away in the

00:08

nick of three seven one Negative too Where are these

00:11

points after we reflect the trang gle across the y

00:15

axis All right looking good now a track down the

00:21

reflection when the points reflected over the y axis you

00:25

know the tall one there it goes from one side

00:27

of the access to a point on the other side

00:29

just is far away If the points at x equals

00:31

negative three Well count over to the y axis One

00:34

two three then continue going And other three points one

00:36

two three toe add a point two x equals three

00:39

they're both three units away from the y axis but

00:42

on opposite sides Thank ya know reeves the matrix in

00:46

short when appointed reflected across the y axis the sign

00:49

of all the x values changes the y values on

00:52

the other hand don't change at all The image isn't

00:54

moving up and down in any way just side to

00:56

side so it's come back to point a in a

00:58

minute and i'll start with b and c Well we

01:00

already talked about point being negative three seven of it

01:03

since exits negative three moves to x equals three and

01:06

the y value doesn't change it all That brings us

01:08

to be prime there which is three seven right They're

01:11

using the same method on seve got one negative to

01:14

swap The sign of x x equals one Their tow

01:16

x equals negative one And don't touch the y value

01:19

at all not even with a ten foot wall So

01:21

now we get c prime is negative one negative too

01:24

and now look att a You have zero eight leave

01:27

Why alone because again there's no up or down movement

01:30

there and the sign of the x value hadn't changed

01:33

though either because well don't have a sign it Zero

01:36

there A prime is actually the same as a so

01:38

we have zero comma eight putting it all together The

01:41

answer is zero eight and then three seven and then

01:44

negative one Negative too so well that's it The the 00:01:48.046 --> [endTime] answer is b We're swamped and reflected

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