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Geometry and Measurement Videos 36 videos

TSI Math: Understanding Properties of Reflections
13 Views

The point (4, -10) is reflected across the line y = x. What are the coordinates of the reflected point?

TSI Math: Identifying a Rotated Shape on a Graph
3 Views

Rotating the above figure 90° clockwise about the point (2, -5) results in which of the following?

TSI Math: What Happens to a Line's Equation When Its Graph Is Shifted?
6 Views

Kendra took the line y = -3x + 2 and shifted it 5 units right and 1 unit up. What is the equation of the resulting line?

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TSI Math: Describing a Shape's Translation 10 Views


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Description:

What rule describes the translation of ΔSTU to ΔS'T'U' ?


Transcript

00:02

Okay sy mash bumpers What rule describes the translation of

00:06

triangle stu teo triangle less prime t prime you prime

00:12

Please First things first figure out which way and how

00:17

far that triangle moved Since the translation has all the

00:21

points in a figure moving the same distance in the

00:24

same direction while we only need to figure out one

00:26

point here And that tells us what the rest are

00:28

let's start with s it begins its journey It negative

00:30

one negative one and ends on the slopes of mount

00:33

doom Wait Maybe that was somebody else The translated point

00:36

s prime is at negative seven seven right there So

00:39

to see how the point was translated from asked us

00:42

prime we need to look at the x and y

00:44

values separately Well the x value went from negative one

00:47

two Negative seven a distance of negative six And then

00:50

they see we're moving to left here So that's a

00:52

negative x value The y value went from negative one

00:55

two seven and change a positive eight Remember that the

00:58

point had to move one space from negative one to

01:00

zero and then another seven spots up to seven there

01:03

for eight total Not only is that the translation for

01:06

ask but for the entire figure in that handy So

01:08

how Does that translation right out then Well using our

01:11

translation rule of course that looks a little something like

01:14

this Ex plus A why plus be right Where a

01:17

is The change in x and b is the change

01:20

in why cleverly named here Well we could just feel

01:22

in those letters with actual numbers Well not the x

01:25

and y parts but we've got a equals negative six

01:27

and b equals eight so it looks like this extra

01:30

y and translates to x minus six Why plus eight 00:01:33.419 --> [endTime] And the answer is a that's it more shmoop

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