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Transformations and Symmetry Videos 11 videos
The point (4, -10) is reflected across the line y = x. What are the coordinates of the reflected point?
Rotating the above figure 90° clockwise about the point (2, -5) results in which of the following?
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?
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
Full Transcript
- 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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