TSI Math: Identifying the Coordinates of a Translated Shape
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The points A (2, 1), B (0, 3), and C (-3, -1) make up ΔABC. If it is translated 5 units up and 7 units to the left, what are the coordinates of the resulting image?
Geometry and Measurement | Transformations and Symmetry |
Mathematics and Statistics Assessment | Transformations and Symmetry |
Product Type | TSI |
TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |
TSI Math | Geometry and Measurement |
TSI Mathematics | Geometry and Measurement |
Test Prep | TSI |
Transcript
slide it around in a certain direction like five up
in seven left to pick this example completely at random
without changing the image itself in any way to do
this each point in the image needs to move the
same way Sort of like a round dance on one
of those cowboy barn dance thing is yeah well moving
left and right changes appoints x value while moving up
and down changes the y value right well starting with
the x value shimmy over seven units to the left
clap twice when looking at a coordinate playing the value
of x goes up A zit moves to the right
so that means it decreases when it goes the left
so subtract seven from the x value of each point
With wise they're doing the same kind of thing but
up and down the graft and the y values increases
We go up the coordinate plane so add five to
the y values at each point Well then take a
quick look at some alternate forms for writing translations like
instead of saying trends like the drug angle five units
off And seven two left We could have saved our
breath and written the following Just this you know the
x minus seven The wine plus five thinking they're well
it's the same information but written much more succinctly and
you know math Feli shrink it down even more Amp
up the math itude and write it as translation t
negative seven five minutes Very clever Okay Now start moving
the triangle around Let's Start with a which is at
two One Subtract seven from the x Value produces two
minutes Have is negative five while adding five to the
y value results in one plus five is six Well
what to call the new translated pulling at negative five
six Well we could just keep going up the alphabet
and call it d or name it harold or something
There's another and better way at a little apostrophe mark
to the original points name making it a prime and
that's how it reads kind of like you know optimist's
cousin the prime has got some transforming going on I
say we did there now move on to be do
the exact same things before two zero three Subtract seven
from accent and five toe wide and nab the point
at negative seven Eight are growing little collection here and
finally see from negative three Negative one has negative three
minus seven is naked and for Acts and then negative
1 plus five is just four for what which creates
the point See prime negative ten four hey we're all
out of points a resulting triangular image Abc prime there
has the virtue sees negative five six negative seven eight
and negative ten four and the answer is b and 00:02:32.213 --> [endTime] that's It we are shmoop