# TSI Math: Identifying the Coordinates of a Translated Shape

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