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Geometry and Measurement Videos 36 videos
How long is the line segment connecting the points (-6, 7) and (5, -4)?
Any line that bisects the segment shown above must pass through which point?
Point B is the midpoint of segment AC. The coordinates of A are (-9, 3) and the coordinates of B are (2, -3). What are the coordinates of C?
TSI Math: Identifying the Coordinates of a Translated Shape 0 Views
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Description:
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?
Transcript
- 00:00
The points A at to one Be at oh three
- 00:05
and see at negative three Negative one Makeup angle abc
- 00:08
If it is translated five units up and seven units
- 00:11
to the left what are the coordinates of the resulting
- 00:14
image A translation happens when we take an image and
Full Transcript
- 00:22
slide it around in a certain direction like five up
- 00:25
in seven left to pick this example completely at random
- 00:28
without changing the image itself in any way to do
- 00:30
this each point in the image needs to move the
- 00:33
same way Sort of like a round dance on one
- 00:35
of those cowboy barn dance thing is yeah well moving
- 00:38
left and right changes appoints x value while moving up
- 00:41
and down changes the y value right well starting with
- 00:43
the x value shimmy over seven units to the left
- 00:46
clap twice when looking at a coordinate playing the value
- 00:48
of x goes up A zit moves to the right
- 00:51
so that means it decreases when it goes the left
- 00:53
so subtract seven from the x value of each point
- 00:56
With wise they're doing the same kind of thing but
- 00:58
up and down the graft and the y values increases
- 01:00
We go up the coordinate plane so add five to
- 01:02
the y values at each point Well then take a
- 01:05
quick look at some alternate forms for writing translations like
- 01:08
instead of saying trends like the drug angle five units
- 01:11
off And seven two left We could have saved our
- 01:13
breath and written the following Just this you know the
- 01:15
x minus seven The wine plus five thinking they're well
- 01:18
it's the same information but written much more succinctly and
- 01:21
you know math Feli shrink it down even more Amp
- 01:23
up the math itude and write it as translation t
- 01:27
negative seven five minutes Very clever Okay Now start moving
- 01:30
the triangle around Let's Start with a which is at
- 01:32
two One Subtract seven from the x Value produces two
- 01:35
minutes Have is negative five while adding five to the
- 01:37
y value results in one plus five is six Well
- 01:40
what to call the new translated pulling at negative five
- 01:43
six Well we could just keep going up the alphabet
- 01:46
and call it d or name it harold or something
- 01:48
There's another and better way at a little apostrophe mark
- 01:51
to the original points name making it a prime and
- 01:54
that's how it reads kind of like you know optimist's
- 01:57
cousin the prime has got some transforming going on I
- 02:00
say we did there now move on to be do
- 02:02
the exact same things before two zero three Subtract seven
- 02:05
from accent and five toe wide and nab the point
- 02:07
at negative seven Eight are growing little collection here and
- 02:10
finally see from negative three Negative one has negative three
- 02:14
minus seven is naked and for Acts and then negative
- 02:17
1 plus five is just four for what which creates
- 02:19
the point See prime negative ten four hey we're all
- 02:22
out of points a resulting triangular image Abc prime there
- 02:26
has the virtue sees negative five six negative seven eight
- 02:29
and negative ten four and the answer is b and 00:02:32.213 --> [endTime] that's It we are shmoop
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