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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: Proving Congruency by Mapping One Triangle on Top of Another 4 Views
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Description:
Select the sequence for triangle ABC that shows that triangle ABC is congruent to triangle DEF.
Transcript
- 00:02
Okay yes i mash shmoop er's Here we go another
- 00:04
one with the angles and boxes Here gordon graphs triangles
- 00:08
abc here and df there on the coordinate plane Select
- 00:11
the sequence for triangle abc that shows that triangle abc
- 00:15
is congruent to triangle d e f So to prove
Full Transcript
- 00:23
the triangles are khun grew in using translations gordon must
- 00:27
map one triangle onto the other to avoid finding the
- 00:30
coordinates for each stephanie sequence of translations Gotta figure out
- 00:34
which sequence would place the triangle in the correct quadrant
- 00:37
Right So got quadrant four there that it's sitting in
- 00:40
rotating now degrees about the origin lanes The triangle in
- 00:42
quadrant three reflecting over the x axis places it back
- 00:47
in quadrant two and shifting it down two units while
- 00:50
probably leaves it in quadrant two So the first series
- 00:53
of translations a is out Let's Try the second siri's
- 00:56
be here What if we reflect over why Access and
- 00:59
we get quadrant one reflect over the x axis We
- 01:01
have quadrant four Then we rotated two hundred seven degrees
- 01:05
about point c That's quadrant three You know it didn't
- 01:08
work either Did it Moving on How about third one
- 01:10
See here Okay Rotate ninety degrees about point b Get
- 01:14
quadrants of one and two i guess Shift nine units
- 01:16
Right That's quadrant one Shift eight units down is probably
- 01:20
quite a bit three Looks like take a closer look
- 01:22
at the sequence Well a rotation of nine degrees about
- 01:25
point b would result in the bc line being parallel
- 01:28
to the x axis Those translation won't work so by
- 01:32
default the last sequence is the correct one d Here
- 01:35
look at the sequence Through the eyes are coordinates of
- 01:38
point b there rotate to seventy about point being that
- 01:41
gets us well is a negative five two and then
- 01:44
shift eight units down We have negative five negative six
- 01:47
and then shift nine units right for minus six We'll
- 01:51
be corresponds to e and e is four negative six
- 01:54
So this is the correct sequence of translations answers day 00:01:58.45 --> [endTime] happening Move on From this we are shmoop
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