ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
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: Proving Congruency by Mapping One Triangle on Top of Another 4 Views
Share It!
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
Related Videos
Which is the best way to revise and combine sentences 1 and 2?
Where would the following sentence best be placed?
Which of the following is best to insert at the beginning of sentence 8?
Which is the best location for sentence 9?
Which of the following sentences is best to insert between sentences 11 and 12?