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Mathematics 16 Online
OpenStudy (anonymous):

The triangle ABC in the figure provided has midpoints labeled M and N and O. Complete the following transformation: HoHm : B

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

I'm not exactly sure what you mean when you say "HoHm : B "

OpenStudy (anonymous):

H forget hat tht means but o is the point o and m is the point m too so um idk

jimthompson5910 (jim_thompson5910):

can you draw out what "HoHm : B " really is?

OpenStudy (anonymous):

here ik an example of a problem like this but idk how to do this one but here one sec

OpenStudy (anonymous):

okay lets say that the letter is "c" instead of "b" and it goes (Hm) (Ho) instead of (Ho) (Hm) and the answer to it is "B"

OpenStudy (anonymous):

how they got the answer "B" to that problem idk whats what im asking is how to do these problems

jimthompson5910 (jim_thompson5910):

but the thing is, I don't know what you mean by Ho or Hm I get that m, n, o are the 3 midpoints, but what is the H?

OpenStudy (anonymous):

idk :/

OpenStudy (anonymous):

it means point of intersection

jimthompson5910 (jim_thompson5910):

same here, wish I did

jimthompson5910 (jim_thompson5910):

oh it does?

OpenStudy (anonymous):

i think where the lines meet

OpenStudy (anonymous):

theroem 9-8

jimthompson5910 (jim_thompson5910):

what does that theorem say

OpenStudy (anonymous):

one sec

OpenStudy (anonymous):

Theorem 9 – 8 A product of reflections in perpendicular lines is a half turn about the point of intersection where the lines intersect. It is denoted Hk.

jimthompson5910 (jim_thompson5910):

so Hk is a halfturn around the point k?

OpenStudy (anonymous):

and this process is a transformation idk if that helps

OpenStudy (anonymous):

this who problem is very confusing

jimthompson5910 (jim_thompson5910):

idk why they can't just say "rotate 180 degrees" lol

OpenStudy (anonymous):

these are my options for answers pointA pointB pointC

jimthompson5910 (jim_thompson5910):

never heard of the term half turn before, but I guess it makes sense

OpenStudy (anonymous):

so h stands for "half"?

OpenStudy (anonymous):

is the answer pointa?

jimthompson5910 (jim_thompson5910):

one sec

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

ok this is just a convoluted way of saying all this

jimthompson5910 (jim_thompson5910):

what HoHm : B means is that you step 1) start at point B step 2) rotate point B 180 degrees around the point m to land on point A (this is applying the transformation Hm -- half turn around m) step 3) rotate the result you got in step 2 about the point o to land on point C (now you're applying Ho -- half turn about o)

jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

|dw:1368131687392:dw|

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