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# Transformation of the Moon on Mid-Autumn Night!

(22)
Tuition given in the topic of E-Maths Tuition Questions from the desk of at 12:48 pm (Singapore time)

Updated on

WARNING: The following article contains extremely lame content which may offend you. Please DO NOT continue if extreme lameness disturb you or if it’s illegal to view such material in your community.

Perhaps it was that filling mooncake she had earlier, Miss Loi was struggling to stay awake on her drive home two nights ago, even with her thumping techno playlist on full blast. So in the interest of public safety and not wishing to become another Dumbass herself, she decided to turn off the main road and take a short break.

Incidentally it was Mid-Autumn Festival that night. Miss Loi is never a ‘moon’ person, but nonetheless she stepped out of her car in an attempt to indulge in some ‘moon appreciation’, for lack of better things to do.

As such her eyes homed in on a bright spot of light in the sky she thought was the moon. But before she could even settle down, this ‘moon’ began to grow larger and larger till it became a triangular flying object that proceeded to dart several times across the night sky, subjecting itself to various transformations on each pass!

Utterly terrified and fearful of becoming the next alien abductee, Miss Loi immediately called the Singapore Paranormal Investigators (SPI) on her handphone.

Thank you for calling SPI. To report a pontianak sighting, please press 1. To report a UFO sighting, please press 2 …

Miss Loi pressed 2, obediently.

Sorry, all our operators are currently engaged in a pontianak hunt at the moment. Your call is important to us. Please leave a message, describing the exact transformations the UFO made, after the tone.

In normal circumstances, it would’ve been a breeze for her to articulate her thoughts in O-Level distinction-grade fluency. But she’s now absolutely traumatized so …

The diagram shows Miss Loi’s mental map of the geometric transformations that took place for the UFO U.

1. describe a single transformation that maps U to X.
2. describe a single transformation that maps U to Y.
3. describe a single transformation that maps U to Z.

But apparently the SPI answering machine was not done yet …

To further help us identify the errant UFO, we would appreciate if you could provide the following information:

For Reflections:

Please always identify the line by which the reflection takes place. Provide its equation if possible.

For Rotations:

Please always identify the center of rotation. Please also state whether it’s clockwise or counter-clockwise.

For Translations:

Please always state the translation column vector.

For Enlargements:

Please always state the center of enlargement and the scale factor. Remember that the scale factor can be negative.

For Shears:

Please always state the invariant line and the shear factor. Remember that the shear factor can be negative.

For Stretches:

Please always state the invariant line and the stretch factor. Remember that the stretch factor can be negative.

Miss Loi’s shock slowly turned to anger at the phone bills this call was chalking up, as the answering machine rambled on …

In recent times, we have noted that many callers have had problems describing enlargements, shears and stretches. This is bad as our records show that typical UFO sightings usually come with five out of six of the transformations described earlier.

Also some callers have lamented that geometric transformations were only taught via e-learning during their school days. Which is a shame really as this topic will always appear either in Paper 1 or 2 (but not both).

By the way, they told us that Paper 1 will almost always involve questions requiring them to describe transformations in a given diagram, while Paper 2 required them to actually draw the diagrams themselves.

Oh, and did you also know that …

Seeing that her mobile plan’s free talktime had just been completely annihilated, a hysterical Miss Loi screamed into the phone asking when can she start talking.

You may now leave your message after the tone. BEEEP!

### Revision Exercise

To show that you have understood what Miss Loi just taught you from the centre, you must:

1. Aaron commented in tuition class

2007
Sep
27
Thu
12:59pm

1

Hahaha Ms loi..

The people at SPI must have a most interesting answering machine system.
Either that or you're overworked 🙂

2. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2007
Sep
27
Thu
1:24pm

2

Aaron, given Miss Loi's lack of activity here these few days, it's probably the latter. Sigh.

3. Aaron commented in tuition class

2007
Sep
27
Thu
2:04pm

3

Not possible to take a break from it all for a while?
Just 1 day to go forth and enjoy?

4. xinyun commented in tuition class

2007
Sep
27
Thu
2:06pm
5. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2007
Sep
27
Thu
2:34pm

5

Aaron + xinyun,

Don't really have a choice during this period.

If you've seen the countdown clock to the top right, it's now O-Level crunchtime - the time when all true blue hardcore LMBFH Syndrome suffers surface. 😛

6. xinyun commented in tuition class

2007
Sep
27
Thu
2:46pm

6

well, that's true...
O & A levels exam period...

ganbatte!
1.5months to go :X

7. retxed commented in tuition class

2007
Sep
28
Fri
11:53am

7

may i know where can i study for private o level candidate.
i stop schooling since sec 3 am 19 this year completed my ns and wish to continue my studies pls guide me.

8. HORNY ANG MOH commented in tuition class

2007
Sep
28
Fri
4:18pm

8

Still very very blur! How cum a round moon turn into a rectangle, square or triangle???I really give up? So can give me the answer arr? OH BTW I really do wish u r my math teacher then my math will not be in a mess as explained on my post today! I must say all ur student r a lucky bunch! Have a nice weekend & don't drive like Michael Suchmacker!!

9. Jacqueline commented in tuition class

2007
Sep
28
Fri
10:38pm

9

Oh my goodness Ms Loi...your post is so lame lah!!! Like, --.--". Can't you just be like normal people and "shang yue liang" while eating mooncake...instead of thinking of funny things like this....LOL...I think you too stressed...

By the way, in case I haven't told you, I'm gonna fail my math exam...gone case already, minus ten thousand marks liao...sorry ah, confirm no A.... =P

10. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2007
Sep
28
Fri
10:41pm

10

Hello retxed.

Jφss Sticks welcomes another aspiring privatus candidatus here!

Anyway on a more serious note, just to check if you're looking for a private school or guidelines on how to go about registering to be a private candidate?

For information on O-Level private candidates, you can view this instructions document from SEAP for a start.

If you're looking for a private school, well ... Miss Loi shall shamelessly request you to give her a call 🙂

11. kiroii commented in tuition class

2007
Sep
28
Fri
11:25pm

11

1) reflection with x-axis as the line of reflection Sweet
2)enlargement with center point being the origin and scale factor being -2.5 Yes taking any corresponding pair of points from the center of enlargement at 0, you'll get the scale factor = -5 units/2 units = -2.5.

3)er shear with scale factor being -2 and invarient line being y=2 (if im not wrong)

First of all Miss Loi thinks you meant the line x=2. But either way, your invariant line is wrong. By definition, all points on the invariant line shall remain unchanged during the transformation. So looking at U and Z, there's only one point (0, 2) that didn't change. So your invariant line must be the y-axis.

Also to calculate your shear factor, let's take a point (2,2) on U and it's mapped point (2,6) on Z.

Shear factor = [distance moved from (2,2) to (2,6)/distance of (2,2) from invariant line]
= 4 units (note it's positive)/2 units = 2.

PS: miss loi to differentiate shear from stretch there's a technique..shear's area will be constant whereas stretch wil change juz to let others noe

Thanks for your contribution here 😀

12. 123 commented in tuition class

2007
Sep
28
Fri
11:40pm

12

Omg, 24 days to O,
ARRRRRRR!
take away the countdown timer!

13. kiroii commented in tuition class

2007
Sep
29
Sat
12:05am

13

NONONONO fiddle withthe countdown timmer change it to 800 days~ that means 799days to play games

14. retxed commented in tuition class

2007
Sep
29
Sat
2:34am

14

Thanks, am looking for a private school Will give u a call soon.

15. kiroii commented in tuition class

2007
Sep
29
Sat
4:30pm

15

btw if yer looking for a priv sch pls do not go XXXXXXX..the service is seriously lacking they dun even allow internet connection in the classes..

16. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2007
Sep
29
Sat
4:59pm

16

HAM, Miss Loi is a safe driver okay? The most she could drive is probably the safety car 🙂

17. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2007
Sep
29
Sat
5:08pm

17

Jac ah Jac ... since when your A-grade papers got 10000 marks to minus?! Don't worry lah, your time is still to come.

Next time Miss Loi treat you mooncakes and we go "shang UFO" together ok? 🙂

18. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2007
Sep
29
Sat
5:35pm

18

123: Think it's < 24 days if you take into account your other subjects!

Kiroii: Miss Loi has marked your answers and also censored one of your comments. Let's not talk down on other tuition schools on this blog shall we?

19. kiroii commented in tuition class

2007
Sep
29
Sat
6:10pm

19

er im in tat particular sch n im trying to warn others not to go there spent almost 4k on tat sch and it wasnt quite *exemplary and im rather sure my classmates are with my assertion

20. cutie commented in tuition class

2008
Jan
25
Fri
3:28pm

20

?? what topic is this? lol like never learn before..

21. Miss Loi Friend Miss Loi on Facebook @MissLoi commented in tuition class

2008
Jan
25
Fri
7:33pm

21

Hi cutie pie!

This belongs to the Transformation topic in 4017. It's already out of your syllabus by now 😉

### One Reaction

1. 2009
Jun
9
Tue
5:39pm

22

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