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.
Please help Miss Loi
- describe a single transformation that maps U to X.
- describe a single transformation that maps U to Y.
- 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!
