Mathematics (US) - 0444 CIE

Transformations On The Cartesian Plane

Gbogbo ọrọ náà

A transformation moves or resizes a shape on the Cartesian plane. The four you need are translations (slides), reflections (flips), rotations (turns) and enlargements (dilations, which resize). Each is described fully by a small amount of precise information.

In this lesson you will describe and perform translations, reflections, rotations and enlargements, learning exactly what details are needed to specify each one completely so that it can be reproduced.

Ebumnobi

  1. Describe and perform translations, reflections, rotations and enlargements (dilations) on the Cartesian plane.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

Transformations connect algebra and geometry and underpin computer graphics, animation and design. Describing one fully, with all the right details, is a marked skill in itself.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Transformations On The Cartesian Plane. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. A slide by a column vector is a: A. reflection B. rotation C. translation D. enlargement Answer: C
  2. Reflecting (3, 2) in the y-axis gives: A. (3, -2) B. (-3, 2) C. (-3, -2) D. (2, 3) Answer: B
  3. To describe a rotation fully you must give: A. only the angle B. center, angle and direction C. only the center D. a scale factor Answer: B
  4. An enlargement with center the origin and scale factor 2 sends (3, 1) to: A. (5, 3) B. (6, 2) C. (1.5, 0.5) D. (3, 2) Answer: B
  5. A translation by (3, -2) moves (1, 4) to: A. (4, 2) B. (4, 6) C. (-2, 6) D. (3, -8) Answer: A

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