Mathematics (US) - 0444 CIE

Transformations On The Cartesian Plane

Akopọ

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.

Awọn Afojusun

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

Akọ̀wé Ẹ̀kọ́

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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Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Transformations On The Cartesian Plane. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  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

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Transformations On The Cartesian Plane? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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