Transformations
Bayani Gaba-gaba
Every animated logo, every character walking across a game screen and every CAD drawing rotated on an engineer's monitor relies on the same four moves: reflect, rotate, translate, enlarge. Each one changes a shape's position or size in a precisely defined way, and each one can be described completely, without a picture, using nothing more than a few coordinates and numbers.
This topic builds fluency in all four transformations, including enlargements with negative and fractional scale factors, shows how two transformations combine into one, and introduces the 2x2 matrix as a compact way of carrying out (and identifying) a transformation algebraically.
Manufura
- Understand and use transformations of the plane including reflections in any line, rotations about any point, translations and enlargements
- Find and use combination of transformations
- Multiply a vector by a matrix to find the matrix for a given transformation of the plane
Taswirar tunani
An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.
Bude taswirar tunani a cikin manhaja
Katunan tunawa
Gwaji mai sauri kan abin da ake jarraba a wannan batu.
Yi atisayen wadannan katuna a cikin manhaja
Takardar Darasi
Cikakken Bayanin Darasi Yana Kan Manhajar Green Bridge
Sami manhajar Green Bridge CBT a wayarka ko kwamfutarka domin cikakken laburaren IGCSE: takardun jarrabawar baya, tsarin kimantawa, taswirar tunani, katunan karatu da darussan sauti.
Nazarin Darasi
Barka da kammala darasi akan Transformations. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- Which transformation does NOT preserve the size of a shape? A) Reflection B) Rotation C) Translation D) Enlargement Answer: D
- A point (4, -1) is rotated 180 degrees about the origin. What is its image? A) (4, 1) B) (-4, 1) C) (-4, -1) D) (1, -4) Answer: B
- Which of these fully describes a translation? A) The distance moved only B) The column vector C) The angle and direction D) The scale factor and centre Answer: B
- An enlargement has scale factor -3. Compared with the object, the image is: A) 3 times the size, same side of the centre B) 3 times the size, opposite side of the centre C) 1/3 the size, same side of the centre D) the same size, rotated 180 degrees Answer: B
- What single transformation does the matrix (1 0; 0 -1) represent? A) Reflection in the y-axis B) Reflection in the x-axis C) Rotation of 180 degrees about the origin D) Enlargement, scale factor -1 Answer: B
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Yi Aikin Tambayoyin Gwaji
Kana son yin aikin tambayoyin gwaji kan Transformations? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.
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Duk abin da kake buƙata don yin fice a JAMB, WAEC & NECO.
