Mathematics Specification A - 4MA1 PearsonEdexcel

Similarity

Bayani Gaba-gaba

Similar shapes are everywhere: a photograph and its enlargement, a model car and the real thing, a map and the landscape it represents. In each case the shape is the same but the size is different, and a single scale factor links every pair of corresponding lengths.

You will learn to identify similar figures, calculate unknown lengths using scale factors, and work with maps and scale drawings. At Higher tier, you will discover that areas scale by the square of the linear factor and volumes by the cube.

Manufura

  1. Understand and use the geometrical properties that similar figures have corresponding lengths in the same ratio but corresponding angles remain unchanged
  2. Use and interpret maps and scale drawings
  3. [Higher] Understand that areas of similar figures are in the ratio of the square of corresponding sides
  4. [Higher] Understand that volumes of similar figures are in the ratio of the cube of corresponding sides
  5. [Higher] Use areas and volumes of similar figures in solving problems

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

A passport photo enlarged to poster size keeps the same proportions but changes every length by the same multiplier. That multiplier is the scale factor, and it is the key to every similarity calculation.

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Nazarin Darasi

Barka da kammala darasi akan Similarity. 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.

  1. Two similar rectangles have lengths 5 cm and 20 cm. The scale factor is: A) 2 B) 4 C) 15 D) 100 Answer: B
  2. If the scale factor of two similar shapes is 3, the area scale factor is: A) 3 B) 6 C) 9 D) 27 Answer: C
  3. A map scale is 1:50 000. What does 4 cm on the map represent? A) 200 m B) 2 km C) 20 km D) 500 m Answer: B
  4. Two similar solids have a volume ratio of 8:27. The linear scale factor is: A) 2:3 B) 4:9 C) 8:27 D) 3:2 Answer: A
  5. Shapes are similar if: A) They have the same area B) They have the same perimeter C) Corresponding angles are equal and sides are proportional D) They have the same number of sides Answer: C

Yi aikin wadannan tambayoyi a cikin manhaja

Yi aikin wadannan tambayoyi a cikin manhaja

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Similarity? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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