Mathematics Specification B - 4MB1 PearsonEdexcel

Geometrical Properties And Reasoning

Bayani Gaba-gaba

A tiled floor, a bridge truss and a kite in flight are all held together by the same handful of angle facts. This topic gives you the standard geometric statements Edexcel expects you to quote, and the discipline of chaining them together so that every angle you state is backed by a named reason rather than a guess.

You will work through parallel line angle pairs, polygon angle sums for any number of sides, the defining properties of each quadrilateral in the special-quadrilateral family, and the three kinds of symmetry a 2D shape can carry. By the end you should be able to look at an unfamiliar diagram, identify which properties apply, and write a clean chain of reasoning from what is given to what is asked.

Manufura

  1. Understand and apply geometrical properties of Euclidean space
  2. Use geometrical reasoning to solve problems
  3. Understand and use angle properties of parallel lines, triangles and polygons, including regular polygons
  4. Know and use properties of the parallelogram, rectangle, square, rhombus, trapezium and kite
  5. Understand and use symmetry about a point, line or plane, including recognising line and rotational symmetry

Takardar Darasi

Every angle you write down in a 4MB1 answer needs a partner: the reason that licenses it. Edexcel mark schemes give one mark for the correct numerical value and a separate mark for the correct reason, so a right answer with no reason and a wrong answer with the right reason both leave marks on the table. This topic builds the vocabulary and the habit.

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Nazarin Darasi

Barka da kammala darasi akan Geometrical Properties And Reasoning. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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 parallel lines are crossed by a transversal. One angle is 73 degrees and its alternate angle is on the opposite side of the transversal, between the parallel lines. What is the size of the alternate angle? A) 17 degrees B) 73 degrees C) 107 degrees D) 180 degrees Answer: B
  2. A regular polygon has an exterior angle of 24 degrees. How many sides does it have? A) 12 B) 15 C) 18 D) 24 Answer: B
  3. Which quadrilateral has diagonals that bisect each other at 90 degrees but are NOT necessarily equal in length? A) Rectangle B) Rhombus C) Trapezium D) Kite Answer: B
  4. A shape has rotational symmetry of order 2 but no lines of symmetry. Which shape is this most likely to be? A) Square B) Isosceles trapezium C) Parallelogram that is not a rectangle or rhombus D) Regular hexagon Answer: C
  5. The interior angle sum of a polygon is 1440 degrees. How many sides does the polygon have? A) 8 B) 9 C) 10 D) 12 Answer: C

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Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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