Mathematics - International - 0607 CIE

Length And Midpoint

Bayani Gaba-gaba

Once two points are fixed on a grid, you can find both how far apart they are and the point exactly halfway between them. The length formula is Pythagoras' theorem in coordinate form, and the midpoint is just the average of the coordinates.

In this lesson you will calculate the length of a line segment and find the midpoint, given the coordinates of its end points.

Manufura

  1. Calculate the length of a line segment from the coordinates of its end points.
  2. Find the coordinates of the midpoint of a line segment from the coordinates of its end points.
  3. Calculate the length of a line segment. (Extended only)
  4. Find the coordinates of the midpoint of a line segment. (Extended only)

Takardar Darasi

Distance and midpoint are core coordinate-geometry tools used in geometry, graphics and navigation whenever you need a straight-line distance or a centre point.

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Nazarin Darasi

Barka da kammala darasi akan Length And Midpoint. 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. Find the length from (1, 2) to (5, 6). A. 4 B. 8 C. 4√2 D. 32 Answer: C
  2. Find the midpoint of (1, 2) and (5, 6). A. (2, 4) B. (3, 4) C. (4, 4) D. (6, 8) Answer: B
  3. The length formula is based on: A. the midpoint rule B. Pythagoras' theorem C. the gradient D. the sine rule Answer: B
  4. Find the length from (0, 0) to (3, 4). A. 5 B. 7 C. 12 D. 25 Answer: A
  5. Find the midpoint of (0, 0) and (4, 8). A. (2, 4) B. (4, 8) C. (2, 8) D. (1, 2) Answer: A

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Cikakkiyar bayanan darasi tare da zane-zane
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Akwai a Android, Windows, macOS, da Linux

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