Mathematics - International - 0607 CIE

Length And Midpoint

Gbogbo ọrọ náà

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.

Ebumnobi

  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)

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

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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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Length And Midpoint. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  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

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

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Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Length And Midpoint? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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