Mathematics - International - 0607 CIE

Length And Midpoint

Muhtasari

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.

Malengo

  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)

Maelezo ya Somo

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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Tathmini ya Somo

Hongera kwa kukamilisha somo la Length And Midpoint. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  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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