Length And Midpoint
Muhtasari
Once two points are fixed on a grid, two natural questions follow: how far apart are they, and what is the point exactly halfway between them? The length and midpoint formulas answer both, and the length formula is really Pythagoras' theorem in disguise.
In this lesson (Extended tier) you will calculate the length of a line segment and find the coordinates of its midpoint, given the coordinates of its endpoints.
Malengo
- Calculate the length of a line segment.
- Find the coordinates of the midpoint of a line segment.
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Maelezo ya Somo
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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.
- Find the length of the segment from (1, 2) to (5, 6). A. 4 B. 8 C. 4√2 D. 32 Answer: C
- Find the midpoint of (1, 2) and (5, 6). A. (2, 4) B. (3, 4) C. (4, 4) D. (6, 8) Answer: B
- The length formula is based on which theorem? A. the gradient rule B. Pythagoras' theorem C. the midpoint rule D. the sine rule Answer: B
- Find the midpoint of (0, 0) and (4, 8). A. (2, 4) B. (4, 8) C. (2, 8) D. (1, 2) Answer: A
- Find the length from (0, 0) to (3, 4). A. 5 B. 7 C. 12 D. 25 Answer: A
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Distance and Midpoint Formulas; Circles
Use the Distance Formula
"Intermediate Algebra: Distance and Midpoint Formulas; Circles" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/intermediate-algebra/pages/11-1-distance-and-midpoint-formulas-circles. Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
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