Perpendicular Lines
Muhtasari
Two lines are perpendicular when they meet at a right angle, and in coordinate geometry this gives a beautifully simple rule: their gradients multiply to give \(-1\). Knowing this lets you find the equation of a line at right angles to any given line.
In this lesson (Extended tier) you will find the gradient and equation of a straight line perpendicular to a given line, using the rule that perpendicular gradients multiply to \(-1\).
Malengo
- Find the gradient and equation of a straight line perpendicular to a given line.
Somo la Sauti
Sikiliza somo hili kwenye programu
Ramani ya mawazo
Mada hii imechorwa ili uone jinsi mawazo yanavyounganika.
Fungua ramani ya mawazo kwenye programu
Kadi za kumbukumbu
Mazoezi ya haraka ya kumbukumbu kuhusu kinachopimwa katika mada hii.
Fanya mazoezi ya kadi hizi kwenye programu
Maelezo ya Somo
Dokezo Kamili la Somo Linapatikana kwenye Programu ya Green Bridge
Pata programu ya Green Bridge CBT kwenye simu au kompyuta yako kwa maktaba kamili ya IGCSE: mitihani ya miaka iliyopita, miongozo ya usahihishaji, ramani za mawazo, kadi za marudio na masomo ya sauti.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Perpendicular Lines. 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.
- What is true of the gradients of two perpendicular lines? A. They are equal B. They add to 0 C. They multiply to -1 D. One is always 0 Answer: C
- A line has gradient 2. The gradient of a perpendicular line is: A. 2 B. -2 C. 1/2 D. -1/2 Answer: D
- A line has gradient -3. The gradient of a perpendicular line is: A. 3 B. 1/3 C. -1/3 D. -3 Answer: B
- The line perpendicular to y = 2x + 1 through (0, 3) is: A. y = 2x + 3 B. y = -1/2 x + 3 C. y = -2x + 3 D. y = 1/2 x + 3 Answer: B
- The perpendicular gradient is found by taking the: A. same value B. negative C. reciprocal D. negative reciprocal Answer: D
Fanyia kazi maswali haya kwenye programu
Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
-
Sehemu ya kitabu
Find the Equation of a Line
Find an equation of the line given the slope and y y -intercept
"Elementary Algebra: Find the Equation of a Line" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/4-6-find-the-equation-of-a-line. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
Vimechapishwa na mashirika mengine chini ya leseni huria na vinatajwa kama wanavyoomba. Viungo hufungua tovuti zao.
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Perpendicular Lines? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
Pakua Programu Kwenye Google Playstore
Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
