Parallel And Perpendicular Lines
Muhtasari
Two lines on a grid can run side by side forever, or cross at a perfect right angle. Both relationships are captured entirely by gradient, the single number that measures a line's steepness. Once you know how gradients behave for parallel and perpendicular lines, a whole family of coordinate-geometry questions opens up.
In this lesson you will learn that parallel lines share the same gradient, while perpendicular lines have gradients whose product is \(-1\), the negative reciprocal rule. You will use these facts to find the equations of lines through given points, the foundation for perpendicular bisectors, tangents and much else.
Malengo
- Know and use the condition for two lines to be parallel or perpendicular.
Maelezo ya Somo
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Parallel And 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.
- Two lines are parallel when their gradients are: A. Equal B. Negative reciprocals C. Reciprocals D. Opposite in sign Answer: A
- Two lines are perpendicular when the product of their gradients is: A. 0 B. 1 C. -1 D. Equal Answer: C
- What is the gradient of a line perpendicular to one with gradient 2? A. 2 B. -2 C. 1/2 D. -1/2 Answer: D
- A line is parallel to y = 3x + 2 and passes through (1, 5). Its equation is: A. y = 3x + 2 B. y = -3x + 8 C. y = (1/3)x + 5 D. y = 3x - 5 Answer: A
- The gradient perpendicular to a line of gradient 2/3 is: A. 2/3 B. 3/2 C. -3/2 D. -2/3 Answer: C
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Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Parallel And Perpendicular Lines? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
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