Mathematics - Additional - 0606 CIE

Parallel And Perpendicular Lines

Bayani Gaba-gaba

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.

Manufura

  1. Know and use the condition for two lines to be parallel or perpendicular.

Takardar Darasi

Right angles and parallel paths are everywhere in design, construction and navigation. In coordinate geometry, the gradient rules for parallel and perpendicular lines let you reason about shapes, distances and directions with pure algebra. They are the building blocks for finding tangents, bisectors and the equations of lines you will need throughout the course.

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Nazarin Darasi

Barka da kammala darasi akan Parallel And Perpendicular Lines. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. Two lines are parallel when their gradients are: A. Equal B. Negative reciprocals C. Reciprocals D. Opposite in sign Answer: A
  2. Two lines are perpendicular when the product of their gradients is: A. 0 B. 1 C. -1 D. Equal Answer: C
  3. 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
  4. 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
  5. 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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Cikakkiyar bayanan darasi tare da zane-zane
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Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

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