Green Bridge Learning Resource Nchekwa Maka Perpendicular Lines

Gbogbo ọrọ náà

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 \(-1\).

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Perpendicular Lines. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

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