Parallel And Perpendicular Lines
Akopọ
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.
Awọn Afojusun
- Know and use the condition for two lines to be parallel or perpendicular.
Akọ̀wé Ẹ̀kọ́
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Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Parallel And Perpendicular Lines. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- 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
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
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Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Parallel And Perpendicular Lines? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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