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Coordinate geometry
Distance, midpoint, slope and the equation of a line.
Coordinates turn geometry into algebra. The distance between two points is Pythagoras; the midpoint is an average; the slope is rise over run; and slope plus a point gives the line's equation.
Жұмыстағы мысал · line through (0,1) and (2,5)
Қадам сайын
- m = \frac{\Delta y}{\Delta x} = \frac{4}{2} = 2
Slope = rise over run.
- y - 1 = 2(x - 0)
Point-slope form through P.
- y = 2 x + 1
Slope-intercept form.
Жауап беріңіз
Енді сен Мәтінді таңдап, жазу немесе өзіңіздің мәтініңізді салу. Әрбір қадамы сурет, сұрағанша жауап жасырылады.
Мұнда қолданылатын символдар
Тұтас анықтамасын, суретін және әрбір әріптің мағынасын көру үшін кез келген символды түртіңіз.
Не істеу керек: Coordinate geometry
- Slope = rise over run.
- Point-slope form through P.
- Slope-intercept form.
Адамдар қоятын сұрақтар
Why does every triangle have angles adding to 180°?
Draw a line through one vertex parallel to the opposite side: the two alternate angles equal the other two angles of the triangle, and the three angles at the vertex lie on a straight line. That is Euclid's proof, and it is why the fact holds only on a flat plane.
When do I use the law of sines versus the law of cosines?
Cosines when you know three sides, or two sides and the angle between them. Sines when you know an angle and the side opposite it, plus one more piece.
What is the difference between area and perimeter?
Perimeter is the length of the boundary (one dimension, measured in metres); area is the amount of surface inside (two dimensions, square metres). Doubling every side doubles the perimeter but quadruples the area.
Келесіде Geometry
TrianglesPythagorean theoremCirclesPolygonsSolidsEuclid's axioms and the structure of proofCongruent and similar trianglesCircle theoremsTransformations: translation, rotation, reflection, dilationSolid geometry: prisms, pyramids, spheres