The coordinate plane

इस पर आधारित

5 अनिवार्य पूर्वापेक्षाएँ (बिल्कुल नीचे तक)

आप सीखेंगे

• Plot and read points (x, y) with integer and rational coordinates in all four quadrants.
• Find horizontal and vertical distances between points using absolute value.
• Reflect points in the axes and describe the effect on their coordinates.

परिभाषा

• The coordinate plane is formed by two perpendicular number lines, the x-axis and the y-axis, meeting at the origin (0, 0).
• The coordinates (a, b) of a point give its horizontal and vertical positions relative to the origin.

प्रमेय

• Reflecting (a, b) in the x-axis gives (a, −b), and in the y-axis gives (−a, b).
• The distance between (a, b) and (c, b) is |a − c|.
• Each point of the plane corresponds to exactly one ordered pair of real numbers.

आम भ्रांतियाँ

• Swapping the coordinates, plotting (3, 2) at (2, 3).
• Counting grid lines rather than unit intervals when finding distances.

आगे ले जाता है

वैकल्पिक खोजें

• Linear algebra Points of the plane can be added and scaled as vectors, giving the vector space ℝ².