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The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a Blank 1 Question 7

Question

The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a Blank 1 Question 7

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Solution

The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) form a rectangle.

Here's the step by step explanation:

  1. The points A and B have the same x-coordinate (9), which means they are vertically aligned. The difference in their y-coordinates (6 - 0 = 6) gives the length of one side of the rectangle.

  2. Similarly, the points C and D have the same x-coordinate (-9), which means they are also vertically aligned. The difference in their y-coordinates (6 - 0 = 6) gives the length of the opposite side of the rectangle.

  3. The points A and D have the same y-coordinate (0), which means they are horizontally aligned. The difference in their x-coordinates (9 - (-9) = 18) gives the length of another side of the rectangle.

  4. Similarly, the points B and C have the same y-coordinate (6), which means they are also horizontally aligned. The difference in their x-coordinates (9 - (-9) = 18) gives the length of the last side of the rectangle.

  5. Since opposite sides are equal in length, the shape formed by these points is a rectangle.

This problem has been solved

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