Title: Coordinate Plane
Course: 2025 Probabilidad y Estadística

Q: Find the coordinates of the points shown in the figure.

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[Image]

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- (4, - 3), (3, 3) (Correct)
- (- 4, 3), (3, - 3) (Incorrect)
- (4, 3), (3, 3) (Incorrect)
- (4, - 3), (- 3, 3) (Incorrect)
- (4, - 3), (3, - 3) (Incorrect)
A: (4, - 3), (3, 3)

Q: Draw the square with vertices A(1, 1) , B(4, 1) , C(4, 4) , and D(1, 4) on a coordinate plane. Find the area of the square.

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- [Image] ​ The area is 9. (Incorrect)
- [Image] ​The area is 3. (Incorrect)
- [Image] The area is 9. (Correct)
- [Image] The area is 3. (Incorrect)
- [Image] The area is 12. (Incorrect)
A: [Image] The area is 9.

Q: A rectangle has the vertices of A(2, 5), B(4, 5), C(2, 0), and D(4, 0) on a coordinate plane. Find the area of the rectangle.

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- 9 (Incorrect)
- 14 (Incorrect)
- 10 (Correct)
- 11 (Incorrect)
- 6 (Incorrect)
A: 10

Q: The parallelogram has the vertices of A(2, 1), B(8, 1), C(9, 4), and D(3, 4) on a coordinate plane. Find the area of the parallelogram.

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- 17 (Incorrect)
- 18 (Correct)
- 20 (Incorrect)
- 16 (Incorrect)
- 19 (Incorrect)
A: 18

Q: If the points P(6, 2), Q(0, 8), and R(-6, 2) are drawn on a coordinate plane, where must the point S be located so that the figure PQRS is a square?

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- (0, -4) (Correct)
- (-6, 0) (Incorrect)
- (0, -3) (Incorrect)
- (-4, 0) (Incorrect)
- (0, -5) (Incorrect)
A: (0, -4)

Q: Determine which point A(7, 8) or B(6, 9) is closer to the origin?

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- Point A(7, 8) is closer to the origin. (Correct)
- Point B(6, 9) is closer to the origin. (Incorrect)
A: Point A(7, 8) is closer to the origin.

Q: If the points P(-7, -7), Q(-6, -3), and R(2, 8) are plotted on a coordinate plane, where should the point S be located so that the figure PQRS is a parallelogram?

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- (2, 4) (Incorrect)
- (1, 2) (Incorrect)
- (1, 4) (Correct)
- (4, 0) (Incorrect)
- (0, 5) (Incorrect)
A: (1, 4)

Q: A rectangle has vertices of A(5, 5), B(11, 5), C(5, 2), and D(11, 2) on a coordinate plane. Find the area of the rectangle.
A: 18

Q: A city has streets that run north and south, and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points A and B is 7 blocks; that is, 4 blocks east and 3 blocks north. To find the straight-line distance d, we must use the Distance Formula.

[Image] | [Image]

Find the walking distance and the straight-line distance between the corner of 4th St. and 2nd Ave. and the corner of 19th St. and 38th Ave.
- The walking distance is 51 blocks and the straight-line distance is 40 blocks. (Incorrect)
- The walking distance is 50 blocks and the straight-line distance is 39 blocks. (Incorrect)
- The walking distance is 53 blocks and the straight-line distance is 41 blocks. (Incorrect)
- The walking distance is 50 blocks and the straight-line distance is 40 blocks. (Incorrect)
- The walking distance is 51 blocks and the straight-line distance is 39 blocks. (Correct)
A: The walking distance is 51 blocks and the straight-line distance is 39 blocks.

Q: A triangle has vertices of A(2, 2), B(9, 2), and C(9, 7) on a coordinate plane. Find the area of the triangle.
A: 17.5 / 35/2