Question

1. what are the cartesian coordinates of the four points shown at a, b, c, and d?

Explanation:

Step1: Determine x - coordinate of A

Count units left of y - axis. A is 1 unit left, so \(x=- 1\).

Step2: Determine y - coordinate of A

Count units above x - axis. A is 3 units above, so \(y = 3\). Coordinates of A are \((-1,3)\).

Step3: Determine x - coordinate of B

Count units right of y - axis. B is 3 units right, so \(x = 3\).

Step4: Determine y - coordinate of B

Count units above x - axis. B is 1 unit above, so \(y = 1\). Coordinates of B are \((3,1)\).

Step5: Determine x - coordinate of C

Count units right of y - axis. C is 1 unit right, so \(x = 1\).

Step6: Determine y - coordinate of C

Count units below x - axis. C is 1 unit below, so \(y=-1\). Coordinates of C are \((1, - 1)\).

Step7: Determine x - coordinate of D

Count units left of y - axis. D is 1 unit left, so \(x=-1\).

Step8: Determine y - coordinate of D

Count units below x - axis. D is 3 units below, so \(y=-3\). Coordinates of D are \((-1,-3)\).

Answer:

A. (-1,3)
B. (3,1)
C. (1,-1)
D. (-1,-3)