Question

The location of three dots of different colors are marked on the Cartesian plane.
Choose the correct option.
1.Across the x-axis, the reflected coordinates of the shapes are red (-2, 3), blue (-4, 2), and green (-2, -4).
2.Across the y-axis, the reflected coordinates of the shapes are red (2, 3), blue (-4, -2), and green (2, -4).
3.Across the x-axis, the reflected coordinates of the shapes are red (-2, -3), blue (4, 2), and green (-2, 4).
4.Across the y-axis, the reflected coordinates of the shapes are red (2, 3), blue (4, -2), and green (-2, -4).

• A. Statements 2 and 4 are correct.
  
• B. Statements 1 and 2 are correct.
  
• C. Statements 2 and 3 are correct.
  
• D. Statements 1 and 3 are correct.
  

Answer 1

The correct option is C Statements 2 and 3 are correct.



Reflecting along the x-axis,
Coordinates of the red point $=(-2,3)$
The reflected red point $(-2,3)$ will be in the third quadrant with the coordinates (-x, -y).
The coordinates of the reflecting red point $=(-2,-3)$
Coordinates of the blue point $=(4,-2)$
The reflected blue point $(2,-3)$ will be in the first quadrant with the coordinates (x, y).
The coordinates of the reflecting blue point $=(4,2)$
Coordinates of the green point $=(-2,-4)$
The reflected green point $(-2,-4)$ will be in the second quadrant with the coordinates (-x, y).
The coordinates of the reflecting green point $=(-2,4)$

Reflecting along the y-axis,
Coordinates of the red point $=(-2,3)$
The reflected red point $(-2,3)$ will be in the first quadrant with the coordinates (x, y).
The coordinates of the reflecting point red $=(2,3)$
Coordinates of the blue point $=(4,-2)$
The reflected blue point $(4,-2)$ will be in the third quadrant with the coordinates (-x, -y).
The coordinates of the reflecting point blue $=(-4,-2)$
Coordinates of the green point $=(-2,-4)$
The reflected green point $(-2,-4)$ will be in the fourth quadrant with coordinates (x, -y).
The coordinates of the reflecting green point $=(2,-4)$