Question

Location of three different shapes are marked on the Cartesian plane.
Choose the correct option.
1.Across the x-axis, the reflected coordinates of the shapes are square (1, -4); star (2, 3); and circle (-2, -1).
2.Across the y-axis, the reflected coordinates of the shapes are square (1, 4); star (2, -3); and circle (-2, 1).
3. Across the x-axis, the reflected coordinates of the shapes are square (-1, 4); star (-2, -3); and circle (2, -1).
4. Across the y-axis, the reflected coordinates of the shapes are square (-1, 4); star (-2, -3); and circle (2, 1).

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

Answer 1

The correct option is A Statements 1 and 4 are correct.


Reflecting along the x-axis,
Coordinates of the square $=(1,4)$
The reflected points of the square $(1,4)$ will be in the fourth quadrant with the coordinates (x, -y).
The coordinates of the reflecting point square $=(1,-4)$
Coordinates of the star $=(2,-3)$
The reflected point star $(2,-3)$ will be in the first quadrant with the coordinates (x, y).
The coordinates of the reflecting point star $=(2,3)$
Coordinates of the circle $=(-21)$
The reflected point circle$(-2,1)$ will be in the third quadrant with the coordinates (x, -y).
The coordinates of the reflecting point circle $=(-2,-1)$


Reflecting along the y-axis,
Coordinates of the square $=(1,4)$
The reflected point square $(1,4)$ will be in the second quadrant with the coordinates (-x, y).
The coordinates of the reflecting point square $=(-1,4)$
Coordinates of the star $=(2,-3)$
The reflected point star $(2,-3)$ will be in the third quadrant with coordinates (-x, y).
The coordinates of the reflecting point star $=(-2,-3)$
Coordinates of the circle $=(-2,1)$
The reflected point circle $(-2,1)$ will be in the first quadrant with coordinates (x, y).
The coordinates of the reflecting point circle $=(2,1)$