Question

Read the following statements about the location of three different shapes marked on the given cartesian plane. Which statements are correct?

$\text{Statements:}$

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

Answer 1

The correct option is D Only statement 4 is correct.


Reflecting along the x-axis,

Coordinates of the square $=(-4,4)$
The reflected point $(-4,4)$ will be in the third quadrant with the coordinates $(-x,-y).$
Coordinates of the reflecting point $=(-4,-4)$

Coordinates of the star $=(4,-4)$
The reflected point $(4,-4)$ will be in the first quadrant with the coordinates $(x,y)$.
Coordinates of the reflecting point $=(4,4)$

Coordinates of the circle $=(-1,1)$
The reflected point $(-1,1)$ will be in the third quadrant with the coordinates $(-x,-y).$
Coordinates of the reflecting point $=(-1,-1)$

Therefore, only statement 4 is correct.