Question

The square is flipped across the line L. Which of the following shows the new position of the square? $$$$

A. $$$$

B. $$$$

C. $$$$

D. $$$$

Answer 1

Hint: We use the knowledge that if we flip the square from the initial position across the given line L, the square in the new position will be at the opposite to the side of the square in the initial position, which is the left-hand side. $$$$

Complete step-by-step solution:

We see in the image in the question that we are given a line named L and a square whose one side is lying on the line L The square is present on the left-hand side of the line. We are given four images in the option and we are asked which will be the new position of the square flip across the line L. $$$$
We know that if we flip across a shape on an object the new position of the flipped object will be on the opposite side of the shape or object which means if we flip the object from the left-hand side its new position will be on the right-hand side and similarly of we flip the object form the right-hand side its new position will be on the left-hand side. Now let us check the options starting with option A.

We see in option A that the flipped square with dotted line has one side-lying on the line L and common to the square in the original position. It is also on the right-hand side of L opposite to the original position. So option A is correct. We Check option B. $$$$

We see that in option B the square flipped upward is lying on the same side of L as was the square in the initial position. So option B is incorrect. $$$$
C.

We see that in option C the square flipped downward is lying on the same side of L as was the square in the initial position. So option C is incorrect. Let us check option D. $$$$

We see that in option C the square flipped towards the left is lying on the same side of L as was the square in the initial position. So option C is incorrect.
So the only correct option is A.

Note: We note that a square of the same size is present in any position at the right-hand side, that may not be the position of the flipped square. It is determined by the symmetry across a line, specifically in this case L acts as a reflecting line and the new position of the square is the image of the square in the initial position.