Johnny reflects ∆abc across the y axis and then again across the x axis. hallie rotates ∆abc 180 degrees clockwise about the origin. sally says the resulting images will have the same coordinates. true or false?

The sally's conclusion is true and the both image have different coordinates.

Explanation:

It is given that johny reflects ∆ABC across the y axis and then again across the x axis.

Let the coordinate of A is (x,y) and it reflects along y-axis then,

After that the it reflects along x-axis then,

So, if the coordinate of A is (x,y) and Johnny reflects ∆ABC across the y axis and then again across the x axis, then A'(-x,-y).

It is given that Hallie rotates ∆ABC 180 degrees clockwise about the origin.

Let the coordinate of A is (x,y) and it rotates 180 degrees clockwise about the origin then,

So, if the coordinate of A is (x,y) and Hallie rotates ∆ABC 180 degrees clockwise about the origin, then A'(-x,-y).

It is also represent in the figure with the help of a random triangle.

In both process we get the same images. Therefore, the sally's conclusion is true.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: