Question

which quadrant will triangle, LOWEN when it is reflected across the Y axis, and then reflected across the X axis a quadrant 2B quadrant, 1C quadrant three and D quadrant four

Answer 1

When a shape is reflected across the y-axis, the x-coordinate is multiplied by -1 while the y-coordinate remains the same.

In triangle LOWEN, if it is reflected across the y-axis, the x-coordinate of each point will be negated. So, for example, if the original coordinates for L were (-3, 4), after reflection, the coordinates will become (3, 4).

If the reflected triangle (after reflection across the y-axis) is then reflected across the x-axis, the y-coordinate is multiplied by -1 while the x-coordinate remains the same.

So, taking the coordinates after the first reflection, for example, the y-coordinate of L is 4. After reflection across the x-axis, the coordinates become (3, -4).

Now, let's determine the quadrant in which the reflected triangle falls after the two reflections:

For L: (3, -4)
- With positive x and negative y, the point falls in Quadrant IV.

For O: (2, -1)
- With positive x and negative y, the point falls in Quadrant IV.

For W: (0, -5)
- With zero x and negative y, the point falls on the negative y-axis.

For E: (-3, -1)
- With negative x and negative y, the point falls in Quadrant III.

For N: (-2, -4)
- With negative x and negative y, the point falls in Quadrant III.

Thus, after reflecting triangle LOWEN across the y-axis and then reflecting it across the x-axis, the triangle will fall in Quadrant III. Therefore, the answer is C) Quadrant three.