Reflections on Coordinate plane day 2

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same. For example, (x, y) becomes (x, -y).

Front

If point A(3, 5) is reflected over the x-axis, what are the coordinates of A'?

Back

A'(3, -5)

Front

If point B(-7, -8) is reflected over the y-axis, what are the coordinates of B'?

Back

B'(7, -8)

Front

What quadrant will a point in QI be in after reflecting over both axes?

Back

It will be in QIII.

Front

What are the coordinates of point C(4, -3) after reflecting over the y-axis?

Back

C'(-4, -3)

Front

What are the coordinates of point D(-2, 6) after reflecting over the x-axis?

Back

D'(-2, -6)

Front

If a trapezoid is reflected over the y-axis, how does its position change?

Back

The x-coordinates of all points in the trapezoid change sign.

Front

What is the result of reflecting point E(0, 5) over the y-axis?

Back

E'(0, 5) (it remains the same since it lies on the y-axis).