Task 2: Performing Transformations

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 x-axis?

Back

The y-coordinate changes sign, while the x-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 y-axis?

Back

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

Front

What is a translation in geometry?

Back

A translation is a transformation that moves a figure a certain distance in a specified direction without changing its shape or orientation.

Front

If a point A(1, 1) is translated 5 units up and 2 units to the right, what are the new coordinates?

Back

(3, 6) - The new position is found by adding 2 to the x-coordinate and 5 to the y-coordinate.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What are congruent transformations?

Back

Congruent transformations are transformations that preserve the shape and size of a figure, including rotations, translations, and reflections.

Front

What is the result of reflecting a point (x, y) over the line y = x?

Back

The coordinates are swapped, resulting in (y, x).

Front

If triangle GHI is reflected across the x-axis, what happens to the coordinates of point I?

Back

The y-coordinate of point I changes sign, while the x-coordinate remains the same.

Front

What is the effect of reflecting a point over the line x = 2?

Back

The x-coordinate is adjusted based on its distance from the line x = 2, while the y-coordinate remains unchanged.