Geometric Transformations

The video tutorial covers geometric transformations, including translations, reflections, and rotations. It explains how each transformation affects a geometric figure on a coordinate plane, ensuring the image remains congruent to the preimage. Examples are provided for each transformation type, demonstrating how to perform them and understand their effects on the figure's orientation.

What is the term used for the original shape before a transformation?

• Reflection

• Preimage

• Rotation

• Image

In a translation, how do you adjust the coordinates for a movement of 3 units left and 5 units up?

• Subtract 3 from both x and y

• Add 3 to x, subtract 5 from y

• Subtract 3 from x, add 5 to y

• Add 3 to both x and y

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

• Both coordinates switch

• The y-coordinate remains the same, x-coordinate becomes opposite

• The x-coordinate remains the same, y-coordinate becomes opposite

• Both coordinates become opposite

Which line of reflection results in the x and y-coordinates switching?

• y = x

• x-axis

• y-axis

• y = -x

When rotating a figure 90 degrees counterclockwise around the origin, what happens to the coordinates?

• Both coordinates become opposite

• x and y switch, y becomes opposite

• x and y switch, x becomes opposite

• Coordinates remain the same

What is the center of rotation in most cases?

• The line y = x

• The origin

• The y-axis

• The x-axis

How are the coordinates affected when a figure is rotated 180 degrees around the origin?

• Coordinates remain the same

• Both coordinates become opposite

• x and y switch, x becomes opposite

• x and y switch, y becomes opposite