Exploring Geometric Transformations

The video tutorial covers geometric transformations, including reflections, translations, and dilations. It explains how to reflect shapes across the x and y axes, translate them by moving up, down, left, or right, and dilate them to change their size. Each transformation is demonstrated with examples, showing how coordinates are adjusted accordingly.

What is a geometric transformation?

• A way to move a shape from one set of coordinates to another

• A method to calculate the area of a shape

• A process of changing the color of a shape

• A technique to draw shapes on a coordinate plane

What happens to the y-coordinates when a shape is reflected across the x-axis?

• They are doubled

• They remain the same

• They become negative

• They become positive

When reflecting a shape across the y-axis, what change is made to the coordinates?

• The y-coordinates are doubled

• The x-coordinates are doubled

• The y-coordinates are made negative

• The x-coordinates are made negative

What is the term for the original shape before any transformation?

• Post-image

• Pre-image

• Final image

• Transformed image

How do you move a shape three units up in a translation?

• Subtract three from the y-coordinates

• Add three to the x-coordinates

• Subtract three from the x-coordinates

• Add three to the y-coordinates

What operation is performed to move a shape four units to the left?

• Subtract four from the x-coordinates

• Subtract four from the y-coordinates

• Add four to the x-coordinates

• Add four to the y-coordinates

What is a dilation in geometric transformations?

• A technique to translate a shape

• A process of rotating a shape

• A way to reflect a shape

• A method to change the size of a shape

If a shape is dilated by a factor of 1/2, what happens to its size?

• It remains the same size

• It becomes four times as large

• It becomes half its original size

• It becomes twice as large

What is the result of multiplying the coordinates of a shape by 2 in a dilation?

• The shape becomes half its original size

• The shape remains the same size

• The shape becomes twice as large

• The shape becomes four times as large

What is the new name given to a shape after a transformation?

• Transformed image

• Pre-image

• Post-image

• Image with prime notation