Transformations and Coordinates in Geometry

The video tutorial explains how to reflect and translate a quadrilateral on a coordinate plane. It begins with a geometric reflection on the y-axis, followed by a translation three units to the right and one unit down. The tutorial covers both geometric and coordinate-based methods, ensuring a comprehensive understanding of these transformations.

What is the first step in transforming an object on a coordinate plane?

• Scale the object

• Shear the object

• Rotate the object

• Reflect the object

What is the name given to the four-sided figure in the video?

• Quadrilateral

• Hexagon

• Pentagon

• Triangle

On which axis is the quadrilateral reflected?

• x-axis

• w-axis

• z-axis

• y-axis

What is the initial position of point A before any transformation?

• (1, 2)

• (2, 1)

• (1, 1)

• (0, 0)

What is the first transformation applied to the quadrilateral?

• Scaling

• Reflection

• Rotation

• Translation

What is the initial y-coordinate of point D?

• 2

• 1

• 0

• -2

What is the initial x-coordinate of point C?

• 2

• -3

• 0

• 3

What is the initial x-coordinate of point B?

• -3

• 3

• 2

• 0

What is the initial y-coordinate of point C?

• -3

• 2

• 0

• 3

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

• It remains the same

• It becomes negative

• It becomes zero

• It doubles