Transformations of Triangles and Polygons

This video tutorial covers eighth-grade geometry transformations, including reflections, rotations, and sequences of transformations. It begins with reflecting trapezoid A over the y-axis and x-axis, followed by rotating a point 180 degrees counterclockwise. The tutorial then describes a sequence of transformations for triangle B from triangle A, and concludes with transformations of quadrilateral ABCD through translation, reflection, and rotation.

What is the result of reflecting trapezoid A over the y-axis?

• Polygon D

• Polygon C

• Polygon E

• Polygon B

Which axis is used to reflect polygon B to create polygon C?

• w-axis

• x-axis

• z-axis

• y-axis

After reflecting polygon C over the x-axis, what is the resulting polygon?

• Polygon A

• Polygon E

• Polygon B

• Polygon D

What is the result of reflecting polygon B over the x-axis?

• Polygon A

• Polygon C

• Polygon D

• Polygon E

What is the new coordinate of the point (-4, 1) after a 180-degree counterclockwise rotation around (-3, 0)?

• (-3, -1)

• (-2, -1)

• (-2, 0)

• (-1, -2)

What is the center of rotation for the point (-4, 1) in the given transformation?

• (-1, -2)

• (-2, -1)

• (-4, 1)

• (-3, 0)

What is the new coordinate of the point (-4, 1) after a 180-degree counterclockwise rotation around (-3, 0)?

• (-2, -1)

• (-1, -2)

• (-3, -1)

• (-2, 0)

What is the center of rotation for the point (-4, 1) in the given transformation?

• (-1, -2)

• (-2, -1)

• (-4, 1)

• (-3, 0)

What is the first step in transforming triangle A to triangle B?

• Scaling by a factor of 2

• Translation two units left and two units up

• Reflection over the x-axis

• Rotation 90 degrees clockwise

What is the final transformation in the sequence to obtain triangle B from triangle A?

• Reflection over the y-axis

• Translation two units down

• Rotation 180 degrees

• Scaling by a factor of 0.5