Transformations in Geometry

This video tutorial covers eighth grade 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 and concludes with transformations of quadrilateral ABCD.

What is the result of reflecting a shape over the y-axis?

• The shape is flipped horizontally.

• The shape is flipped vertically.

• The shape is rotated 90 degrees.

• The shape is unchanged.

When reflecting polygon B over the x-axis, what happens to its orientation?

• It rotates 180 degrees.

• It flips vertically.

• It flips horizontally.

• It remains the same.

What are the new coordinates of a point after a 180-degree counterclockwise rotation around (-3, 0)?

• (-4, 1)

• (2, 1)

• (-2, -1)

• (-3, 0)

What is the effect of a counterclockwise rotation on a point's coordinates?

• The x-coordinate increases.

• The y-coordinate decreases.

• Both coordinates change.

• The coordinates remain the same.

Which transformation involves moving a shape two units left and two units up?

• Translation

• Dilation

• Reflection

• Rotation

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

• Reflection over the y-axis

• Rotation over the x-axis

• Scaling up

• Translation to the right

How does the image of quadrilateral ABCD change after a translation that aligns B with D?

• It moves to the left.

• It rotates 90 degrees.

• It moves to the right.

• It flips over the x-axis.

What happens to quadrilateral ABCD after a reflection over segment BC?

• It rotates 180 degrees.

• It flips over segment BC.

• It remains unchanged.

• It moves upwards.

During a rotation about point A by angle DAB, what happens to the side corresponding to AD?

• It becomes part of segment AB.

• It becomes part of segment BC.

• It flips over the y-axis.

• It remains unchanged.

Which transformation is used to align a shape with a specific segment?

• Rotation

• Reflection

• Translation

• Dilation