Transformations and Angle Relationships

The video covers practice problems from lesson nine, focusing on geometric transformations. It includes rotating parallel lines around a point, finding midpoints for rotations, rotating triangles and calculating angles, and rotating coordinates around the origin. The video emphasizes understanding rotations, vertical and supplementary angles, and congruent figures.

What happens to the position of points A and B after a 90-degree clockwise rotation around point E?

• They remain in the same position.

• They move to a new line parallel to the original.

• They form a new triangle with point E.

• They rotate to new positions on the same line.

How do you determine the center of rotation for a 180-degree rotation between points P and Q?

• It is the midpoint between P and Q.

• It is the endpoint of line PQ.

• It is the point closest to P.

• It is the intersection of lines through P and Q.

What is the measure of angle B if it forms a supplementary angle with a 50-degree angle?

• 180 degrees

• 90 degrees

• 130 degrees

• 50 degrees

Which of the following is true about vertical angles?

• They are always 180 degrees.

• They are always 90 degrees.

• They are always equal.

• They are always supplementary.

What is the angle measure of angle B in the rotated triangle if it was 52 degrees before rotation?

• 52 degrees

• 26 degrees

• 78 degrees

• 104 degrees

What is the measure of the third angle in a triangle if the other two angles are 50 and 52 degrees?

• 180 degrees

• 52 degrees

• 50 degrees

• 78 degrees

How do you find the perpendicular line from a midpoint to determine the center of rotation?

• Draw a line that bisects the original line.

• Draw a line parallel to the original line.

• Draw a line perpendicular to the original line.

• Draw a line at a 45-degree angle to the original line.

If a point is rotated 180 degrees counterclockwise around the origin, what happens to its coordinates?

• They remain unchanged.

• They are reversed and signs are changed.

• They are doubled.

• They are halved.

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

• (-4, -1)

• (1, -4)

• (-1, 4)

• (4, -1)

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

• The x-coordinate changes sign.

• Both coordinates change sign.

• Neither coordinate changes sign.

• The y-coordinate changes sign.