Exploring Rigid Motions and Angle Congruence

What is the main focus of the lesson on rigid motions and parallel lines?

• Studying the properties of quadrilaterals

• Exploring the properties of parallel lines using rigid motions

• Learning about the properties of circles

• Understanding the properties of triangles

Which angles are considered corresponding angle pairs in the given diagram?

• Angles 4 and 7

• Angles 1 and 5

• Angles 2 and 8

• Angles 3 and 6

What are alternate interior angles?

• Angles that are on the same side of the transversal

• Angles that are on the same side of the transversal and outside the parallel lines

• Angles that are on opposite sides of the transversal and outside the parallel lines

• Angles that are on opposite sides of the transversal and inside the parallel lines

What is true about corresponding angle pairs and alternate interior angle pairs?

• They are always complementary

• They have the same measures

• They are always supplementary

• They have different measures

What happens to a line when it is translated?

• It changes its length

• It becomes perpendicular to the original line

• It becomes parallel to the original line

• It rotates around a point

What is the result of rotating a line by 180 degrees around a point?

• The line remains unchanged

• The line becomes perpendicular to the original line

• The line changes its length

• The line becomes parallel to the original line

What must be true about the original angles and their images after a translation?

• The angles have different measures

• The angles are supplementary

• The angles have equal measures

• The angles are complementary

What must be true about line AB and line A'B' after a translation?

• They intersect at a point

• They are parallel

• They are the same line

• They are perpendicular

What types of angle pairs are shown to be equal in measure by translations?

• Alternate exterior angles

• Corresponding angles

• Vertical angles

• Adjacent angles

What is the result of rotating angle BAC by 180 degrees about point B?

• The angle is congruent to its image

• The angle remains unchanged

• The angle becomes complementary

• The angle becomes supplementary