Question

b. in a translation, pairs of corresponding points are on parallel lines. true or false? c. in a rotation, pairs of corresponding points are on parallel lines. true or false? d. in a reflection, pairs of corresponding points lie on segments perpendicular to the line of reflection. true or false? e. in a rotation, pairs of corresponding points lie on concentric circles. true or false? f. in a translation, pairs of corresponding points lie on concentric circles. true or false?

Explanation:

• b. In a translation, every point of the pre - image is moved the same distance in the same direction, so corresponding points are on parallel lines.
• c. In a rotation, points move around a center of rotation and corresponding points are not on parallel lines.
• d. By the definition of reflection, corresponding points are on segments perpendicular to the line of reflection.
• e. In a rotation about a point (center of rotation), corresponding points are at the same distance from the center, so they lie on concentric circles.
• f. In a translation, points move in a straight - line path, not on concentric circles.

Answer:

b. True
c. False
d. True
e. True
f. False