Theorem Thursday 4

Question 1

Translation postulate

Answer 1

A translation is a rigid motion

Question 2

Reflection postulate

Answer 2

A reflection is a rigid motion

Question 3

Rotation postulate

Answer 3

A rotation is a rigid motion

Question 4

Composition theorem

Answer 4

The composition of two or more rigid motions is a rigid motion

Question 5

Reflections in parallel lines theorem

Answer 5

If lines k and m are parallel then a reflection in line k followed by a reflection in line m is the same as a translation if a” is the image of a then 1.segment aa” is perpendicular to k and m and 2. Aa”=2d where d is the distance between k and m

Question 6

Reflections in intersecting lines theorem

Answer 6

If lines k and m intersect at a point p then a reflection in line k followed by a reflection in line m is the same as a rotation about the point p the angle of rotation is 2x degrees where x is the measure of the acute angle or the right angle formed by k and m