Answer the following statement(s) true (T) or false (F)

Question

1. If a similitude takes ?ABC to ?A'B'C' so that A'B'/AB = 5, then the ratio of the area of ?A'B'C to the area of ?ABC is 5.
2. The reflection with respect to maps square ABCD onto itself.
3. Every glide reflection has at least one fixed point.
4. Size transformations are the one type of transformation that does not have an identity
transformation.
5. All polygons have n reflections onto themselves.
6. If A'B'C' is the image of ?ABC under a similitude, then the area of ?A'B'C is the same as
the area of ?ABC.

Answer 1

1. False—The ratio of the areas is 25.
2. True
3. The reflection component of a glide reflection does not have a fixed point.
4. False: Size transformations have the identity transformation: Center 0, scale factor 1.
5. False:The polygons must be regular for this to occur.
6. False: if a component of the similitude is a size transformation with scale factor? 1.