Answer:
The first statement is a lie, second and third statement is true.
Step-by-step explanation:
Consider the provided information.
For two similar triangles, if the scale factor is a : b, then the ratio of their perimeters will be a : b.
For two similar triangles, if the scale factor of a : b, then the ratio of their areas will be [tex]a^2 : b^2[/tex].
For two similar triangles, if the scale factor is a : b, then the ratio of their altitudes will be a : b.
It is given that the ratio of perimeters is 6:1 which is incorrect as the ratio should be 3:1.
It is given that the ratio of areas is 9:1 which is correct because [tex]3^2 : 1^2=9:1[/tex].
It is given that the ratio of the altitude is 3:1 which is correct.
Hence, the first statement is a lie, second and third statement is true.
