Question

Based on the given information, determine which two statements are true and which is a lie. Explain what is incorrect about the “lie.”

Answer 1

The first statement is a lie, second and third statement is true.

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
`a^2 : b^2`.

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
`3^2 : 1^2=9:1`.

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.