Question

(02.05 MC)

Triangle ABC is transformed to obtain triangle A′B′C′:

Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees

Triangle ABC is similar to triangle A prime B prime C prime. because triangle A prime B prime C prime. is obtained by dilating Triangle ABC.by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

Answer 1

The answer is the last choice. It says the triangle is dilated by a scale factor of
`(1)/(4)`. To check this we can just look at the side lengths if the triangles.
`AB` has a length of 8 by looking at the graph, and
`A'B'` has a length of 2 from the graph too. So when we put those lengths
`(2)/(8)` into a fraction, it simplifies to
`(1)/(4)`. The only answer that says this is the last answer choice.

Answer 2

Triangle ABC is similar to triangle A prime B prime C prime. because triangle A prime B prime C prime. is obtained by dilating Triangle ABC.by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees