Question

Select the reason why these triangles aresimilar. If they are not, select "Not similar."23321.55A. AAB. SASC. SSSD. Not similar

Answer 1

The Solution:

Given the figure below:

The Similarity Theorem states that triangle BCD can only be similar to triangle ACE if the condition below is satisfied:

`(BC)/(AC)=(BD)/(AE)=(CD)/(CE)`

otherwise, they are not similar.

So, applying the above formula, we get

`\frac{2}{2+2_{}}=(3)/(5)=(3)/(3+1.5)`
`(2)/(4)=(3)/(5)=(3)/(4.5)`

Clearly, we have that:

`(2)/(4)\\e(3)/(5)\\e(3)/(4.5)`

Thus, we conclude that the two triangles are not similar.

Therefore, the correct answer is: Not similar