Question

The two right scalene triangles shown are similar , but not congruent. Which statement about the triangles is not true

Answer 1

Answer:

Third choice.

The right correspondence is $\angle CDB \cong \angle ECD$

Step-by-step explanation:

The third choice is not true, that is

$\angle CDB$ NOT corresponds to $\angle ECD$

If $\triangle CBD \sim \triangle CDE$, then corresponding sides are proportional, and corresponding angles are congruent. The corresponding angle of $\angle CDB$ is

$\angle CDB \cong \angle ECD$

Therefore, the third option shows a wrong correspondence, that's the right choice in this case, because it doesn't express a valid correspondence.

Answer 2

Answer: <CDB corresponds to <ECD

Step-by-step explanation:

The angles in similar triangles correspond to each other.

For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)

In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.

<CED is not <ECD, so that answer is wrong.

Tell me if I need to clarify anything - this topic is kind of hard to explain :/