Question

If triangle LMN is similar to triangle XYZ, which of the following is not necessarily true? angle L is congruent to angle X angle M is congruent to angle Y length of side M N over length of side N L equals length of side Y Z over length of side Z X length of side L M over length of side M N equals length of side X Y over length of side X Z.

Answer 1

I do not understand the answers can you list them better please?

Answer 2

D:Length side LM over length of side MN equals length of side XY over length of side XZ.

Explanation:

We are given that two triangles LMN and XYZ are similar.

We have to find the not necessarily true information about given triangles.

We know that when two triangles are similar then their corresponding angles are congruent and the ratio of corresponding sides of two triangles are equal.

`\triangle LMN\sim \triangle XYZ`

Therefore,
`\angle L\cong \angle X`

`\angle M\cong \angle Y`

`\angle N\cong \angle Z`

`(LM)/(XY)=(MN)/(YZ)=(LN)/(XZ)`

`(LM)/(MN)=(XY)/(YZ)`

But ,
`(LM)/(MN)=(XY)/(XZ)` is not necessarily true.

Hence, option D is true option.

Answer : D:Length side LM over length of side MN equals length of side XY over length of side XZ.