Respuesta :
We Cannot conclude that triangles DEF and LNM are similar if DF = 8 and LM = 4.
Solution:
Given that for two triangle DEF and LNM, DE = 8 and LM = 4.
To say that two triangles are similar the provided information is not complete.
Two triangles DEF and LNM , will be similar if there corresponding sides are in ratio which means
[tex]\frac{\mathrm{DE}}{\mathrm{LM}}=\frac{\mathrm{EF}}{\mathrm{NM}}=\frac{\mathrm{EF}}{\mathrm{NM}}[/tex]
But we have only information of [tex]\frac{\mathrm{DE}}{\mathrm{LM}}=\frac{8}{4}=2[/tex]
But do not have any information regarding two remaining ratios that are [tex]\frac{\mathrm{EF}}{\mathrm{NM}} \text { and } \frac{\mathrm{EF}}{\mathrm{NM}}[/tex]
Hence cannot conclude that triangles DEF and LNM similar if DF = 8 and LM = 4
Answer:
No, there is not enough information
Step-by-step explanation:
