Respuesta :

Given:

11. [tex]\Delta DCB\cong \Delta CDM[/tex]

13. [tex]\Delta CBA\cong \Delta STA[/tex]

To find:

The missing values to complete the congruence statements:

11. [tex]\overline{BD}\cong \_\_\_\_\_[/tex]

13. [tex]\angle BAC\cong \_\_\_\_\_[/tex]

Solution:

11.

We have,

[tex]\Delta DCB\cong \Delta CDM[/tex]

Here, vertices D, C, B are corresponding to C, D, M. So,

[tex]\overline{BD}\cong \overline{MC}[/tex]

Therefore, the complete statement is [tex]\overline{BD}\cong \overline{MC}[/tex].

13.

We have,

[tex]\Delta CBA\cong \Delta STA[/tex]

Here, vertices C, B, A are corresponding to S, T, A. So,

[tex]\angle BAC\cong \angle TAS[/tex]

Therefore, the complete statement is [tex]\angle BAC\cong \angle TAS[/tex].