Complete each congruence statement by naming the corresponding angle or side (odd questions only)
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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].