Respuesta :

Given:

1. [tex]\Delta HJI\cong \Delta IQP[/tex]

3. [tex]\Delta JLK\cong \Delta FGH[/tex]

To find:

The missing values to complete the congruence statements:

1. [tex]\overline{IH}\cong \_\_\_\_[/tex]

3. [tex]\angle KJL\cong \_\_\_\_\_[/tex]

Solution:

1.

We have,

[tex]\Delta HJI\cong \Delta IQP[/tex]

Here, vertices H, J, I are corresponding to I, Q, P. So,

[tex]\overline{IH}\cong \overline{PI}[/tex]

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

3.

We have,

[tex]\Delta JLK\cong \Delta FGH[/tex]

Here, vertices J, L, K are corresponding to F, G, H. So,

[tex]\angle KJL\cong \angle HFG[/tex]

Therefore, the complete statement is [tex]\angle KJL\cong \angle HFG[/tex].