Question

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

Answer 1

Given:

1. $\Delta HJI\cong \Delta IQP$

3. $\Delta JLK\cong \Delta FGH$

To find:

The missing values to complete the congruence statements:

1. $\overline{IH}\cong \_\_\_\_$

3. $\angle KJL\cong \_\_\_\_\_$

Solution:

1.

We have,

$\Delta HJI\cong \Delta IQP$

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

$\overline{IH}\cong \overline{PI}$

Therefore, the complete statement is $\overline{IH}\cong \overline{PI}$.

3.

We have,

$\Delta JLK\cong \Delta FGH$

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

$\angle KJL\cong \angle HFG$

Therefore, the complete statement is $\angle KJL\cong \angle HFG$.