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`.