Chapter 7.1, Problem 65SR

To determine

To prove: The $\Delta ABC\cong \Delta GHI$ .

Answer to Problem 65SR

The triangle $\Delta ABC\cong \Delta GHI$ by Side-Side-Side congruence postulate.

Explanation of Solution

Given:

It is given that $\Delta ABC\cong \Delta DEF$ , and $\Delta DEF\cong \Delta GHI$ .

Calculation:

Since corresponding part of congruent figures are congruent and it is known that $AB\cong DE$ , $BC\cong EF$ , and $AC\cong DF$ . Like wise $DE\cong GH$ , $EF\cong HI$ , and $DF\cong GI$ . It follows by the transitive property of segment congruence $AB\cong GH$ , $BC\cong HI$ , and $AC\cong GI$ .

Therefore, the triangle $\Delta ABC\cong \Delta GHI$ by Side-Side-Side congruence postulate.