Congruence and Congruent Triangles

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Which pairs of triangles are congruent?
In the following diagram, $\triangle\ GHK$ $△ G HK$ $\cong$ $≅$ $\triangle\ QRS$ $△ QRS$ .

i) Find.
1. m $\angle\ G$ = ?
2. m $\angle\ R$ = ?
3. SR = ?
4. $\overline{HK}$ = ?
5. Find m $\angle\ R$ .
The gardener wants to divide a rectangular flower bed into 2 parts as shown in the following figure. Identify if the two parts are the same size and shape.
Write a two-column proof.
1. Given: $\overline{AC}$ $\cong$ $\overline{BD}$ , $\overline{AD}$ $\cong$ $\overline{BC}$ , $\angle\ CAD$ $\cong$ $\angle\ CBD$ , $\angle\ ADC$ $\cong$ $\angle\ BCD$
  Prove: $\triangle\ ACD$ $\cong$ $\triangle\ BDC$
2. Given: $\overline{XC}$ $\cong$ $\overline{ZC}$
  $\overline{CY}$ bisects $\overline{XZ}$
  Prove: $\triangle\ XCY$ $\cong$ $\triangle\ ZCY$
Write a flow proof
1. Given: $\overline{AC}$ $\cong$ $\overline{BD}$ , $\overline{AD}$ $\cong$ $\overline{BC}$ , $\angle\ CAD$ $\cong$ $\angle\ CBD$ , $\angle\ ADC$ $\cong$ $\angle\ BCD$
  Prove: $\triangle\ ACD$ $\cong$ $\triangle\ BDC$
2. Given: $\overline{XC}$ $\cong$ $\overline{ZC}$
  $\overline{CY}$ bisects $\overline{XZ}$
  Prove: $\triangle\ XCY$ $\cong$ $\triangle\ ZCY$