The similarity statements indicate that corresponding sides of trapezoids ABCD and EFGH are in the ratio 2:3. The congruence statements state corresponding angles are equal. The perimeters are 33 cm and 79 cm for ABCD and EFGH, respectively.
1. Similarity statements for each of the four pair of corresponding sides:
* AB/EH = 2/3
* BC/FG = 2/3
* CD/HF = 2/3
* DA/HE = 2/3
2. Congruence statements for each of the four pair of corresponding angles:
* ∠A ≅ ∠E
* ∠B ≅ ∠F
* ∠C ≅ ∠G
* ∠D ≅ ∠H
3. Perimeter for each of the isosceles trapezoids:
Trapezoid ABCD:
* AB + BC + CD + DA = 12 cm + 9 cm + 4 cm + 8 cm = 33 cm
Trapezoid EFGH:
* EH + FG + HF + GE = 24 cm + 27 cm + 12 cm + 16 cm = 79 cm
Therefore, the perimeter of trapezoid ABCD is 33 cm and the perimeter of trapezoid EFGH is 79 cm.