Answer:
1. Rhombus
2. Square
Step-by-step explanation:
1. A rhombus is a quadrilateral whose four sides all have the same length and opposite sides are parallel.
From the diagram, you can see that [tex]\overline{AB}\parallel \overline{CD},\ \overline{AD}\parallel \overline{BC}[/tex] (given) and all four sides are congruent, thus this shape is a rhombus.
2. A square is a quadrilateral which has four equal sides, four equal angles (90-degree angles) and opposite sides are parallel.
From the diagram, you can see that [tex]\overline{EF}\parallel \overline{GH},\ \overline{EH}\parallel \overline{FG}[/tex] (given), all four sides are congruent, and all four angles are right angles, thus this shape is a square.