Question

draw a parallelogram.
partition (cut) each shape into 6 equal pieces.

Explanation:

Step1: Draw a standard parallelogram

A parallelogram has 2 pairs of parallel sides, e.g.:

    ________
   /        /
  /________/

Step2: Partition circle into 6 equal parts

Divide the circle's 360° into 6 equal angles: $\frac{360^\circ}{6}=60^\circ$. Draw 6 lines from the center, each 60° apart, creating 6 congruent sectors.

Step3: Partition square into 6 equal parts

First, divide 1 side into 6 equal segments. Draw lines from the opposite side's corresponding points, creating 6 congruent rectangles (each with area $\frac{1}{6}$ of the square).

Step4: Partition rectangle into 6 equal parts

Divide the longer side into 6 equal segments. Draw lines parallel to the shorter side through each segment, creating 6 congruent smaller rectangles (each with area $\frac{1}{6}$ of the original rectangle).

Answer:

1. Parallelogram: A four-sided figure with both pairs of opposite sides parallel (example drawing as shown in Step1).
2. Circle: 6 congruent 60° sectors, created by 6 lines from the center spaced 60° apart.
3. Square: 6 congruent thin rectangles, formed by dividing one side into 6 equal parts and drawing lines to the opposite side.
4. Rectangle: 6 congruent smaller rectangles, formed by dividing one long side into 6 equal parts and drawing lines parallel to the short side.