|Symmetry group||Dihedral (D6), order 2×6|
|Internal angle (degrees)||120°|
Step 1: Draw two parallel vertical lines and a horizontal line. Step 2: Draw a vertical centerline and an additional horizontal line. Step 3: Mark points along the centerline and connect the corners. Step 4: Cut out the hexagonal-shaped pattern along the lines.
Use a ruler and a protractor to draw a perfect hexagon. For a rougher hexagon, try using a round shape and a ruler to guide your hand. If precision is not paramount, then feel free to sketch out a simple hexagon using only a pencil and a creative mind.
I put together 2 trapezoids to make a hexagon. It has 6 sides and 6 vertices. It has 2 equal parts.
Draw horizontal diameter AB and vertical center line. Draw lines tangent to the circle and perpendicular to AB at A and B. Use a T square and a 30°/60° triangle to draw the remaining sides of the figure tangent to the circle and at 30° to the horizontal.
Lesson 5 Summary
Let’s use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.
So a hexagon can have 5 right-angles, as shown. Sum of Angles = 900′. 6 right angles = 540′, leaving 360′, which is impossible. So maximum number is 5.
A hexagon has six sides, and the sum of interior angles of a polygon can be calculated in the formula: 180(n−2) , where n is the number of sides in the polygon. 180(6−2)=180(4)=720 , … so each angle of a regular hexagon is 7206=120 . Thus, a regular hexagon has zero right angles.
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