Question

Construct a six-pointed star using the following procedure.

$\left(1\right).$ Draw a ray, $\overrightarrow{AB}$. On $\overrightarrow{AB}$ mark off, in order, points $C$ and $D$ such that $AB=BC=CD$.

$\left(2\right).$ Construct equilateral $\Delta ADG$.

$\left(3\right).$ On $\overline{AG}$ mark off points $E$and $F$ so that both $AE$and $EF$ equal $AB$.

$\left(4\right).$ On $\overline{GD}$ mark off points $H$and $I$ so that both $GH$and $HI$ equal $AB$.

$\left(5\right).$To complete the star, draw the three lines $\overleftrightarrow{FH},\overleftrightarrow{EB},$and $\overleftrightarrow{CI}$.

$\left(1\right)$

Short answer

The figure is,

Step-by-step solution

Step 1. Given information.

It is given that,$AB=BC=CD$

Step 2. Diagram.

$\left(2\right)$

The figure is,

Step 1. Given information.

It is given that,$AB=BC=CD$

Step 2. Diagram.

$\left(3\right)$

The figure is,

Step 1. Given information.

It is given that,$AB=BC=CD$

Step 2. Diagram.

$\left(4\right)$

The figure is,

Step 1. Given information.

It is given that,$AB=BC=CD$

Step 2. Diagram.

$\left(5\right)$

The figure is,

Step 1. Given information.

It is given that,$AB=BC=CD$

Step 2. Diagram.

Therefore, the required figure are drawn above.