When constructing an inscribed hexagon, which step comes after constructing a circle?

Mathematics

2 answers:

egoroff_w [7]4 years ago

7 0

Answer: After constructing the circle to have to make arcs around the circle then connect then connect the arcs.

gtnhenbr [62]4 years ago

4 0

Answer:

Make six arc on the circumference of the constructed circle

Step-by-step explanation:

In construction of an inscribed hexagon.

After constructing a circle, we divide the circumference into six arc with the help of divider .

After that we will have to join the end points of the each arc by a line segment. These line segments is actually going to work as the sides of the Inscribed Hexagon.

The image of the inscribed hexagon has been attached.

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Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$