IXL - Construct an equilateral triangle or regular hexagon (Geometry practice)

The diagram below shows a nearly completed construction of an equilateral triangle with side

Complete the construction.

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Redo

Point

Segment

Ray

Line

Circle

Delete

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Learn with an example

question

The diagram below shows a nearly completed construction of an equilateral triangle with side

Complete the construction.

Undo

Redo

Point

Segment

Ray

Line

Circle

Delete

key idea

An equilateral triangle has all three sides congruent and all angle measures equal to 60°.

solution

Part of the construction was done for you. Here are the steps to create this part of the construction.

Start with the objects in the diagram below.

Draw a circle with radius
A
B
centered at
A
.

Draw a circle with radius
A
B
centered at
B
.

Mark a point where
⨀
A
and
⨀
B
intersect. Call it
C
.

start of large bold text, Complete the construction., end of large bold text

To complete the construction of an equilateral triangle with side

carry out the following steps:

Draw the segment between
A
and
C
.

Draw the segment between
B
and
C
.

Since

and

are both on

⨀

Since

and

are both on

⨀

Since

△

is an equilateral triangle.

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Time
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L.10Congruency in isosceles and equilateral triangles

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