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What are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle triangle?

The following is the answer.


What is the best next step in the construction of an equilateral triangle?

Use a straightedge to draw a line segment from A to one of the points where the two circles intersect.


In the straightedge and compass construction of an equilateral triangle below which of the following reasons can you use to prove that and are congruent?

AB and BC are both radii of B. To prove that AB and AC are congruent: "AC and AB are both radii of B." Apex.


Is it possible to construct an equilateral triangle using only a straightedge and a compass?

True


Wich is the next step in the following construction of an equilateral triangle?

The question isn't clear.


In the straightedge and compass construction of the equilateral triangle below reasons can you use to prove that and are congruent?

In the construction of an equilateral triangle using a straightedge and compass, you can prove that the segments are congruent by demonstrating that all sides of the triangle are created using the same radius of the compass. When you draw a circle with a center at one vertex and a radius equal to the distance to the next vertex, you ensure that each side is of equal length. Additionally, using the properties of circles, you can show that the angles formed at each vertex are congruent, reinforcing that all sides are equal, thus establishing the triangle's equilateral nature.


You can draw a regular hexagon using only a straightedge and compass by first building an equilateral triangle?

trueee


You can draw a regular hexagon using only a straightedge and compass by the first building an equilateral triangle?

True...


What tools or construction is needed to construct an equilateral triangle?

To construct an equilateral triangle, you need a straightedge (ruler without markings) and a compass. First, draw a straight line segment of the desired length for one side of the triangle. Then, use the compass to draw arcs from each endpoint of the segment, with the radius set to the length of the segment, intersecting the arcs to find the third vertex. Finally, connect the vertices to complete the equilateral triangle.


The following statements are true in Euclidean geometry. I. The sum of the interior angles of a triangle is always 180 and deg. II. It is possible to construct an equilateral triangle. III. At most a?

In Euclidean geometry, the statements are true: I. The sum of the interior angles of a triangle is always 180 degrees; II. It is indeed possible to construct an equilateral triangle, as it can be done with a compass and straightedge; III. At most, a triangle has three sides, as defined by its geometric properties.


The first step in the construction of a perpendicular bisector is to draw a?

equilateral triangle ;)


How you can justify the construction of an equilateral triangle?

An equilateral triangle has three sides of equal length. The sum of the three internal angles (60o each) equals 180o