Simply use a protractor and all 3 interior angles should each measure 60 degrees.
The following is the answer.
Use a straightedge to draw a line segment from A to one of the points where the two circles intersect.
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.
Draw a base of the required length.
An equilateral triangle is a regular polygon because it has 3 equal sides and 3 equal 60 degree angles that add up to 180 degrees.
The following is the answer.
Use a straightedge to draw a line segment from A to one of the points where the two circles intersect.
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.
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The question isn't clear.
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.
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True...
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.
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.
equilateral triangle ;)
An equilateral triangle has three sides of equal length. The sum of the three internal angles (60o each) equals 180o