Triangles are polygons made up of three sides. In relation to this figure, analyze the following statements. The measure of an external angle of a triangle is equal to the sum of the measures of the non-adjacent internal angles and it. True or false An isosceles triangle is any triangle that has two sides that are congruent to each other. true or false If a triangle has two sides with equal measurements, the internal angles opposite these sides have equal measurements true or false An equilateral triangle is also isosceles true or false
Question
Answer:
Let's analyze each statement:
The measure of an external angle of a triangle is equal to the sum of the measures of the non-adjacent internal angles and it.
True or False: This statement is False. The measure of an external angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles, not including the external angle itself.
An isosceles triangle is any triangle that has two sides that are congruent to each other.
True or False: This statement is True. An isosceles triangle is defined as a triangle that has at least two sides of equal length. The congruent sides are also referred to as the legs of the triangle.
If a triangle has two sides with equal measurements, the internal angles opposite these sides have equal measurements.
True or False: This statement is True. In an isosceles triangle, if two sides are congruent, then the angles opposite those sides are also congruent. This is a property of isosceles triangles.
An equilateral triangle is also isosceles.
True or False: This statement is True. An equilateral triangle is a special type of isosceles triangle where all three sides are congruent. Therefore, an equilateral triangle satisfies the criteria for being an isosceles triangle.
In summary:
Statement 1: False
Statement 2: True
Statement 3: True
Statement 4: True
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