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Questions and Answers
Euclidean geometry only allows for the existence of straight-sided triangles
Euclidean geometry only allows for the existence of straight-sided triangles
False
A triangle can be defined as a polygon with three corners and three sides
A triangle can be defined as a polygon with three corners and three sides
True
In non-Euclidean geometries, three straight segments do not necessarily determine a triangle
In non-Euclidean geometries, three straight segments do not necessarily determine a triangle
True
A geodesic triangle can be defined as a region of a general two-dimensional surface enclosed by three straight sides
A geodesic triangle can be defined as a region of a general two-dimensional surface enclosed by three straight sides
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A curvilinear triangle necessarily has three curved sides
A curvilinear triangle necessarily has three curved sides
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An equilateral triangle has three angles measuring 60° each.
An equilateral triangle has three angles measuring 60° each.
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An isosceles triangle can have all three sides of different lengths.
An isosceles triangle can have all three sides of different lengths.
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The 45–45–90 right triangle is always an equilateral triangle.
The 45–45–90 right triangle is always an equilateral triangle.
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Hatch marks, also called tick marks, are used in diagrams of triangles to represent the length of each side.
Hatch marks, also called tick marks, are used in diagrams of triangles to represent the length of each side.
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Euclid defined three types of triangle according to the lengths of their sides using Greek terminology.
Euclid defined three types of triangle according to the lengths of their sides using Greek terminology.
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