True or false:
BD is a side of triangle BCD.
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True or false:
BD is a side of triangle BCD.
To ascertain whether BD is a side of triangle BCD, observe the basic geometric principles associated with triangles.
In Euclidean geometry, a triangle is named based on its vertices. For triangle BCD, it consists of three vertices: B, C, and D.
The sides of the triangle are the line segments directly joining these vertices. Thus, the sides of triangle BCD are:
Line segments such as BD connect two vertices within the triangle and thus qualify as one of its sides. This aligns with the standard definition of a triangle in Euclidean geometry, where any side is formed by connecting two of its vertices.
Therefore, indeed, BD is a side of triangle BCD.
The correct conclusion is true: BD is a side of triangle BCD.
True
Can a triangle have a right angle?
A triangle's sides are the line segments that connect its vertices. For triangle BCD, the vertices are B, C, and D, so the sides are BC, CD, and BD - that's it!
No! By definition, a triangle always has exactly 3 sides and 3 vertices. If it had more sides, it would be a different polygon like a quadrilateral or pentagon.
In triangles, there are no diagonals! Every line segment connecting two vertices is a side. Diagonals only exist in polygons with 4 or more sides.
Not for identifying sides! Triangle BCD, triangle CBD, and triangle DBC all have the same three sides: BC, CD, and BD. The order might matter for other properties, but not for basic side identification.
Ask yourself: Does BD connect two vertices of the triangle? Since B and D are both vertices of triangle BCD, BD is definitely a side. It's that simple!
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