True or false:
DC is a side of triangle ABD.
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True or false:
DC is a side of triangle ABD.
The problem asks if line segment DC is a side of triangle ABD.
In triangle geometry, the sides of a triangle are the segments connecting its vertices. Here, the triangle ABD is formed by vertices A, B, and D.
Upon observing the diagram:
Therefore, line segment DC is not a side of triangle ABD.
The statement "DC is a side of triangle ABD" is False.
False
Is the straight line in the figure the height of the triangle?
A triangle's sides are the three segments connecting its vertices. For triangle ABD, the vertices are A, B, and D. So the sides are: AB, BD, and AD.
Just because a segment appears in the diagram doesn't make it part of triangle ABD! DC connects points D and C, but C is not a vertex of triangle ABD. Only segments between the triangle's actual vertices count as sides.
A side is specifically a segment connecting two vertices of the same triangle. A line segment is any straight line between two points. DC is a line segment, but not a side of triangle ABD.
Always start by identifying the triangle's name. Triangle ABD has vertices A, B, and D. Then list only the segments connecting these three points: AB, BD, and AD. Ignore any other segments in the diagram!
Yes! DC could be a side of triangle ACD or triangle BCD if those triangles exist in the diagram. But the question specifically asks about triangle ABD only.
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