Question

question 1 of 10
which of the following are valid names for the triangle below? check all that apply.

a. △dmr
b. △mode
c. △mrd
d. △rmo
e. △rm
f. △sem

Explanation:

A triangle is named by its three vertices. So we check each option:

• Option A: $\triangle DMR$ uses vertices \(D\), \(M\), \(R\) which are vertices of the triangle.
• Option B: $\triangle MODE$ has a vertex \(E\) which is not a vertex of the main triangle (it's a point on a side).
• Option C: $\triangle MRD$ uses vertices \(M\), \(R\), \(D\) which are vertices of the triangle.
• Option D: $\triangle RMO$ has a vertex \(O\) which is not a vertex of the main triangle (it's a point on a side).
• Option E: $\triangle RM$ only has two vertices. A triangle needs three vertices.
• Option F: $\triangle SEM$ has vertices \(S\), \(E\), \(M\). \(S\) is a point on a side and \(E\) is a point on a side, not vertices of the main triangle.

Answer:

A. $\triangle DMR$, C. $\triangle MRD$