Question

question 8 of 10
which of the following are valid names for the given triangle? check all that apply.

a. △may
b. △axm
c. △max
d. △tay
e. △xma
f. △xmt

Explanation:

Step1: Recall the naming rule of a triangle

A triangle is named by its three vertices. The order of the vertices does not matter.

Step2: Analyze each option

• Option A: $\triangle MAY$: The vertices \(M\), \(A\), \(Y\) are not all vertices of the given triangle. \(Y\) is a point on side \(XA\), not a vertex.
• Option B: $\triangle AXM$: The vertices \(A\), \(X\), \(M\) are the three vertices of the triangle.
• Option C: $\triangle MAX$: The vertices \(M\), \(A\), \(X\) are the three vertices of the triangle.
• Option D: $\triangle TAY$: \(T\) is a point on side \(MA\), \(Y\) is a point on side \(XA\), not vertices of the triangle.
• Option E: $\triangle XMA$: The vertices \(X\), \(M\), \(A\) are the three vertices of the triangle.
• Option F: $\triangle XMT$: \(T\) is a point on side \(MA\), not a vertex of the triangle.

Answer:

B. $\triangle AXM$, C. $\triangle MAX$, E. $\triangle XMA$