AMC8 2001
AMC8 2001 · Q23
AMC8 2001 · Q23. It mainly tests Basic counting (rules of product/sum), Triangles (properties).
Points R, S and T are vertices of an equilateral triangle, and points X, Y and Z are midpoints of its sides. How many noncongruent triangles can be drawn using any three of these six points as vertices?
点$R,S,T$是一个等边三角形的顶点，点$X,Y,Z$是其边的中点。用这六个点中的任意三个作为顶点，可以画出多少个非全等的三角形？
(A)
1
1
(B)
2
2
(C)
3
3
(D)
4
4
(E)
20
20
Answer
Correct choice: (D)
正确答案：（D）
Solution
There are four noncongruent triangles.
有四个非全等的三角形。
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