Question

1. how many triangles are shown? the triangles may overlap. 7 9 8 6

Explanation:

Step1: Count small triangles

Count the small non - overlapping triangles. There are 4 small triangles: $\triangle QPT$, $\triangle TPS$, $\triangle SPR$, $\triangle RPQ$.

Step2: Count medium - sized triangles

Count the medium - sized triangles formed by combining two small triangles. There are 4 medium - sized triangles: $\triangle QTS$, $\triangle QRS$, $\triangle TRS$, $\triangle TQR$.

Answer:

8