Question

study the list of figures below. use the pattern to draw the next figure in the list. choose the correct answer below.

Explanation:

Step1: Analyze the pattern of triangle division

The first triangle has no internal lines. The second divides the triangle into 4 smaller triangles (by connecting midpoints). The third divides it into 8 smaller triangles (subdividing the 4 into 2 each). The pattern is each time, the number of small triangles doubles (or the division becomes more detailed, with each existing small triangle being subdivided).

Step2: Match with the options

Looking at the options, option A shows a further subdivision where the smaller triangles are again divided, following the pattern of increasing the number of internal divisions (subdividing each small triangle into smaller ones), which aligns with the progression (1st: 0 divisions, 2nd: 1 level of division, 3rd: 2 levels, 4th: 3 levels of division).

Answer:

A. (the figure corresponding to option A)