Number 10. There is a square with line segments drawn inside it. The line segments are drawn either from the vertices or the midpoints of other line segments. We colored one-eighth of the large square. Which one is our coloring? Okay, so note that what we need is one-eighth of the large square to be colored. So just off the top of our head, we can look at these, we can see which one of these looks like it might take eight of them. And from that, we can probably get a good guess, but we can also look at this in terms of how much of the whole square each one actually takes up. Step-by-step, we know the following things. C and E represent one-fourth of the square colored. Why? Because this is half of this whole half of the square. So this yellow triangle must be one-fourth of the square. Similarly, this orange square takes up, can be placed 1, 2, 3, 4 times in the big square. D, however, can be placed 1, 2, 3, 4, 5, 6, 7, 8 times into the square. And both A and B have a smaller fraction colored than D. So D is the only answer that can exist.

square

line segments

one-eighth

coloring

fraction