After observing this pattern, Lexie made a conjecture for the next shape in the pattern. Five squares in a row. Each square has a segment extending from its center to a vertex of the square. In the first square, the segment extends to the top left. In the second square, the segment extends to the top right. In the third square, the segment extends to the bottom right. In the fourth square, the segment extends to the bottom left. In the fifth square, the segment extends to the top left. Which shape was most likely her conjecture for the next shape?

Question

Yosef Mclaughlin

Mathematics

30 November, 19:29

After observing this pattern, Lexie made a conjecture for the next shape in the pattern. Five squares in a row. Each square has a segment extending from its center to a vertex of the square. In the first square, the segment extends to the top left. In the second square, the segment extends to the top right. In the third square, the segment extends to the bottom right. In the fourth square, the segment extends to the bottom left. In the fifth square, the segment extends to the top left. Which shape was most likely her conjecture for the next shape?

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Answers (1)

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Xander · Answer 1

a square with a segment extending from the center to the top right vertex

Step-by-step explanation:

According to the described pattern, the shapes are all squares with a segment that's rotating in a clock-wise motion.

Starting at the top left corner, moving to the top right, then bottom right and finally bottom left.

Since the fifth figure shows this patern is starting over, it would be an accepable inference that the following shape is the same as the second shape.