Grades 7-8 Video Solutions 2024-2024_7-8

Video Transcription

Number two, a shape is made of equal sized pentagonal tiles. Which of the following tiles can be placed in the empty space to produce two closed curves?  So the first thing we can do is imagine filling out the empty space in the diagram like this. And now you can see that this would be the tile,  but it doesn't match any of the options. In fact, all of the options are upside down from the tile in the picture. And so if we rotate our picture upside down,  now we just need to figure out which tile matches the center pentagon, which is highlighted in red. And if we look at all the options,  we notice that tile C matches exactly to the red pentagon. So that means that the answer is C.

Video Summary

To solve the problem of which tile can be placed to form two closed curves with pentagonal tiles, first visualize filling the empty space. The correct tile doesn't initially match the given options because they are upside down. By rotating the image upside down, you can compare the options to the red-highlighted center pentagon. Tile C matches perfectly with the central red pentagon, making it the correct choice to complete the shape and create two closed curves. Therefore, the answer is tile C.

Keywords

pentagonal tiles

closed curves

tile C

rotate image

visualization