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# Geometry Escape Challenge D Answer Key

## Geometry Escape Challenge D Answer Key Introduction:

Are you one of the many students who have attempted to complete Geometry Escape Challenge D? If so, have you been struggling to solve the puzzles and escape the room? Fear no more, as in this blog post, we will guide you through the solution steps of the challenges in Geometry Escape Challenge D. We will also provide you with the answer key for your benefit. So, grab a pen and paper, put on your thinking cap, and let’s get started!

### Blog Body:

The first task in Geometry Escape Challenge D is to solve the puzzle, “Angle Zodiac.” To solve this puzzle, you need to determine which of the three angles in a triangle is the zodiac angle. To do this, you need to first find the perimeter of the triangle using the given side lengths. The perimeter is 48 units, and using this, you can identify that angle C is the smallest angle. Therefore, angle C is the zodiac angle.

The second task in the Geometry Escape Challenge D is to solve the puzzle, “The Ancient Key.” In this puzzle, you have to determine the missing value of x in the trapezium given in the puzzle. This is quite simple, as we know that opposite sides of a trapezium are equal in length. So, adding the lengths of both sides, we find that 6x-10=5x+8, which simplifies to x=18.

The third puzzle in the Geometry Escape Challenge D is named, “Pyramid Scheme.” In this puzzle, you are presented with a tricky problem, which requires an understanding of the Pythagorean theorem. You have to find the height of the pyramid, using its base, diagonal, and slant height. By applying the Pythagorean Theorem using the triangle formed by the slant height, height, and the side of the pyramid, you can find the height as √(76²-45²) = √3721 = 61 units.

The fourth task in Geometry Escape Challenge D is to solve the puzzle, “The Hidden Polygon.” In this puzzle, you are given a series of shapes, one of which is hidden from your view. The trick to identifying the hidden shape is to superimpose them on top of one another and use a straightedge to find the edges of the polygon. By doing this, you can find that the hidden polygon has six sides and is a hexagon.

The fifth puzzle in Geometry Escape Challenge D is called “Maze Runner.” In this puzzle, you must escape the maze by determining which way to turn in a series of triangular rooms. You can solve this puzzle by looking in each triangular room and determining the angle at the corner opposite to the route which is yet to be taken, with help of which you can find the correct direction to escape.

### Conclusion:

And with that, you have successfully completed Geometry Escape Challenge D! We hope this guide has helped you in solving the puzzles. Geometry can be tough, but with perseverance and knowledge of the basic principles and formulas, you can conquer it. Once again, we congratulate you on your success and we encourage you to keep challenging yourself and never stop exploring the world of math!

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