1.
A pentagon is a 6 sided figure.
Correct Answer
B. False
Explanation
A pentagon is a 5-sided figure, not a 6-sided figure. A pentagon is a polygon with five straight sides and five angles. The term "penta" means five in Greek, which is why a pentagon has five sides. Therefore, the statement that a pentagon is a 6-sided figure is incorrect.
2.
An octagon is an 8 sided figure.
Correct Answer
A. True
Explanation
An octagon is a polygon with eight sides. It is a well-known geometric shape that is often used in architecture and design. The term "octa" means eight, so an octagon is defined as having eight sides. This makes the statement "An octagon is an 8 sided figure" true.
3.
If a baby octagon is being raised by his/her grandparents, what figure is the grandfather?
Correct Answer
A. Hexagon
Explanation
Since a baby octagon is being raised by his/her grandparents, the figure representing the grandfather must have the same number of sides as the baby octagon. An octagon has 8 sides, so the grandfather figure must also have 8 sides. The only option with 8 sides is a hexagon, so the correct answer is hexagon.
4.
A point has 1 dimension.
Correct Answer
B. False
Explanation
A point does not have any dimensions. It is considered to be a zero-dimensional object. A point is defined as a specific location in space, without any length, width, or height. Therefore, the statement that a point has 1 dimension is incorrect.
5.
A line has 3 dimensions: length, width and height.
Correct Answer
B. False
Explanation
A line actually has only one dimension, which is length. It does not have width or height. Therefore, the statement that a line has 3 dimensions is false.
6.
A square has 2 dimensions.
Correct Answer
A. True
Explanation
A square is a two-dimensional geometric shape that has equal sides and four right angles. It is formed by combining two dimensions, length and width, which are both equal in the case of a square. Therefore, it is correct to say that a square has 2 dimensions.
7.
A cube has 2 dimensions.
Correct Answer
B. False
Explanation
A cube actually has 3 dimensions - length, width, and height. It is a three-dimensional shape with equal sides and angles.
8.
A circle is a 1 dimensional figure.
Correct Answer
B. False
Explanation
A circle is not a 1-dimensional figure because it is a closed curve in a plane, which means it has both length and width. A 1-dimensional figure would only have length and no width or depth. Therefore, the correct answer is False.
9.
A circle has a infinite number of sides.
Correct Answer
A. True
Explanation
A circle is a geometric shape that is defined as a set of points equidistant from a central point. It is formed by a continuous curve, which means that it has no straight sides or angles like polygons. Since a circle is a continuous curve, it can be considered to have an infinite number of sides, as there are an infinite number of points along its circumference. Therefore, the statement "A circle has an infinite number of sides" is true.
10.
The circles are in charge because they are the most evolved shape in Flatland. (Remember: Spheres do not live in Flatland.)
Correct Answer
A. True
Explanation
The explanation for the given correct answer is that circles are considered the most evolved shape in Flatland because they have the highest number of sides compared to other shapes. In Flatland, shapes with more sides are seen as more advanced and superior. Since spheres do not exist in Flatland, circles are considered the highest form of shape and therefore are in charge.
11.
An equilateral triangle is more evolved/advanced/better/"smarter" than an isocycles triangle.
Correct Answer
A. True
Explanation
An equilateral triangle is considered more evolved or advanced than an isosceles triangle because it has all three sides and angles equal, which demonstrates a higher level of symmetry and balance. This uniformity in an equilateral triangle suggests a higher level of sophistication and complexity compared to an isosceles triangle, which only has two sides and angles equal.
12.
A sphere has 3 dimensions.
Correct Answer
A. True
Explanation
A sphere is a three-dimensional object because it has length, width, and height. It is not a two-dimensional shape like a circle, which only has length and width. In three-dimensional space, a sphere can be defined by its center point and radius. Its surface is made up of all points that are equidistant from the center. Therefore, a sphere has three dimensions.
13.
Arthur Square does not want to speak about the 3rd dimension because the circles don't allow that kind of talk in Flatland.
Correct Answer
A. True
Explanation
The given explanation is that Arthur Square does not want to speak about the 3rd dimension because the circles don't allow that kind of talk in Flatland. This suggests that in the fictional world of Flatland, the circles have some kind of authority or control over what can be discussed or acknowledged. Therefore, it is true that Arthur Square does not want to speak about the 3rd dimension.
14.
Spherious brings Arthur Square upward, into the 3rd dimension, because Spherious dislikes 2 dimensional figures.
Correct Answer
B. False
Explanation
The statement suggests that Spherious brings Arthur Square upward into the 3rd dimension because Spherious dislikes 2-dimensional figures. However, this explanation does not make logical sense. The dislike of 2-dimensional figures does not necessarily mean that Spherious would bring Arthur Square into the 3rd dimension. Therefore, the correct answer is False.
15.
A triangle is a 3 sided figure.
Correct Answer
A. True
Explanation
A triangle is defined as a polygon with three sides. Therefore, it is a 3-sided figure.
16.
A cube has 4 sides.
Correct Answer
B. False
Explanation
A cube actually has 6 sides, not 4. Each side of a cube is a square, and there are 6 squares in total, making up the 6 sides of the cube. Therefore, the statement that a cube has 4 sides is incorrect.
17.
The point sings a song about himself because he is the only thing in his universe (his world has no dimension).
Correct Answer
A. True
Explanation
The point sings a song about himself because he is the only thing in his universe, his world has no dimension. This suggests that the point is the sole existence in its universe, and therefore it sings a song about itself. This explanation aligns with the given answer, True.
18.
The line cannot look up or down because he is 1 dimensional.
Correct Answer
A. True
Explanation
The statement is true because being one-dimensional means that the line only exists in a single dimension, such as a straight line on a piece of paper. In this case, there is no vertical or horizontal movement, so the line cannot look up or down. It is limited to existing in a single dimension.
19.
Arthur Square tries to help the line understand length and width by looking into the line with his 2 dimensional eye.
Correct Answer
A. True
Explanation
This statement suggests that Arthur Square is able to perceive and comprehend the concepts of length and width through his 2-dimensional eye. This implies that Arthur Square has a unique perspective and understanding of geometric properties, which allows him to assist others in understanding these concepts. Therefore, the statement is true.
20.
Arthur Square's eye does not have length.
Correct Answer
B. False
Explanation
The statement implies that Arthur Square's eye does not have a length, which is not true. Eyes, including Arthur Square's, do have a length. Therefore, the correct answer is False.
21.
Little Hex runs away from home to search for the 3rd dimension because she's looking for her 2 dimensional cat.
Correct Answer
B. False
Explanation
The statement suggests that Little Hex runs away from home to search for the 3rd dimension because she's looking for her 2-dimensional cat. However, this is not a valid explanation for the correct answer. The correct answer is "False" because it contradicts the statement and implies that Little Hex is not looking for her 2-dimensional cat by searching for the 3rd dimension.
22.
The circles don't want the other shapes in Flatland to learn about the 3rd dimesion.
Correct Answer
A. True
Explanation
The circles in Flatland don't want the other shapes to learn about the 3rd dimension because they want to maintain their dominance and control over the shape society. By keeping the knowledge of the 3rd dimension hidden, the circles can continue to exert their power and prevent the other shapes from realizing their true potential. This allows the circles to maintain their privileged position and ensure that they remain the rulers of Flatland.
23.
The circles are happy when the square members of Flatland go to work in their squaricals.
Correct Answer
A. True
Explanation
The statement suggests that the circles in Flatland are happy when the square members of Flatland go to work in their squaricals. This implies that the circles have a positive association with the square members and their work. Therefore, the statement is true.
24.
When Hex leaves home on her scooter, she discovers a sphere at the center of area 33H.
Correct Answer
B. False
Explanation
The statement is false because the question mentions that Hex discovers a sphere at the center of area 33H when she leaves home on her scooter. However, it does not provide any information about the sphere's existence or its relationship to Hex's scooter ride. Therefore, we cannot conclude that the statement is true.
25.
Hex's parents were targeted for disposal/removal from Flatland because they presented their ideas about the 3rd dimension to the circles.
Correct Answer
A. True
Explanation
Hex's parents were targeted for disposal/removal from Flatland because they presented their ideas about the 3rd dimension to the circles. This suggests that their ideas were considered dangerous or unacceptable by the circles, who held power in Flatland. As a result, Hex's parents faced consequences for challenging the established beliefs and norms of their society.