Question

Which one doesn't belong? Select a shape and give a reason why you selected the shape. Are

there any other shapes that do not belong? Why or why not?

Answer 1

The question involves categorizing shapes based on properties such as their geometry and defining characteristics. Without specific examples of shapes, we use general criteria to determine which shape may not belong, such as geometric versus organic shapes, or shapes with round versus straight edges.

Step-by-step explanation:

The question seems to be about identifying and classifying shapes based on certain properties or criteria. In mathematics, particularly in geometry, shapes can be categorized based on their features such as the number of sides, angles, symmetry, size, and whether they are geometric (regular shapes with clear, defined boundaries) or organic (irregular, often found in nature). For example, all have a round shape (a) could refer to circles, ellipses, or spheres, which all have curves without any straight edges. A shape that cannot have a long shape (b) would likely refer to short, compact shapes opposed to oblong or elongated ones. Shapes that do not maintain any shape (c) could mean they are amorphous, such as certain organic forms without clear boundaries. The fourth option, vary in shape (d), indicates that the shapes change and are not consistent over time or in different contexts.

Without specific shapes to compare, it's challenging to identify which one doesn't belong. However, if all the shapes under consideration had to belong to one category like 'geometric' or 'organic,' then any shape not fitting that category would not belong. For instance, if all shapes provided are geometric except one organic shape, the organic shape would be the one that doesn't belong. Similarly, if all shapes had round edges and one had straight edges, the one with straight edges would not belong.

It is also important to recognize that depending on the criteria selected, there may be more than one shape that does not belong. Providing exact reasons for each choice ensures clarity in classification and helps in understanding the concepts of geometry more deeply.

Answer 2

Figure 2 (the shaded square)

Figure 3 (the tilted square)

Figure 4 (the pentagon)

Step-by-step explanation:

From the attached picture, we will observe the following:

Figure 1 is a plain rectangle lying on its base & it is not shaded

Figure 2 is a shaded square lying on its base

Figure 3 is a plain square tilted & lying on one of its edges

Figure 4 is a plain pentagon lying on its base

Hence:

Figure 2 does not belong because it is the only shaded shape in the picture, others are plain & umshaded

Figure 3 does not belong because it is the only shape which is tilted & lying on only one of its edges, others are lying on 2 edges

Figure 4 does not belong because it is the only 5-sided shape in the picture, others are 4-sided