The key is the rectangle region on the basketball court from the free throw line to the backboard. The backboard is 4 feet from the baseline. Is the key similar to the basketball court? Explain. Is the inner circle similar to the entire circle in the center of the court? Explain?
you need to provide some dimensions of the court.
All circles are similar to all other circles.
The court is 94ft long and 50ft wide. The rectangular key is 19ft by 12ft. The circle is located at the free throw line which has a diameter of 12ft.
I provided the missing information but you have not responded. :=(
To determine if the key is similar to the basketball court, we need to understand the concept of similarity in geometric figures. Similarity means that the shapes have the same shape but possibly different sizes.
The key on the basketball court is a rectangle region from the free throw line to the backboard, which means it is a rectangular shape. The basketball court, on the other hand, is a larger rectangular shape with sidelines and baselines.
To check if the key is similar to the basketball court, we compare their corresponding sides. The key's length is the distance between the free throw line and the backboard, while the length of the basketball court is the distance between the baselines.
If these two lengths are proportional, meaning they have the same ratio, then the key is similar to the basketball court.
Now, let's consider the inner circle in the center of the court. This circle is smaller than the entire basketball court and has a radius equal to the distance from the center of the circle to the free throw line.
To determine if the inner circle is similar to the entire circle, we again compare their corresponding parts. In this case, we compare the radii. If the radius of the inner circle is proportional to the radius of the entire circle, then they are similar.
To summarize, to check if the key is similar to the basketball court, compare the length of the key to the length of the court. To check if the inner circle is similar to the entire circle, compare the radii of both circles.