| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 10 |
| What topic | Centroid. |
| Question types | Open-ended |
| Number of questions | 5 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Answer the following questions related to the concept of centroid. Each question is designed to test your understanding. Please write your answers clearly.
Define the term "centroid" in geometry. Explain its significance in a triangle.
Given the vertices of a triangle at points A(2, 3), B(4, 7), and C(6, 5), calculate the coordinates of the centroid. Show all your work.
What is the relationship between the centroid and the median of a triangle? Provide a brief explanation and a diagram to illustrate your answer.
Is the centroid always located inside the triangle? Explain your reasoning and provide an example of a triangle scenario to support your answer.
Consider a triangle with vertices at points D(0, 0), E(6, 0), and F(3, 6). What will be the x-coordinate of the centroid in this triangle? Show how you arrived at your answer.