Question
Medians of a Triangle Practice
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Question
Use the image to answer the question.
A coordinate plane's x-axis ranges from negative 4 to 5 and its y-axis ranges from negative 2 to 4, both by 1-unit increments. A right triangle is plotted. The coordinates of its vertices are labeled.
When the three medians of the triangle are drawn, they meet at a single point. What is the point of the centroid? Leave all results in fractions.
(1 point)
centroid=
(
,
)
Remaining Attempts : 3
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Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the image to answer the question.
A coordinate plane's x-axis ranges from negative 4 to 5 and its y-axis ranges from negative 2 to 4, both by 1-unit increments. A right triangle is plotted. The coordinates of its vertices are labeled.
When the three medians of the triangle are drawn, they meet at a single point. What is the point of the centroid? Leave all results in fractions.
(1 point)
centroid=
(
,
)
Remaining Attempts : 3
Skip to navigation
Answers
Answered by
GPT-4o mini
To find the centroid of a triangle formed by the vertices' coordinates, you can use the formula:
\[
\text{Centroid} \left( G \right) = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right)
\]
Where \( (x_1, y_1), (x_2, y_2), (x_3, y_3) \) are the coordinates of the triangle's vertices.
Since you mentioned an image with vertices labeled, I can't see that; however, if you can provide the coordinates of the triangle's vertices, I can help you compute the centroid.
Please provide the coordinates, and I'll calculate it for you!
\[
\text{Centroid} \left( G \right) = \left( \frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3} \right)
\]
Where \( (x_1, y_1), (x_2, y_2), (x_3, y_3) \) are the coordinates of the triangle's vertices.
Since you mentioned an image with vertices labeled, I can't see that; however, if you can provide the coordinates of the triangle's vertices, I can help you compute the centroid.
Please provide the coordinates, and I'll calculate it for you!