Algebraic Expressions Question
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Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.1, HSA-SSE.A.1b
The centroid of a triangle is the intersection of the triangle's three medians. For triangle ABC, whose vertices are represented by (xA,yA),(xB,yB),(xC,yC), the location of its centroid can be expressed as (xA+xB+xC3,yA+yB+yC3). If vertex A of this triangle were moved 1 unit right and 1 unit up, how would this affect the location of the centroid?
- The centroid would move 1 unit up and 1 unit right.
- The centroid would move 1/3 of a unit up and 1/3 of a unit right.
- The centroid would move 3 units up and 3 units right.
- This cannot be determined without knowing the numerical coordinates of the three vertices.