2.8 Geometric Properties

A triangle has these vertices: A (3,3), B (-1,2), C (0,-2). What type of triangle is this?

• Equilateral

• Isoscles

• Scalene

• A and B

• B and C

A triangle has these vertices: A (-1,3), B (-2,-2), C(2,0). What type of triangle is this?

• Equilateral

• Isosceles

• Scalene

• A and C

• B and C

A triangle has these vertices: A (3,4), B (-2,0), C (5,0). What is the area of the triangle?

• 20 square units

• 5 square units

• 37 square units

• 56 square units

• 14 square units

A triangle has these vertices: A (-1,4), B (-1,-2), C (5,1). What is the area of the triangle?

• 18 square units

• 20 square units

• 27 square units

• 35 square units

• 41 square units

A triangle has these vertices: D (-12,6), E (4,0), F (-8,-6). Determine the centroid of this triangle.

• $\left(\frac{16}{3},\frac{16}{3}\right)$

• $\left(0,\frac{16}{3}\right)$

• $\left(0,-\frac{16}{3}\right)$

• $\left(-\frac{16}{3},0\right)$

• $\left(\frac{16}{3},0\right)$

James, Sarah, and Fred are spread out, playing catch at a park. James is at (2,2), Sarah is at (10,6), and Fred is at (4,8). If their dog, Shamus, is equal distance from all of them in the center, what point represents Shamus' location?

• (7.0,5.3)

• (1.8,7.0)

• (5.3,5.3)

• (-6.2,4.2)

• (5.3,4.2)