Classifying Triangles in Coordinate Plane

Triangle Classifications in the Coordinate Plane

• Triangle A(0,0), B(4,10), C(8,0) is classified as isosceles.

  • Side lengths are AB = 10.8, AC = 8, and BC = 10.8, indicating two equal sides.

• Triangle D(-3,3), E(3,3), F(0,-3) is classified as isosceles.

  • Side lengths are DE = 6, EF = 6.7, and DF = 6.7, showing two sides are equal.

• Triangle A(-4,1), B(1,-6), C(7,5) is classified as scalene.

  • Side lengths are AB = 8.6, BC = 12.5, and AC = 11.7, with all sides having different lengths.

• Triangle A(-4,1), B(3,8), C(9,6) is classified as scalene.

  • Side lengths are AB = 9.9, BC = 6.3, and AC = 13.9, confirming no equal sides.

• Triangle A(2,8), B(5,4), C(1,1) is identified as a right triangle.

  • Slope of AB = -4/3, slope of BC = 3/4, and slope of AC = 7/1, demonstrating the presence of a right angle.

Test your knowledge on classifying triangles based on their coordinates in the coordinate plane. This quiz will challenge you to determine whether each triangle is isosceles, equilateral, or scalene. Use logic and geometry skills to analyze their side lengths.