Question

Decide whether the two figures are similar. . Triangle A: (1,4), (3, 5), (4,2) Triangle B: (0, 5), (4,7), (6, 1)

Answer 1

Explanation:

triangle A sides

√((5 - 4)² + (3 - 1)²) = √5

√((5 - 2)² + (3 - 4)²) = √10

√((4 - 1)² + (2 - 4)²) = √13

triangle B sides

√((7 - 5)² + (4 - 0)²) = √20 = 2√5

√((7 - 1)² + (4 - 6)²) = √40 = 2√10

√((6 - 0)² + (1 - 5)²) = √52 = 2√13

As each leg of B is twice a leg of A, they are similar