Question

The vertices of ΔABC are A(1,–2), B(1,1), and C(5,–2). Which could be the side lengths of a triangle that is similar but not congruent to ΔABC? 3, 4, and 5 units 9, 12, and 15 units 6, 4, and 5 units 9, 12, and 5 units

Answer 1

b

Explanation:

got it right on edge

Answer 2

ΔABC are A(1,–2), B(1,1), and C(5,–2)
calculate the distances
AB=√(0²+3²)=3
BC=√(4²+3²)=5
AC=√(4²+0²)=4

The answer is 9, 12, and 15 units because this triangle has sides that are all 3 times the lenght of the triangle ΔABC------- > they have the sames angles