Answer:
AB and AC are congruent
Step-by-step explanation:
To show that the triangle is isosceles, we need to show that two of the sides of the triangle are equal.
Get AB
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
A(0,1), B(3,3)
AB = √(3-0)²+(3-1)²
AB = √3²+2²
AB = √9+4
AB = √13
Get BC
B(3,3), and C(3,-1)
BC = √(3-3)²+(-1-3)²
BC = √0²+-4²
BC= √0+16
BC = √16
BC = 4
Get AC
A(0,1), and C(3,-1)
AC = √(3-0)²+(-1-1)²
AC = √3²+(-2)²
AC = √9+4
AC= √13
Since AB = AC, this shows that the triangle ABC is an isosceles triangle.
The two sides that are congruent are AB and AC
