Question

which triangle shows the incenter at point a?

Explanation:

Step1: Recall in - center definition

The in - center of a triangle is the point of intersection of the angle bisectors of the triangle.

Step2: Examine each option

In the second triangle, the lines dividing the angles of the triangle meet at point A, indicating that these lines are angle bisectors and A is the in - center. In the first triangle, the lines seem to be related to side - length equalities (mid - points and perpendicular bisectors). In the third triangle, the lines are altitudes (perpendicular from vertices to opposite sides). In the fourth triangle, the lines are a mix of side - related and angle - related lines but not all angle bisectors.

Answer:

The second triangle.