Question

1. choose the correct answer.

which triangle involves angle bisectors?

Explanation:

• In option B, the marks on the angles indicate that the lines are angle bisectors (dividing the angles into two equal parts).
• In option A, the lines are medians (since \(AP = \frac{2}{3}AZ\) etc., which is the property of the centroid where the medians intersect and the centroid divides each median in a \(2:1\) ratio).
• In option C, the lines are altitudes (as they are perpendicular to the sides).
• In option D, the lines are perpendicular bisectors (since \(AP = BP=CP\), the point \(P\) is the circum - center which is equidistant from the vertices and is the intersection of perpendicular bisectors).

Answer:

B.