Question

1. choose the correct answer.

which triangle illustrates an orthocenter?

Explanation:

• The orthocenter of a triangle is the point where the three altitudes of the triangle intersect.
• In option C, the lines \( BY\), \( AZ\), and \( CX\) are altitudes (perpendicular from a vertex to the opposite side). Their intersection point \( P\) is the orthocenter.
• In option A, the lines are medians (connecting a vertex to the mid - point of the opposite side), and their intersection is the centroid.
• In option B, the lines are angle bisectors, and their intersection is the in - center.
• In option D, the lines are perpendicular bisectors (bisecting the sides and being perpendicular to them), and their intersection is the circum - center.

Answer:

C.