Question

corresponding triangle center. median perpendicular bisector angle bisector altitude 3. triangle def is an obtuse triangle. for each triangle center, write whether the point would be inside, on, or outside the triangle. incenter - orthocenter - centroid - circumcenter - 5. sketch triangle ghi with orthocenter p. make sure to shown all congruency and angle markings.

Explanation:

Step1: Recall triangle - center properties

The in - center is the point of intersection of the angle bisectors of a triangle. For any triangle (acute, obtuse, or right), the in - center is always inside the triangle.

Step2: Recall orthocenter properties

The orthocenter is the point of intersection of the altitudes of a triangle. In an obtuse - angled triangle, the orthocenter lies outside the triangle because the altitudes from the acute - angled vertices extend outside the triangle.

Step3: Recall centroid properties

The centroid is the point of intersection of the medians of a triangle. For any triangle, the centroid is always inside the triangle.

Step4: Recall circum - center properties

The circum - center is the point of intersection of the perpendicular bisectors of the sides of a triangle. In an obtuse - angled triangle, the circum - center lies outside the triangle.

Answer:

Incenter - inside
Orthocenter - outside
Centroid - inside
Circumcenter - outside