Question

1. choose the correct answer.

if there is no indication of congruent or equal segments, you are dealing with a(n)____
acute
orthocenter
right
obtuse

1. choose the correct answer.

the orthocenter will lie at the vertex of the right angle in a(n)____triangle.
right
acute
obtuse
circumcenter

Explanation:

• For question 9: The terms "acute", "right", and "obtuse" refer to types of triangles based on angles, while "orthocenter" is a point related to a triangle (the intersection of the altitudes). Since the question is about a general triangle - type (not a specific point), and without information about congruent segments (which would relate to isosceles or equilateral triangles), we consider triangle - angle - based types. But this is a bit of a mis - match as the question is not well - formulated. However, if we assume it's about a non - special (in terms of side - equality) triangle, but among the options, "orthocenter" is a point, not a triangle type.
• For question 10: In a right - triangle, the altitudes are the two legs and the altitude from the right - angled vertex to the hypotenuse. The orthocenter (the intersection of the altitudes) of a right - triangle is at the vertex of the right angle. In an acute triangle, the orthocenter is inside the triangle, and in an obtuse triangle, the orthocenter is outside the triangle. "Circumcenter" is the center of the circumscribed circle around the triangle.

Answer:

1. None of the options are completely correct as the question is not well - formulated. But if we assume it's a wrong - option - based question (since "orthocenter" is a point), we can say there is an error.
2. right