the point where the angle bisectors of a triangle intersect is called the

the point where the perpendicular bisectors of a triangle intersect is called the

the incenter is equidistant from all of the triangle.

the circumcenter is equidistant from all of the triangle.

the circle that passes through all the vertices of a triangle is called the

the circle that is tangent to all sides of a triangle is called the

the perpendicular bisectors of a triangle are used to find the

the angle bisectors of a triangle are used to find the

in a right triangle, the circumcenter is located at the of the hypotenuse.

the incenter is always located the triangle.

the circumcenter of an obtuse triangle is located the triangle.

the incenter is the center of the of a triangle.

the circumcenter is the center of the of a triangle.

the is the point where the medians of a triangle intersect.

the is the point where the altitudes of a triangle intersect

Question

the point where the angle bisectors of a triangle intersect is called the

the point where the perpendicular bisectors of a triangle intersect is called the

the incenter is equidistant from all of the triangle.

the circumcenter is equidistant from all of the triangle.

the circle that passes through all the vertices of a triangle is called the

the circle that is tangent to all sides of a triangle is called the

the perpendicular bisectors of a triangle are used to find the

the angle bisectors of a triangle are used to find the

in a right triangle, the circumcenter is located at the of the hypotenuse.

the incenter is always located the triangle.

the circumcenter of an obtuse triangle is located the triangle.

the incenter is the center of the of a triangle.

the circumcenter is the center of the of a triangle.

the is the point where the medians of a triangle intersect.

the is the point where the altitudes of a triangle intersect

Accepted Answer

### 1. The point where the angle bisectors of a triangle intersect is called the
# Brief Explanations:
In triangle geometry, the intersection of angle bisectors is defined as the incenter, which is equidistant from all sides and the center of the incircle.
# Answer:
incenter

### 2. The point where the perpendicular bisectors of a triangle intersect is called the
# Brief Explanations:
Perpendicular bisectors of a triangle meet at the circumcenter, the center of the circumcircle passing through all vertices.
# Answer:
circumcenter

### 3. The incenter is equidistant from all ______ of the triangle.
# Brief Explanations:
The incenter’s property is being equidistant from all sides (since it is the center of the incircle tangent to all sides).
# Answer:
sides

### 4. The circumcenter is equidistant from all ______ of the triangle.
# Brief Explanations:
The circumcenter is equidistant from all vertices, as it is the center of the circumcircle passing through each vertex.
# Answer:
vertices

### 5. The circle that passes through all the vertices of a triangle is called the
# Brief Explanations:
A circle passing through all triangle vertices is the circumcircle, centered at the circumcenter.
# Answer:
circumcircle

### 6. The circle that is tangent to all sides of a triangle is called the
# Brief Explanations:
A circle tangent to all three sides of a triangle is the incircle, centered at the incenter.
# Answer:
incircle

### 7. The perpendicular bisectors of a triangle are used to find the
# Brief Explanations:
Perpendicular bisectors intersect at the circumcenter, so they are used to locate this point (and the circumcircle’s center).
# Answer:
circumcenter

### 8. The angle bisectors of a triangle are used to find the
# Brief Explanations:
Angle bisectors intersect at the incenter, so they are used to locate this point (and the incircle’s center).
# Answer:
incenter

### 9. In a right triangle, the circumcenter is located at the ______ of the hypotenuse.
# Brief Explanations:
In a right triangle, the hypotenuse’s midpoint is the circumcenter because the circumcircle has the hypotenuse as its diameter.
# Answer:
midpoint

### 10. The incenter is always located ______ the triangle.
# Brief Explanations:
The incenter, being the center of the incircle tangent to all sides, always lies inside the triangle (regardless of triangle type).
# Answer:
inside

### 11. The circumcenter of an obtuse triangle is located ______ the triangle.
# Brief Explanations:
For an obtuse triangle, the circumcenter lies outside the triangle (since the circumcircle’s center is outside when the triangle is obtuse).
# Answer:
outside

### 12. The incenter is the center of the ______ of a triangle.
# Brief Explanations:
The incenter is the center of the incircle, which is tangent to all three sides of the triangle.
# Answer:
incircle

### 13. The circumcenter is the center of the ______ of a triangle.
# Brief Explanations:
The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.
# Answer:
circumcircle

### 14. The ______ is the point where the medians of a triangle intersect.
# Brief Explanations:
Medians (lines from vertices to midpoints of opposite sides) intersect at the centroid, the triangle’s center of mass.
# Answer:
centroid

### 15. The ______ is the point where the altitudes of a triangle intersect.
# Brief Explanations:
Altitudes (perpendicular segments from vertices to opposite sides) intersect at the orthocenter.
# Answer:
orthocenter

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QUESTION IMAGE

Question

Explanation:

1. The point where the angle bisectors of a triangle intersect is called the

Answer:

2. The point where the perpendicular bisectors of a triangle intersect is called the