Exploring Triangle Centers and Properties

What is the orthocentre of a triangle?

• The point where the medians of a triangle meet

• The point where the altitudes of a triangle meet

• The point where the angle bisectors of a triangle meet

• The point where the perpendicular bisectors of a triangle meet

Which of the following best defines the centroid of a triangle?

• The point where the altitudes meet

• The point where the medians meet

• The point where the perpendicular bisectors meet

• The point where the angle bisectors meet

What is a median of a triangle?

• A line segment joining a vertex to the midpoint of the opposite side

• A line segment perpendicular to a side from a vertex

• A line segment bisecting an angle

• A line segment joining two midpoints of sides

Which of the following is an altitude in a triangle?

• A line from a vertex to the midpoint of the opposite side

• A line from a vertex perpendicular to the opposite side

• A line joining the midpoints of two sides

• A line bisecting an angle

Which property is true about the centroid of a triangle?

• It is always outside the triangle

• It is the intersection of the altitudes

In a triangle, which point is always located inside the triangle?

• Orthocentre

• Centroid

• Circumcentre

• None of the above

Which of the following is a real-life application of the centroid?

• Finding the center of gravity of a triangular object

• Locating the highest point of a building

• Determining the shortest path between two points

• Calculating the area of a circle

Which of the following statements is true about the orthocentre?

• It is always inside the triangle

• It can be inside, outside, or on the triangle depending on the type of triangle

• It is always at the midpoint of a side

• It is always at the center of the circumscribed circle

Which of the following best describes an altitude in a triangle?

• It always passes through the centroid

• It is always equal in length to the median

• It is perpendicular to the side it meets

• It bisects the angle at the vertex

Which of the following is NOT a property of the centroid?

• It is the balance point of the triangle

• It is the intersection of the altitudes

• It is always inside the triangle