Triangle Properties and Line Segments

What is a line segment drawn from a vertex of a triangle perpendicular to the opposite side?

• Median

• Altitude

• Angle bisector

• Perpendicular bisector

Which term describes a line segment drawn from a vertex of a triangle to the midpoint of the opposite side?

• Altitude

• Angle bisector

• Median

• Perpendicular bisector

A line segment or ray drawn from a vertex of a triangle that cuts the angle in half is called what?

• Median

• Altitude

• Angle bisector

• Perpendicular bisector

What is a line drawn perpendicular to a side of a triangle through its midpoint?

• Altitude

• Median

• Angle bisector

• Perpendicular bisector of a side

To prove that a line segment is a median of an equilateral triangle, what must be shown about the line segment?

• It cuts the angle in half.

• It is perpendicular to the opposite side.

• It connects a vertex to the midpoint of the opposite side.

• It forms a right angle with the opposite side.

If a line segment is claimed to be an angle bisector of an equilateral triangle, what must be demonstrated?

• It divides the opposite side into two equal parts.

• It forms a 90-degree angle with the opposite side.

• It divides the angle at the vertex into two equal angles.

• It is the height of the triangle.

To support the claim that a line segment is an altitude of an equilateral triangle, what property must be shown?

• It connects a vertex to the midpoint of the opposite side.

• It is perpendicular to the opposite side.

• It divides the angle at the vertex into two equal angles.

• It is a line of reflection.

What two conditions must be met to prove that a line segment is a perpendicular bisector of a side of an equilateral triangle?

• It connects a vertex to the midpoint of the opposite side and cuts the angle in half.

• It is perpendicular to the opposite side and connects a vertex to the midpoint.

• It is perpendicular to the opposite side and passes through its midpoint.

• It is a line of reflection and divides the angle in half.

If triangle ABC is an equilateral triangle, which statement must be true?

• All angles are 60 degrees

• All sides are congruent

• It has exactly two congruent sides

• It has at least one right angle

If line segment CE is a line of reflection for triangle ABC, what can be concluded about point D on line segment AB?

• D is the vertex of an angle

• D is the midpoint of line segment AB

• D is outside the triangle

• D is the intersection of two altitudes