Understanding Altitudes and Orthocenters in Triangles

What is the purpose of using Patty paper in the context of this lesson?

• To draw perfect circles

• To create a transparent overlay

• To help find altitudes in triangles

• To measure angles accurately

In an acute triangle, what is the orthocenter?

• The point where the medians meet

• The midpoint of the longest side

• The point where the altitudes intersect

• The center of the circumscribed circle

Why might finding altitudes in an obtuse triangle be challenging?

• The angles are too small

• The sides are too short to measure

• The vertex is not easily aligned with the fold

• The altitudes are always outside the triangle

What adjustment is necessary when finding altitudes in an obtuse triangle?

• Using a protractor for accuracy

• Folding the paper twice

• Extending the sides of the triangle

• Using a larger piece of paper

What is the orthocenter in a triangle?

• The point where the medians intersect

• The point where the altitudes meet

• The center of the inscribed circle

• The midpoint of the hypotenuse