Question

match the indicated part of each triangle to the term that best describes it. drag each figure to its corresponding term. ab ab point d point p median centroid altitude orthocenter

Explanation:

• Altitude: An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side. In the first triangle, \(AB\) is perpendicular to \(CD\), so \(AB\) is an altitude.
• Median: A median of a triangle is a segment from a vertex to the mid - point of the opposite side. In the second triangle, \(AB\) connects vertex \(A\) to the mid - point \(B\) of \(TZ\) (since \(TB = BZ\)), so \(AB\) is a median.
• Centroid: The centroid of a triangle is the point of intersection of the medians of the triangle. In the third triangle, point \(D\) is the intersection of the medians \(AL\), \(BM\), and \(CX\), so point \(D\) is the centroid.
• Orthocenter: The orthocenter of a triangle is the point of intersection of the altitudes of the triangle. In the fourth triangle, point \(P\) is the intersection of the altitudes (the perpendicular lines from the vertices), so point \(P\) is the orthocenter.

Answer:

• \(AB\) (first triangle) → altitude
• \(AB\) (second triangle) → median
• point \(D\) → centroid
• point \(P\) → orthocenter