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Classify the Bolded Triangle Segment as Altitude, Median, Angle Bisector, or Perpendicular Bisector
Mathematics
Grade 10 (High School)
Question Content
Given the diagram, classify the bolded line as a perpendicular bisector, angle bisector, median, or altitude. Write your answer on the line.
Correct Answer
Altitude
Detailed Solution Steps
1
Step 1: Recall the definitions of the triangle segments: An altitude is a segment from a vertex perpendicular to the opposite side (forming a right angle).
2
Step 2: Observe the diagram: The bolded line connects a vertex to the opposite side and forms a right angle (90°) with that side.
3
Step 3: Match to the definition: This fits the definition of an altitude.
Knowledge Points Involved
1
Altitude of a Triangle
An altitude is a perpendicular segment from a vertex of a triangle to the opposite side (or its extension). It forms a right angle with the side it intersects, and it represents the height of the triangle relative to that base.
2
Triangle Segment Definitions
Key segments in a triangle include medians (connect vertex to midpoint of opposite side), angle bisectors (split an angle into two equal parts), perpendicular bisectors (perpendicular to a side and pass through its midpoint), and altitudes (perpendicular to a side from a vertex).
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