VideoLook at the diagram.WXYZWhich term describes XZ?altitudeangle bisectorperpendicular bisectormedian
Question
Look at the diagram.
WXYZ
Which term describes XZ?
- altitude
- angle bisector
- perpendicular bisector
- median
Solution
To determine what term describes line segment in the diagram with points , we can analyze the definition of each option provided:
- Altitude: A line segment from a vertex of a triangle perpendicular to the opposite side.
- Angle bisector: A line that divides an angle into two equal angles.
- Perpendicular bisector: A line that is perpendicular to a segment at its midpoint.
- Median: A line segment from a vertex to the midpoint of the opposite side.
Analysis:
- If is drawn from vertex to side and is perpendicular to , then is an altitude.
- If point is the midpoint of side , then is a median.
- If divides an angle at vertex evenly, then it is an angle bisector.
- If meets side at its midpoint, forming a angle with it, then it is a perpendicular bisector.
Conclusion:
To provide a precise answer, one would need to evaluate the diagram. However, based purely on the definitions, the term that describes is contingent upon the properties showcased in the diagram.
If the segment is drawn perpendicular to side and is from vertex , it would most likely be described as an altitude.
Final Answer:
Altitude (if is perpendicular to the opposite side ).
Similar Questions
VideoLook at the diagram.WXYZWhich term describes XZ?altitudeangle bisectorperpendicular bisectormedian
In the diagram below, if the red lines are perpendicular bisectors, the point at which they cross is called the ______.
Which term describes the point where the three angle bisectors of a triangle intersect?A.CircumcenterB.CentroidC.IncenterD.Orthocenter
2. Draw an acute-angled ∆PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.
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