Knowee
Questions
Features
Study Tools

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
🧐 Not the exact question you are looking for?Go ask a question

Solution

To determine what term describes line segment XZ XZ in the diagram with points W,X,Y,Z W, X, Y, Z , we can analyze the definition of each option provided:

  1. Altitude: A line segment from a vertex of a triangle perpendicular to the opposite side.
  2. Angle bisector: A line that divides an angle into two equal angles.
  3. Perpendicular bisector: A line that is perpendicular to a segment at its midpoint.
  4. Median: A line segment from a vertex to the midpoint of the opposite side.

Analysis:

  • If XZ XZ is drawn from vertex X X to side WZ WZ and is perpendicular to WZ WZ , then XZ XZ is an altitude.
  • If point Z Z is the midpoint of side WY WY , then XZ XZ is a median.
  • If XZ XZ divides an angle at vertex X X evenly, then it is an angle bisector.
  • If XZ XZ meets side WY WY at its midpoint, forming a 90 90^\circ 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 XZ XZ is contingent upon the properties showcased in the diagram.

If the segment XZ XZ is drawn perpendicular to side WZ WZ and is from vertex X X , it would most likely be described as an altitude.

Final Answer:

Altitude (if XZ XZ is perpendicular to the opposite side WZ WZ ).

This problem has been solved

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’.

4. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.