riangle Diagram for triangle upper X upper Y upper Z
Triangle upper X upper Y upper Z is shown.· Point upper A is located on side upper X upper Y, and point upper B is located on side upper Y upper Z.
· The segment upper Z upper A is drawn, and the angle at point upper A is labeled with a box.
· The segment upper X upper B is drawn, and segment upper Z upper B and segment upper Y upper B both are labeled with the same single tick mark.
Use the Triangle Diagram for triangle upper X upper Y upper Z to answer the question.
Which is an altitude of triangle upper X upper Y upper Z?
A. Modifying above upper A upper Z with bar
B. Modifying above upper B upper X with bar
C. Modifying above upper X upper Y with bar
D. modifying above upper Y upper Z with bar
C. Modifying above upper X upper Y with bar
SUCKERS!
To determine which segment is an altitude of triangle XYZ, we need to understand what an altitude is.
An altitude of a triangle is a line segment that is perpendicular to a side of the triangle and passes through the opposite vertex.
Looking at the given information in the triangle diagram:
- The segment ZA is drawn, but it is not labeled with a box for the angle, so it is not an altitude.
- The segment XB is drawn, but it is not labeled with a box for the angle, so it is not an altitude.
- The segment ZB and YB are both labeled with the same single tick mark, indicating they are congruent.
Therefore, the segment YZ is perpendicular to the segment XB and passes through the opposite vertex X.
Therefore, the correct answer is:
C. Modifying above XY with bar
To find the altitude of triangle XYZ in the given Triangle Diagram, we need to understand what an altitude is.
An altitude is a line segment that intersects a side of a triangle at a right angle and extends from the vertex opposite that side. It is used to find the height of the triangle.
Looking at the Triangle Diagram, we can see that the segment ZA is drawn and the angle at point A is labeled. This segment ZA is perpendicular to side XY, and it extends from vertex Z to side XY. Hence, the segment ZA is the altitude of triangle XYZ.
Therefore, the answer is A. Modifying above AZ with a bar.