Question

question 25

any altitude of an isosceles triangle is also a median of the triangle.

true
false

question 26

it is possible for a segment to be an altitude, median, perpendicular bisector, and angle bisector all at the same time.

true
false

Explanation:

Analyze Question 25

Using the Isosceles Triangle Properties and Altitude of a Triangle knowledge points
An altitude drawn from the vertex angle of an isosceles triangle to the base is indeed a median. However, an altitude drawn from a base angle to one of the congruent legs is not a median unless the triangle is equilateral. Therefore, the statement "Any altitude of an isosceles triangle is also a median" is false.

Analyze Question 26

Using the Isosceles Triangle Properties knowledge point
In an isosceles triangle, the segment drawn from the vertex angle perpendicular to the base bisects both the base and the vertex angle. Thus, this single segment serves as an altitude, median, perpendicular bisector, and angle bisector simultaneously. Therefore, the statement is true.

Answer:

Question 25

• True
• False (Correct answer)

Question 26

• True (Correct answer)
• False