Question

1. choose the correct answer.

which triangle involves altitudes?
c
b
a
d

Explanation:

To determine which triangle involves altitudes, we recall that an altitude of a triangle is a perpendicular segment from a vertex to the opposite side (or its extension). Let's analyze each option:

• Option A: The markings suggest medians (segments from vertices to midpoints of opposite sides) since it shows midpoints and segments dividing sides into two equal parts.
• Option B: The markings do not indicate perpendicularity (right angles) typical of altitudes.
• Option C: We can see right - angle symbols (indicating perpendicularity) on segments \(BY\), \(BZ\), and \(AX\). For example, \(BY\) is perpendicular to \(AC\) (or its related side), \(BZ\) is perpendicular to another side, and \(AX\) is perpendicular to \(BC\) (assuming the triangle structure). These perpendicular segments from vertices to opposite sides are altitudes.
• Option D: The markings suggest angle bisectors or something other than altitudes as there are no clear right - angle symbols indicating perpendicularity to opposite sides.

Answer:

C