Subjects geometry

Segment Ik Altitude 936267

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1. The problem states that \(\angle HKI\) is a right angle, meaning it measures 90 degrees. 2. We are asked to identify which term describes the segment \(IK\) in the triangle with vertices \(H, I, J\) and point \(K\) on segment \(HJ\). 3. Let's review the definitions: - A **perpendicular bisector** is a line or segment that is perpendicular to a segment and divides it into two equal parts. - An **altitude** of a triangle is a segment from a vertex perpendicular to the opposite side (or its extension). - An **angle bisector** is a segment that divides an angle into two equal angles. 4. Since \(\angle HKI\) is a right angle, segment \(IK\) is perpendicular to segment \(HK\). 5. Point \(K\) lies on segment \(HJ\), so \(IK\) is drawn from vertex \(I\) perpendicular to side \(HJ\). 6. This matches the definition of an **altitude**: a segment from a vertex perpendicular to the opposite side. 7. Therefore, \(IK\) is an altitude of the triangle. Final answer: \(IK\) is an altitude.