Subjects geometry

Segment Ce 404B33

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1. The problem states that \(\angle CED\) is a right angle, meaning it measures 90 degrees. 2. We are asked to identify which term describes segment \(CE\) given this information. 3. Let's review the definitions: - An **altitude** in a triangle is a segment from a vertex perpendicular to the opposite side or its extension. - An **angle bisector** divides an angle into two equal angles. - A **perpendicular bisector** is a line or segment that is perpendicular to a segment and divides it into two equal parts. 4. Since \(\angle CED\) is a right angle, segment \(CE\) is perpendicular to segment \(ED\). 5. However, without information that \(CE\) bisects \(ED\) or that it bisects the angle, we cannot say it is an angle bisector or perpendicular bisector. 6. Given that \(CE\) is perpendicular to \(ED\) at vertex \(E\), and it is a side of the triangle, the best description is that \(CE\) is an **altitude** from vertex \(C\) to side \(ED\). Final answer: **altitude**