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Problem 576

Construct a line perpendicular to a given line through a given point outside the line.

Expert verified

Draw the given line AB and the given point C. Using a compass, draw a circle with center C to intersect line AB at points D and E. Next, connect points D and E, and construct a perpendicular bisector FG of segment DE. Extend FG to intersect with point C, forming line CH, which is perpendicular to line AB and passes through point C.

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Chapter 30

To construct an angle whose measure is equal to the sum of the measures of two given angles.

Chapter 30

Construct an angle containing \(60^{\circ}\), whose vertex is a given point. (See figure).

Chapter 30

Divide any segment into three congruent segments.

Chapter 30

Construct the perpendicular bisector of a given segment. Bisect a given angle.

Chapter 30

Construct a line perpendicular to a given line through a given point on the given line.

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