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IM Geo.1.6. Practice: Construction Techniques 4: Parallel and Perpendicular Lines

Which of the following constructions would help to construct a line passing through point that is perpendicular to the line ?

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Two distinct lines, and , are each perpendicular to the same line . Select all the true statements.

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This diagram is a straightedge and compass construction of the bisector of angle BAC.

Only angle is given. Explain the steps of the construction in order. Include a step for each new circle, line, and point.

This diagram is a straightedge and compass construction of a line perpendicular to line AV passing through point C.

Which segment has the same length as segment ?

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This diagram is a straightedge and compass construction. Which triangle is equilateral? Explain how you know.

In the construction, A is the center of one circle, and B is the center of the other. Name the segments in the diagram that have the same length as segment AB.

This diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.

 Name a pair of perpendicular line segments.

Name a pair of line segments with the same length.

, , and are the centers of the 3 circles. Select all the segments that are congruent to .

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