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B. Constructing a parallel through a point (rhombus method) Given: PQ and point K

B. Constructing a parallel through a point (rhombus method) Given: PQ and point K

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter3: Triangles
Section3.5: Inequalities In A Triangle
Problem 23E
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B. Constructing a parallel through a point (rhombus method) Given: PQ and point K Steps: 1. Flace the compasses on point K and set its width to a little more than the distance to the PQ. The exact distance is not important. 2. Draw a wide arc from the right of K around so it crosses the PQat two points. Label the left point J. 3. Without adjusting the opening of the compass, move the compass to J and draw an arc across the PQ Label this point E. 4. Without adjusting the span of the compass, move the compass to E and draw an arc across the large arc to the right of K. Label this point S. 5. Draw a straight line through points K and S. 6. Done. The KS is parallel to the PQ.
Transcribed Image Text:B. Constructing a parallel through a point (rhombus method) Given: PQ and point K Steps: 1. Flace the compasses on point K and set its width to a little more than the distance to the PQ. The exact distance is not important. 2. Draw a wide arc from the right of K around so it crosses the PQat two points. Label the left point J. 3. Without adjusting the opening of the compass, move the compass to J and draw an arc across the PQ Label this point E. 4. Without adjusting the span of the compass, move the compass to E and draw an arc across the large arc to the right of K. Label this point S. 5. Draw a straight line through points K and S. 6. Done. The KS is parallel to the PQ.
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