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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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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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