1. Use only the compass and straight edge(ruler) tools to construct the geometric object from the following instructions: 1. A segment MN, a point O not on M N. 2. The ray M0. 3. The circle c1 with center M and radius MO. The intersection point P of MN and C1. 4. The circle c2 with center O and radius MO. The intersection point Q of MO and c2. 5. A circle c3 with center Q and radius OP. The intersection point R of circles c2 and C3. 6. Ray OR.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.CT: Test
Problem 16CT
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1. Use only the compass and straight edge(ruler)
tools to construct the geometric object from the
following instructions:
1. A segment MN, a point O not on MN.
2. The ray MO.
3. The circle c1 with center M and radius
MO. The intersection point P of MN and
C1 .
4. The circle c2 with center O and radius MO.
The intersection point Q of MO and c2.
5. A circle c3 with center Q and radius OP.
The intersection point R of circles c2 and c3.
6. Ray OR.
2. Prove that MN is parallel to OR. State reasons
for each steps clearly.
Transcribed Image Text:1. Use only the compass and straight edge(ruler) tools to construct the geometric object from the following instructions: 1. A segment MN, a point O not on MN. 2. The ray MO. 3. The circle c1 with center M and radius MO. The intersection point P of MN and C1 . 4. The circle c2 with center O and radius MO. The intersection point Q of MO and c2. 5. A circle c3 with center Q and radius OP. The intersection point R of circles c2 and c3. 6. Ray OR. 2. Prove that MN is parallel to OR. State reasons for each steps clearly.
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