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Step 1 Using a straightedge, draw an angle. Label the vertex P. Step 2 Using a straightedge, draw a ray that does not appear to intersect ZP. Label the initial point R. Step 3 Place the needle of a compass on point P, and then draw an arc (part of a circle) that intersects both sides of ZP. Do not change the compass setting. Label the intersections of the arc and the sides of angle P as points K and L. Now you have ZLPK. Step 4 Keep the compass setting and place the needle of the compass on point R. Then, draw an arc (about the same length as the previous arc) through ray R. Label this intersection point M. Now you have RM . Step 5 Place the needle of the compass at point K and adjust its width to point L. Do not change the compass setting. Step 6 Keep the compass setting and place the needle of the compass on point M. Then, draw an arc that intersects the arc drawn in Step 4. Label the intersection point N. Step 7 Using a straightedge, draw a ray through R and N, now you have ZNRM. Step 8 Using a protractor, measure ZLPK and ZNRM. Write those measures on your construction. Verify the measure of each angle is the same. If ZLPK = ZNRM, then you completed this construction correctly.

Step 1 Using a straightedge, draw an angle. Label the vertex P. Step 2 Using a straightedge, draw a ray that does not appear to intersect ZP. Label the initial point R. Step 3 Place the needle of a compass on point P, and then draw an arc (part of a circle) that intersects both sides of ZP. Do not change the compass setting. Label the intersections of the arc and the sides of angle P as points K and L. Now you have ZLPK. Step 4 Keep the compass setting and place the needle of the compass on point R. Then, draw an arc (about the same length as the previous arc) through ray R. Label this intersection point M. Now you have RM . Step 5 Place the needle of the compass at point K and adjust its width to point L. Do not change the compass setting. Step 6 Keep the compass setting and place the needle of the compass on point M. Then, draw an arc that intersects the arc drawn in Step 4. Label the intersection point N. Step 7 Using a straightedge, draw a ray through R and N, now you have ZNRM. Step 8 Using a protractor, measure ZLPK and ZNRM. Write those measures on your construction. Verify the measure of each angle is the same. If ZLPK = ZNRM, then you completed this construction correctly.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Step 1 Using a straightedge, draw an angle. Label the vertex P. Step 2 DARD Using a straightedge, draw a ray that does not appear to intersect ZP. Label the initial point R. ES Step 3 PAR Place the needle of a compass on point P, and then draw an arc (part of a circle) that intersects both sides of ZP. Do not change the compass setting. Label the intersections of the arc and the sides of angle P as points K and L. Now you have ZLPK. Step 4 Keep the compass setting and place the needle of the compass on point R. Then, draw an arc (about the same length as the previous arc) through ray R. Label this intersection point M. Now you have RM. Step 5 Place the needle of the compass at point K and adjust its width to point L. Do not change the compass setting. Step 6 Keep the compass setting and place the needle of the compass on point M. Then, draw an arc that intersects the arc drawn in Step 4. Label the intersection point N. Step 7 Using a straightedge, draw a ray through R and N, now you have ZNRM. Step 8 Using a protractor, measure ZLPK and ZNRM. Write those measures on your construction. Verify the measure of each angle is the same. If ZLPK = ZNRM, then you completed this construction correctly.
Transcribed Image Text:Step 1 Using a straightedge, draw an angle. Label the vertex P. Step 2 DARD Using a straightedge, draw a ray that does not appear to intersect ZP. Label the initial point R. ES Step 3 PAR Place the needle of a compass on point P, and then draw an arc (part of a circle) that intersects both sides of ZP. Do not change the compass setting. Label the intersections of the arc and the sides of angle P as points K and L. Now you have ZLPK. Step 4 Keep the compass setting and place the needle of the compass on point R. Then, draw an arc (about the same length as the previous arc) through ray R. Label this intersection point M. Now you have RM. Step 5 Place the needle of the compass at point K and adjust its width to point L. Do not change the compass setting. Step 6 Keep the compass setting and place the needle of the compass on point M. Then, draw an arc that intersects the arc drawn in Step 4. Label the intersection point N. Step 7 Using a straightedge, draw a ray through R and N, now you have ZNRM. Step 8 Using a protractor, measure ZLPK and ZNRM. Write those measures on your construction. Verify the measure of each angle is the same. If ZLPK = ZNRM, then you completed this construction correctly.
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