Page 3 Construcf an angle congruent to a given angle Given: AA ConsTrucT an angle congruenT To 1A. _ 3. Draw a ray. Label The endpoinT D. 4. Place The compass Tip aT The verTex of 1A. Draw an arc across boTh sides of The given angle. Label The poinTs of inTersecTion wiTh The rays 3 and C. . Using This 5mg compass seTTing, place The compass Tip aT poinT D (The. new ray) and draw a long arc across The ray. Label The inTersecTion painT E. . SeT The compass so ThaT iT is The wid'rh of BC. . Using This same compass seTTing, place The compass Tip aT poinT E and draw an arc, intersecTing The are from sTep 3. Label The inTersecTion F. . Draw'. ZEDFEZBAC' A ConsTrucT an angle congruenT To 21A. Your consTrucTian here: I: D P Page 4 3. . . A 6. 5. A APage 5 Perpendicular EI'SECTOI' I Given: E Construct the perpendicular bisector of AB. 1. Choose a compass opening greater than 1/2 of 22 and less than the length of AB. Place compass tip at A. Draw two arcs - above and below 148. 2. Using the some compass opening, place compass tip at point B. Draw two arcs - above and below AB . 3. Draw the line connecting the intersections of the two arcs. This is the perpendicular bisector of E. (Can also be used to find the midpoint of AB.) Construct the perpendicular bisector of each of the following line segments. 1. 2. C Page 6 PRACTICE Construct the segment or angle that is congruent to the given segment or angle. 1. 2. 3 4.Page 7 Angle Bisecfor Given: AA. Construct the angle bisector of AA. 1. Place the compass tip at point A. Draw an arc that intersects both rays of the angle. Label the points of intersection B and C. 2. Place the compass tip at point B and draw an arc in the interior of 4A. 3. Using this gem compass setting, place the compass tip at point C and draw an arc that intersects the arc you drew in #2. Label the point of interSection Q. I 6. Use a straightedge to draw AQ. * This is the angle bisectar of AA. 7. 43,451) ; AQAC' Construct the angle biSectors for each of the following angles. 1. 2