___________________________ ____________________________________ Your Fifth Challenge: Can you bisect an angle? 1. Let point be the vertex of the angle. Place the P compass on point and draw an arc across both sides P of the angle. Label the intersection points and Q R. 2. Place the compass on point and draw an arc across Q the interior of the angle. 3. Without changing the radius of the compass, it on point and draw an arc intersecting the one drawn in R the previous step. Label the intersection point W. 4. Using the straightedge, draw ray This is the PW. bisector of QPR. Construct the angle bisector. Mark congruent angles. Check your construction by measuring with a protractor. 1. 2. Constructing Parallel and Perpendicular Lines Mathematical Goals Make formal geometric constructions with a variety of tools and methods. Use congruent triangles to justify geometric constructions. STANDARDS ADDRESSED IN THIS TASK Make formal geometric constructions with a variety of tools and methods MCC9-12.G.CO.12 (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software,
___________________________ ____________________________________ Your Fifth Challenge: Can you bisect an angle? 1. Let point P be the vertex of the angle. Place the compass on point P and draw an arc across both sides of the angle. Label the intersection points Q and R. 2. Place the compass on point Q and draw an arc across the interior of the angle. 3. Without changing the radius of the compass, it on point R and draw an arc intersecting the one drawn in the previous step. Label the intersection point W. 4. Using the straightedge, draw ray PW. This is the bisector of QPR. Construct the angle bisector. Mark congruent angles. Check your construction by measuring with a protractor. 1. 2. Constructing Parallel and Perpendicular Lines Mathematical Goals Make formal geometric constructions with a variety of tools and methods. Use congruent triangles to justify geometric constructions. STANDARDS ADDRESSED IN THIS TASK MCC9-12.G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software,
CCGPSMath9-12AnalyticGeoUnit1SE.docx