Step 3: Place the compass pointer at point P and draw arcs above and below the line. Step 2: Adjust the compass with a length of a little more than half of the length of PQ. Label the intersection of the two perpendicular bisectors as point O. The steps for the construction of a perpendicular bisector of a line segment are: Step 1: Draw a line segment PQ. Construct perpendicular bisectors of AB and BC. Locate three points A, B, and C on the circle. AX is the bisector of CAB.Ĭonstruction and Vocabulary Activity 1. With the same compass setting, draw an arc using point B. Step 2: Put the compass point on point C and draw an arc. Label the points of intersection B and C. Draw an arc that intersects the sides of A. XY AB at the midpoint of AB, so XY is the Perpendicular bisector of AB.Ĭonstruct Angle Bisector Construct the bisector of an angle Given: A Construct: AX, the bisector of A Step 1: Put the compass of vertex A. The point of intersection of AB and XY is M, the midpoint of AB. Labe the points where the two arcs intersect as X and Y. Step 2: With the same compass setting, put the compass point on point B and draw another long arc. Be sure the opening is greater than ½ AB. Given: AB Construct: XY so that XY AB at the midpoint M of AB A B Step 1: Put the compass of point A and draw a long arc as shown. Step 5: Draw ST.Ĭonstruct Perpendicular Bisector Construct the perpendicular bisector of a segment. Keeping the same compass setting, put the compass point on R. Draw an arc and label its point of intersection with the ray as R. Step 3: With the same compass setting, put the compass point on point S. A bisector divides a line segment or angle into two congruent parts. A ray is a part of a line that has one endpoint and continues indefinitely in one direction. S Step 2: With the compass point on point A, draw an arc that intersects the sides of A. A perpendicular bisector of a line segment passes through the midpoint of the line segment and intersects the line segment at. Given: A Construct: S so that S A A Step 1: Draw a ray with endpoint S. CD ABĬonstruct Congruent Angles using Straight Edge and Compass Construct an angle congruent to a given angle. Given: AB Construct: CD so that CD AB A B Step 1: Draw a ray with endpoint C C Step 2: Open a compass to the length AB Step 3: With the same compass setting, put the compass point on point C. Angle BisectorsĬonstruct Congruent Segments with Straight Edge and Compass Construct a segment congruent to a given segment. Tools used for Geometric Constructions Straight Edge Compass Ruler with no markings Tool used to draw circles or arcs Next, you will learn to construct: 1.
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