1. GEOMETRY HELP Use the method learned for constructing congruent angles. Step 2: With the same compass setting, put the compass point on point N. Draw an arc. Step 4: Use a straightedge to draw line m through the point you located and point N. Step 1: With the compass point on point H, draw an arc that intersects the sides of H. Step 3: Put the compass point below point N where the arc intersects HN. Open the compass to the length where the arc intersects line. Keeping the same compass setting, put the compass point above point N where the arc intersects HN. Draw an arc to locate a point. Examine the diagram. Explain how to construct  1 congruent to  H. Constructing Parallel and Perpendicular Lines LESSON 3-8 Additional Examples Quick Check

2. GEOMETRY HELP Construct a quadrilateral with both pairs of sides parallel. Step 1: Draw point A and two rays with endpoints at A. Label point B on one ray and point C on the other ray. Step 2: Construct a ray parallel to AC through point B. Constructing Parallel and Perpendicular Lines LESSON 3-8 Additional Examples

3. GEOMETRY HELP (continued) Step 3: Construct a ray parallel to AC through point C. Step 4: Label point D where the ray parallel to AC intersects the ray parallel to AB. Quadrilateral ABDC has both pairs of opposite sides parallel. Constructing Parallel and Perpendicular Lines LESSON 3-8 Additional Examples Quick Check

4. GEOMETRY HELP In constructing a perpendicular to line at point P, why must you open the compass wider to make the second arc? With the compass tip on A and B, a smaller compass setting would make arcs that do not intersect at all. Once again, without another point, you could not draw a unique line. With the compass tip on A and B, the same compass setting would make arcs that intersect at point P on line. Without another point, you could not draw a unique line. Constructing Parallel and Perpendicular Lines LESSON 3-8 Additional Examples Quick Check

5. GEOMETRY HELP Point R is the same distance from point E as it is from point F because the arc was made with one compass opening. Point G is the same distance from point E as it is from point F because both arcs were made with the same compass opening. Examine the construction. At what special point does RG meet line ? This means that RG intersects line at the midpoint of EF, and RG is the perpendicular bisector of EF. Constructing Parallel and Perpendicular Lines LESSON 3-8 Additional Examples Quick Check