Lesson 1.7 – Basic Constructions “MapQuest really needs to start their directions on #5. Pretty sure I know how to get out of my neighborhood”

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Lesson 1.7 – Basic Constructions “MapQuest really needs to start their directions on #5. Pretty sure I know how to get out of my neighborhood”

Constructing Congruent Segments Step 1: Draw a ray with endpoint C. AB Step 2: Open the compass to the length of. Step 3: Put the compass point on C. Draw an arc that intersects the ray. Label the point of intersection D.

Constructing Congruent Angles Step 1: Draw a ray with endpoint S. A Step 2: With compass at point A, draw an arc that intersects the sides of. Label the points of intersection B and C. Step 3: With same compass setting, put the compass on point S. Draw an arc and label its point of intersection with the ray as R.

Constructing Congruent Angles Step 4: Open the compass to length BC. With same compass setting, put the compass point on R. Draw an arc to locate point T. A Step 5: Draw ST.

Constructing the Perpendicular Bisector Perpendicular Bisector: A line, segment, or ray that is perpendicular to the segment at its midpoint, bisecting the segment into two congruent segments. AB m

Constructing the Perpendicular Bisector Step 1: Put the compass point on point A and draw a long arc. Make sure the opening is greater than half of AB. Step 2: With the same compass setting, put the compass point on point B and draw another long arc. Label the points where the two arcs intersect as X and Y. AB Step 3: Draw XY. The point of intersection of AB and XY is M, the midpoint of AB.

Constructing the Angle Bisector Angle Bisector: A ray that divides an angle into two congruent coplanar angles. K J L N

Constructing the Angle Bisector A Step 2: Put the compass point on point C and draw an arc. With the same compass setting, draw an arc using point B. Label the point where the two arcs intersect as X. Step 1: Put the compass point on vertex A. Draw an arc that intersects the sides of. Label the points of intersection B and C. Step 3: Draw AX.