1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students will learn how to use formulas to find midpoint and length of any segment in a coordinate plane.
1.6 definitions A straightedge is a ruler with no measurement markings on it. A compass is a geometric tool used to draw circles and arcs. A construction is a geometric figure drawn from using a compass and a straightedge.
1.6 continued Perpendicular lines are two lines that intersect to form right angles. A perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint.
1.7 Midpoint and Distance Formula On the number line, the distance between two points is: In the coordinate plane, the midpoint formula is:
1.7 continued The distance between two points can be found by the distance formula: