OBJECTIVES: At the of the lesson, the learners will be able to: Uses a compass and straightedge to bisect line segments and angles and construct perpendiculars. M7GE-IIId-e-1 a . Use a compass and straightedge to bisect line segments and angles b. Construct perpendiculars and parallels using compass and straightedge c. Appreciate the value of using compass and straightedge in real life situations
Bisecto r – a line that divides the figure into two congruent parts
Perpendicular Bisector – a bisector that form right angle on the line it bisects.
Compass – is an instrument for drawing circles and arcs and measuring distances between points, consisting of two arms linked by a movable joint, one arm ending in a point and the other usually carrying a pencil or a pen.
A straightedge could a ruler (with or without units) used to guide in making a straight line or figure.
Basic Geometric Construction 1: Constructing Line Segment Congruent to a Given Line Segment
Given: D E Construct a line segment congruent to .
Step 1 . Draw a line using straightedge and indicate point M on the line. Step 2 . Fix compass opening to match the length of to measure the length of a segment. Step 3 . Mark on the line the point N with distance from M.
Basic Geometric Construction 2: Constructing Angle Congruent to a Given Angle