Now, compare \(\Delta APO\) with \(\Delta BPO\):Ģ. \(\angle APO\) = \(\angle BPO\) (just shown)īy the SAS criterion, the two triangles are congruent, which means that AO = BO, and also: Proof: Compare \(\Delta PAQ\) and \(\Delta PBQ\):īy the SSS criterion, the two triangles are congruent, which means that \(\angle APO\) = \(\angle BPO\). This is the required perpendicular bisector. Step 2: Let the two points of intersection so obtained be P and Q. As a group, write answers to the questions. on discussion of why they agree or disagree with responses. Think about the relationship between perpendicular bisectors and distance. Question: By constructing the perpendicular bisectors of the two given chords, detemnine the centre and radius of each of the circles. Construct perpendicular lines, including the perpendicular bisector of a line segment. Perpendicular bisector of a line segment Practise these constructions until you can do them without looking at the instructions.
The reason you require the radius of your arcs to be more than ½ AB is that if the radius is less than ½ AB, the arcs will not intersect (try it!). Answer to By constructing the perpendicular bisectors of the. Step 1: Taking A and B as centers, and a radius more than half of AB, draw arcs on both sides of AB, to intersect each other, as shown below. The steps in the construction are outlined below. Constructing Perpendicular Bisectors: Use 4 different colors for the constructions below, 1 for each radius measure. To carry out this construction, we will use the fact that any point on the perpendicular bisector of a line segment is equidistant from the two end-points of the line segment.
ANSWERES TO GSP5 CONSTRUCTING PERPENDICULAR BISECTORS HOW TO
How can you construct the perpendicular bisector of this segment? Once again, you can use only a straight-edge and a compass. Perpendicular Bisectors: a step by step demonstration of how to draw a perpendicular bisector, a perpendicular bisector through a point on a line and a perpe. Suppose that you are given a line segment AB.
0 kommentar(er)
