Construction 3. ……..Perpendicular Bisectors Name_______________________________________
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Geometry Sketchpad Activity Section 5.3 Name_______________________________________ Construction 3. ……..Perpendicular Bisectors Create a new sketch and construct a triangle using the segment tool. 1. Construct the midpoint of each side a. Select segment and go to Construct>Midpoint 2. Construct the perpendicular bisector a. Select segment and its midpoint. b. Construct>Perpendicular 3. Choose 2 of the lines you constructed and show the intersection with: Construct>Intersection Vertex angles Is point O inside, outside, Distance between O and each vertex on the triangle Acute triangle Right triangle Obtuse triangle A =_______ Distance to A = _____________ B = _______ Distance to B = ______________ C =_______ Distance to C = ______________ A =_______ Distance to A = ______________ B = _______ Distance to B = ______________ C =_______ Distance to C = ______________ A =_______ Distance to A = ______________ B = _______ Distance to B = ______________ C =_______ Distance to C = ______________ Construction 4…………Angle Bisectors Create a new sketch and construct a triangle using the segment tool. 1. Construct the angle bisector of each vertex a. Select vertices in this order: A,B,C i. Construct>Angle Bisector b. Select vertices in order: B,C,A i. Construct>Angle Bisector c. Select vertices in order: C,A,B i. Construct>Angle Bisector 2. Choose 2 of the lines you constructed and show the intersection with: Construct>Intersection Vertex angles Is point O inside, outside, on the Distance between O and each side of triangle the triangle Acute Triangle Right Triangle Obtuse Triangle A =_______ Distance to AB = ______________ B = _______ Distance to BC = ______________ C =_______ Distance to CA = ______________ A =_______ Distance to AB = ______________ B = _______ Distance to BC = ______________ C =_______ Distance to CA = ______________ A =_______ Distance to AB = _______________ B = _______ Distance to BC = _______________ C =_______ Distance to CA = _______________ Geometry Sketchpad Activity Section 5.3 Name_______________________________________ For each construction, label the intersection of the lines as O. Point O is the intersection of the lines created in each construction For each triangle type, state if the intersection point O lies inside, outside, or on the triangle. Construction 1. Altitudes of Triangles Vertex angles Construction 1.………………. Altitudes of Triangles Create a new sketch and construct a triangle using the segment tool. 1. Construct the altitude from each vertex. a. Select a vertex and the side opposite (not including) the vertex. b. Construct>Perpendicular Line 2. Repeat this for each vertex. 3. Choose 2 of the lines you constructed and show the intersection with: Construct>Intersection Acute Triangle Is point O inside, outside, on the triangle A =_________ B = _________ C =__________ Right Triangle A =_________ B = _________ C =__________ Obtuse Triangle A =_________ B = _________ C =__________ Construction 2. Medians of Triangles Vertex angles Construction 2….Medians of Triangles Create a new sketch and construct a triangle using the segment tool. 1. Construct the Median for each side. a. To find the midpoint of each side: i. Select the side. ii. Construct>Midpoint b. Draw segment from this midpoint to the opposite vertex. 2. Repeat for each vertex and opposite side. 3. Choose 2 of the lines you constructed and show the intersection with: Construct>Intersection Acute Triangle A =_________ B = _________ C =__________ Right Triangle A =_________ B = _________ C =__________ Is point O inside, outside, on the triangle Geometry Obtuse Triangle Sketchpad Activity Section 5.3 A =_________ B = _________ C =__________ Name_______________________________________
