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Honors Geometry Name:________________________ 10.1 Class Notes Date:_______________Period:____ Constructions Construction 1: Given a segment, construct a segment congruent to the given segment. Example 1) a a+b 3a a-b Construction 2: Given an angle, construct an angle congruent to the given angle. b Construction 3: Given an angle, construct the bisector of the angle. Construct an equilateral triangle. Example 2) What kinds of angle measurements can we now construct? Homework: p. 378 #3, 4, 6, 7, 12, 13, 14, 17, 18 Honors Geometry Name:________________________ 10.2 Class Notes Date:_______________Period:____ More Construction! Construction 4: Given a segment, construct the perpendicular bisector of the segment. Construction 5: Given a point on a line, construct the perpendicular to the line at the given point. Construction 6: Given a point outside a line, construct the perpendicular to the line from the given point. Construction 7: Given point outside a line, construct the parallel to the given line through the given point. Homework: p. 383-384 #1-13 odd Honors Geometry 10.3 Class Notes Name:________________________ Date:_______________Period:____ Concurrent Lines Concurrent Lines: _________________________________________________________________________ __________________________________________________________________________________________ Theorem 10.1: The bisectors of the angles of a triangle intersect in a point that is equidistant from the three sides of the triangle. Theorem 10-2: The perpendicular bisectors of the sides of a triangle intersect in a point that is equidistant from the three vertices of the triangle. Theorem 10-3: The lines that contain the altitudes of a triangle intersect in a point. Theorem 10-4: The medians of a triangle intersect in a point that is two thirds of the distance from each vertex to the midpoint of the opposite side. HW pg 388 #3-13 odd