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