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Transcript
Sec 4.2
Page 178
pg 178: 2-4, 8, 9, 10-14
#2 Given: A four sided polygon with all four sides congruent (rhombus)
Conclusion: The lines joining opposite vertices are perpendicular
#3 Given: Segments drawn perpendicular to each side of an angle from a point on the
bisector of the angle
Conclusion: These two segments are congruent
#4 The bisector of the vertex angle of an isosceles triangle is perpendicular to the base.
#8 If the median to a side of a triangle is also an altitude to that side, then the triangle
is isosceles
#9 The line segments joining the vertex angle of an isosceles triangle to the trisection
points of the base are congruent
#10 If the line joining a pair of opposite vertices of a four sided polygon bisects both
angles, then the remaining two angles are congruent
#11 If two triangles are congruent, then any pair of corresponding medians are
congruent
#12 If a triangle is isosceles, the triangle formed by its base and the angle bisectors of its
base angles is also is also isosceles.
#13 if each pair of opposite sides of a four-sided figure are congruent, then the segments
joining opposite vertices bisect each other.
#14 If a point on the base of an isosceles triangle is equidistant from the midpoints of
the legs, then that point is the midpoint of the base.