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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.