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Magazine Problem 2
Prove: The angle bisector of the vertex angle of an isosceles triangle is perpendicular to the base.
Problem 3
draw your own diagram and write "Given:" and "Prove:" statements in terms of your diagram. 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.
Problem 6
set up each problem and supply a proof of the statement. The median to the base of an isosceles triangle divides the triangle into two congruent triangles.
Problem 7
set up each problem and supply a proof of the statement. If the base of an isosceles triangle is extended in both directions, then the exterior angles formed are congruent.
Problem 8
set up and complete a proof of each statement. If the median to a side of a triangle is also an altitude to that side, then the triangle is isosceles.
Problem 10
set up and complete a proof of each statement. If the line joining a pair of opposite vertices of a four-sided polygon bisects both angles, then. the remaining two angles are congruent.
Problem 10
Prove that the median to the base of an isosceles triangle is also an altitude to the base.
Problem 11
set up and complete a proof of each statement. If two triangles are congruent, then any pair of corresponding medians are congruent.
Problem 12
Prove that if two circles intersect at two points, A and B, then the line joining the circles' centers is perpendicular to \(\overline{\mathrm{AB}}\).
Problem 13
set up and complete a proof of each statement. If each pair of opposite sides of a four-sided figure are congruent, then the segments joining opposite vertices bisect each other.
