0
This is only true of triangles. Rhombi and other "squashed" polygons with more than three sides show that it is not true otherwise.
The two equal sides meet at an angle. It can be shown that the bisector of that angle divides the triangle into two triangles with one set of equal sides, one common side and these sides define angles of equal measure. So by SAS, the two triangle are congruent and so the angles in question are equal.
Alternatively, you could prove (as easily) that the altitude from that angle divides the original triangle into two right angled triangles with a common side and equal hypotenuses. Again congruence resulting in the equality of the angles as required.
Still curious? Ask our experts.
Chat with our AI personalities
Rene
Fran
CoachAdd your answer:
Earn +20 pts
What is a parallelogram that has all equal sides?
Rhombus = 4 equal sides Rectangle = 4 equal angles Square = 4 equal sides and 4 equal angles Rhomboid = unequal adjacent sides and angles
What is corresponding angles and sides are referred to as?
what is corresponding angles and sides referred to as They are the opposites that are equal if it is angles they are always equal if they are angles they can only be coarrasoponding if they are equal
Can a regular polygon have equal sides and equal angles?
Not only can a regular polygon have equal angles and sides, it must have them.
Does a regular polygon have equal angles and unequal sides?
A regular polygon has equal angles AND sides.
Triangle with no equal sides angles or sides?
A triangle with no equal sides or angles will always be classified as 'scalene'.
