...parallelogram into four equivalent triangles. Ex. 8. Two triangles are equivalent if two sides of the one are equal respectively to two sides of the other, and the included angles are supplementary. Ex. 9. What is the locus of the vertices of all equivalent triangles constructed...

...theorems regarding inequalities, the"functional quality is even more pronounced. Thus, if two triangles have two sides of one equal respectively to two sides of the other, but if the included angle between these sides in the one triangle is greater than the corresponding...

...the given sides and angles. You learn from this the following important facts : 1. If two triangles have two sides of one equal respectively to two sides of the other — and the angles included by these sides equal — then the triangles are equal. You can convince yourself that...

...the given sides and angles. You learn from this the following important facts : 1. If two triangles have two sides of one equal respectively to two sides of the other — and the angles included by these sides equal — the triangles are equal. You can convince yourself that they...

...quadrilateral ABCD has A ABC = A ADC, prove that AC bisects BD. 18. If two triangles have two sides of the one equal respectively to two sides of the other and the included angles supplementary, the triangles are equal. HINT: Apply one triangle to the other so that the exterior...

...same ratio aa the sides of the triangle. 7. If two triangles have two sides of the one proportional to two sides of the other and the included angles equal, then the two triangles are similar. ' 8. Prove that sii^A + cus'' A = 1. Illustrate this from your log. tables,...