Indicate whether the converse inverse and contrapositive in

Indicate whether the converse, inverse, and contrapositive in item 5 are true or false by circling T or F above. Is the original statement in item 5 a valid definition? Explain why or why not. Write the following statement as a biconditional. If a triangle is equilateral, then the triangle is equiangular.

Solution

Ans 6 Contrapositive) If two angles do not have equal measures, then they are not vertical = T
Reason -
In geometry, a pair of angles is said to be vertical (also opposite and vertically opposite, which is abbreviated as vert. opp. s) if the angles are formed from two intersecting lines and the angles are not adjacent. The two angles share a vertex. Such angles are equal in measure and can be described as \"equal\" (in the UK or the USA) or \"congruent\" (in the USA).

When two straight lines intersect at a point, four angles are made. The non-adjacent angles are called vertical or opposite or vertically opposite angles. Also, each pair of adjacent angles forms a straight line and the two angles are supplementary. Since either of a pair of vertical angles is supplementary to either of the adjacent angles, the vertical angles are equal in measure