Question 460234

If the pupils are drawing two angles of the same size and one side of the same length, it is {{{not}}}{{{ sure}}} that they would draw congruent triangles although it {{{would}}} {{{be}}} possible.

why?

There are two positions of these elements of triangles for them to be considered congruent

ASA angle, side angle and
AAS angle angle side

Say triangle {{{ABC}}}

Lets say one draws angle {{{A =20}}} degrees and angle {{{B= 60}}} degrees and line {{{AC = 5cm}}} This would qualify for {{{AAS}}} and congruent but only if both draw the angles and lines {{{in }}}the {{{same}}}{{{ positions}}}.


If one drew {{{AC = 5cm}}} and the other drew {{{BC = 5cm}}} they would {{{not }}}be congruent.

The other {{{ASA}}} is if they both draw the same size side between the two anglea which were in the same position:

for example angle {{{A = 20}}} angle {{{B = 60}}} and {{{AB = 5cm}}}