20 points determine whether side-side-angle (ssa) is a valid means for establishing triangle congruence. in this case, you know the measure of two adjacent sides and the angle opposite to one of them. if it is a valid criterion, explain why. if it is not valid, use geogebra to create a counterexample demonstrating that it doesn’t work and give an explanation. (hint: try constructing a triangle where the known angle is opposite to the shortest known side.) if you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.

It's not valid because there are too many unknown quantities, meaning there is not exactly one triangle that could exist for any given SSA combination.

For a visual example, see the attached image below.

It's fairly obvious that . One is acute, the other is obtuse. In the triangle on the right, the dashed side has the same length as in the triangle on the left. This dashed side and the actual side form an isosceles triangle with congruent base angles . The angles and are supplementary (they add to 180 degrees), or .

Now by the law of sines, in the first triangle,

and that in the second triangle,

but we also know that . Hence .

Two different angles in this arrangement allow for two different triangles to be constructed, so having a SSA correspondence between two triangles is not enough evidence for their congruence.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

can you make your screen more see able?

then i might be able to .