Given: line segment wz is congruent to line segment yz. line segment wx is parallel to line segment zy
prove: triangle wxz is congruent to triangle yzx.

According to the hypothesis, both triangles shares XZ as one side in common. Similarly, by hypothesis we know that side WZ is congruent with YZ. So, until now, we have two congruent sides, we just need one more side congruent, or two corresponding angles congruent to demonstrate the congruence between triangles.

By hypothesis, side WX and ZY are parallel, and the side WZ is transversal to them, which forms alternate internal angles, which are congruent. Specifically, according to the parallels and the transversal, angle WXZ is congruent to YZW.

Therefore, triangles are congruent by Side-Side-Angle postulate.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

answer: finding the extract measurements and knowing the points

step-by-step explanation: