Math  /  Geometry

QuestionFigure 3
8. In this example, our two lines are not parallel. Drag Point EE to the left and to the right as you have in the previous examples. What is different about this figure? How does it affect the observations you made in the previous examples? Be specific in your explanation. - Vertical anglos.
9. Look at angles BGH and EGA. Why do these angles remain congruent even though the two lines are not parallel? Make a specific distinction between the relationships observed in the first two figures and this figure.

Studdy Solution
When lines ABAB and CDCD are not parallel, angles BGH\angle BGH and EGA\angle EGA remain congruent because they are vertical angles.
Moving point EE changes the measure of other angles, but vertical angles *always* stay congruent.
This is different from parallel lines, where corresponding and alternate interior/exterior angles are also congruent.

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