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Activity 4.1 Interior and Exterior Angles of Polygons
YOUR TASK
Explore and identify the relationships between the angles formed by intersecting lines.[br]Determine if the statements of relationships between angles is ALWAYS TRUE or ALWAYS FALSE
This GeoGebra applet shows a quadrilateral ABCD with the measure of its interior angle shown. [br][br]To explore, click the button to show the figure when the sides are extended. You can also change the figure by [color=#0000ff]dragging[/color] any of the [b][color=#0000ff]points [/color][/b]A, B, or C. Each time you drag any of the points, you will have a different set of angle measurements. [br][br]To identify the relationships among the angles, record the measurements of the angles in the table. [br][br]
Generate sets of measure for interior and exterior angles of quadrilateral ABCD.
TRUE or FALSE, JUSTIFY
For each of the statement below,[br][br][b]Write TRUE [/b]if the statement is always true. Then, justify your answer using the data in the table.[br][br][b]Write FALSE[/b] if the statement is always false or not true. Then, justify using a counterexample from the table.
Sum of interior angles
[i]The sum of the four interior angles of the quadrilateral is 360 degrees. [/i][i]ALWAYS TRUE or ALWAYS FALSE? Justify your answer with examples from the table.[/i]
Sum of a pair of interior and exterior angles with common vertex
[i]The sum of a pair of interior and exterior angles in quadrilateral ABCD is 180 degrees. [/i][i]ALWAYS TRUE or ALWAYS FALSE? Justify your answer with examples from the table.[/i]
Pair of interior angles
[i]The sum of any pair of interior angles in quadrilateral ABCD is 180 degrees. ALWAYS TRUE or ALWAYS FALSE? Justify your answer with examples from the table.[/i]
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Co-developer
Erlina Ronda