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Relating Terms. ‘ Perpendicular ’ and ‘ Complementary Angles ’. Suppose rays AB and AD are perpendicular. Therefore, the measure of angle BAD is 90 0 So if the angle BAD is cut into ‘parts’, then the sum of these parts must still be 90 0. B. A. D.
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Relating Terms ‘Perpendicular’ and ‘Complementary Angles’
Suppose rays AB and AD are perpendicular Therefore, the measure of angle BAD is 900 So if the angle BAD is cut into ‘parts’, then the sum of these parts must still be 900. B A D
If angle BAD is cut into ‘parts’, then the sum of these parts must still be 900. Recall, the measure of angle BAD is 900 Since the measures of angles BAP and PAD add to be 900, the angles are called complementary B P A D
In Summary… We were given a pair of perpendicular rays, therefore the angle they formed measured 900. We cut this angle into two parts, so the sum of measures of these parts (angles) must still be 900. Since these angles have a sum of 900, they are called complementary.