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Mathematics 7 Online
OpenStudy (daisy.xoxo619):

G: AC PERP BIS OF BD #1-3TRUE/FALSE 1. AB CONG AD 2.

OpenStudy (daisy.xoxo619):

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OpenStudy (aum):

ANY point on the perpendicular bisector AC will be equidistant from B and D.

OpenStudy (daisy.xoxo619):

so #1-2 are true?

OpenStudy (aum):

1) is True. If E is ON the perpendicular bisector AC, then angle EBD = angle EDB. But if E is NOT on AC then 2) is False.

OpenStudy (daisy.xoxo619):

ok and #3 would be false or no

OpenStudy (aum):

3) False. The two angles mentioned are not adjacent to each other.

OpenStudy (daisy.xoxo619):

do you know how to do # 4

OpenStudy (aum):

In how many ways can 2 points be selected from the 4 points A,E.M and C?

OpenStudy (daisy.xoxo619):

3

OpenStudy (aum):

No. 2 points be selected from the 4 points in 4C2 ways. What is 4C2 = ?

OpenStudy (aum):

4C2 = 4! / (2! * 2!) = 4*3 / 2 = 6 ways. The four points are A, E, M and C. You can select any two points in the following way: AE AM AC EM EC MC (for a total of 6 ways). Out of these 6 ways, how many are perpendicular bisectors?

OpenStudy (daisy.xoxo619):

2 ?

OpenStudy (aum):

AE (not a perpendicular bisector) AM (yes) AC (yes) EM (no) EC (no) MC (yes) 3 out of 6 are perpendicular bisectors. Therefore, the probability is ?

OpenStudy (daisy.xoxo619):

1/2

OpenStudy (aum):

yes.

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