G: AC PERP BIS OF BD
#1-3TRUE/FALSE
1. AB CONG AD
2.
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ANY point on the perpendicular bisector AC will be equidistant from B and D.
so #1-2 are true?
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.
ok and #3 would be false or no
3) False. The two angles mentioned are not adjacent to each other.
do you know how to do # 4
In how many ways can 2 points be selected from the 4 points A,E.M and C?
3
No. 2 points be selected from the 4 points in 4C2 ways. What is 4C2 = ?
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?
2 ?
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 ?
1/2
yes.
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