Mathematic geometry question need help!!?

👨🏻‍🏫 學術台數學

Tommy

2012-05-23 9:10 pm

Show that if a circle with centre A intersects a circle with centre B in two
distinct points P and Q, then the line through AB is the perpendicular
bisector of the segment PQ. Please help!!!

更新1:

How do I show that? Please give explaination and steps.

回答 (1)

[匿名]

2012-05-23 9:27 pm

✔ 最佳答案

Difficult to explain without showing a picture. A basic theorem is that if you draw a triangle in a semicircle with the hypotenuse as the diameter then the 3rd vertex on the edge of the circle is always a right angle. Since right angles are perpendicular, manipulating that will give you what you need.

http://www.algebra.com/algebra/homework/Circles/Theorems-on-Triangle-and-Circle.lesson

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