Maths-
General
Easy
Question
𝐴𝑃 is the perpendicular bisector of 𝐵𝐶.
a. What segment lengths in the diagram are equal?
b. Is A on 𝐴𝑃?
Hint:
- Perpendicular bisector theorem
- According to perpendicular bisector theorem, in the triangle, any point on perpendicular bisector is at equal distance from both end points of the line segment on which it is drawn.
The correct answer is: 1. equal segments AB = BC and BP = PC 2. Yes, A lie on AP.
Answer:
- Step by step explanation:
- Given:
AB = 10.
AC = 10
AP is perpendicular bisector at BC.
- Step 1:
In 
,
AP is perpendicular bisector.
P is midpoint of BC.
So,
BP = PC
- Step 2:
A is equidistant from B and C.
According to perpendicular bisector theorem,
The point equidistant from two vertex lies on perpendicular bisector
A lie on AP.
- Final Answer:
- equal segments AB = BC and BP = PC
- Yes, A lie on AP.
- Given:
AP is perpendicular bisector at BC.
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