Question
Point P is inside △ 𝐴𝐵𝐶 and is equidistant from points A and B. On which of the following segments must P be located?
- AB
- The perpendicular bisector of AB
- The perpendicular bisector of AC
- The midsegment opposite AB
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: The perpendicular bisector of AB
Answer:
- Step by step explanation:
- Given:
Point P is inside △ 𝐴𝐵𝐶 and is equidistant from points A and B.
- Step 1:
- In △ ABC,
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.
So,
As P is equidistant from A and B it lies on perpendicular bisector on AB.
- Final Answer:
Correct option. B. The perpendicular bisector of 𝐴𝐵.
- Given:
Related Questions to study
A constant has a degree__________.
A constant has a degree__________.
Graph the equation
Graph the equation
A= 5x-3y +2z, B= 4x-2y+3z, C= 6x-4y -4z, Find A-B+C
A= 5x-3y +2z, B= 4x-2y+3z, C= 6x-4y -4z, Find A-B+C
For an obtuse triangle, the circumcentre lies
For an obtuse triangle, the circumcentre lies
For a right triangle, the circumcentre lies
For a right triangle, the circumcentre lies
How does adding and subtracting polynomials compare to adding and subtracting integers?
How does adding and subtracting polynomials compare to adding and subtracting integers?
For an acute triangle, the circumcentre lies
For an acute triangle, the circumcentre lies
The point of concurrency of the three perpendicular bisectors of a triangle is called the ________ of the
triangle.
The point of concurrency of the three perpendicular bisectors of a triangle is called the ________ of the
triangle.
Find AB.
Find AB.
- If 𝐴𝐵 ≅ 𝐵𝐶, Find 𝐶𝐸.
- If 𝐴𝐵 ≅ 𝐵𝐶, Find 𝐶𝐸.
Three sides of a triangle are (2x-y+4z) , (4x-3y +2z ) and (6x-5z+2y ) . Find its
perimeter?
Three sides of a triangle are (2x-y+4z) , (4x-3y +2z ) and (6x-5z+2y ) . Find its
perimeter?
- 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.
Find 𝐶𝐸.
Find 𝐶𝐸.
- 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.
Find 𝐶𝐸.
Find 𝐶𝐸.
The length and breadth of a rectangle are 2x-3y+1 and 4x-2y+3. Find its perimeter.
The length and breadth of a rectangle are 2x-3y+1 and 4x-2y+3. Find its perimeter.
Graph the equation
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph
Graph the equation
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph