Question
Find point C on the x-axis, so AC + BC is minimum.
A(2, 3), B (-3, -3)
- C(-1, 0)
- C(1, 0)
- C(0.5, 0)
- C(-0.5, 0)
Hint:
Plot the points A'B or AB' and then find the point on the x-axis.
The correct answer is: C(-0.5, 0)
* In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
*It is a type of transformation that produces mirror image of the shape.
Given That:
Find point C on the x-axis, so AC + BC is minimum when A(2, 3), B (-3, -3)
* We know that A(2, 3), B (-3, -3)
* We have to find the point C on the x-axis, so AC + BC is minimum.
* First, plot the points in the coordinate system. The shortest distance from point A to point B gives the line that joins these two points.
* Now, join line A to B; line AB intersects at the x-axis at point C.
* This point C is on the x-axis, so AC+ BC is minimum.
Graphical Representation:
>>>Therefore, the required point is C(-0.5,0).
Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point
Related Questions to study
Find point C on the x-axis, so AC + BC is minimum.
A(2, -3), B (3, -5)
Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point.
Find point C on the x-axis, so AC + BC is minimum.
A(2, -3), B (3, -5)
Since, the point lies on the x-axis. Then, the intersection of the line A'B and the x-axis gives the required point.
What is the line of reflection for 
and its image?
From the graph, the line of reflection is y = 3.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = 3.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = -x.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = -x.
What is the line of reflection for and its image?
From the graph, the line of reflection is x-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is x-axis.
Find the reflection matrix on the y- axis.
The matrix representation for the reflection with respect to y-axis:
Find the reflection matrix on the y- axis.
The matrix representation for the reflection with respect to y-axis:
Write the matrix for the polygon.
The required matrix is:
Write the matrix for the polygon.
The required matrix is:
Write the matrix for the polygon.
The required matrix is:
Write the matrix for the polygon.
The required matrix is:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect 
in the y - axis.
The required matrix is:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect in the y - axis.
The required matrix is:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect
in the x - axis.
>>>Since, it is reflected on x-axis, the matrix multiplication looks like:
Use matrix multiplication to find the image. Graph the polygon and its image. Reflect
in the x - axis.
>>>Since, it is reflected on x-axis, the matrix multiplication looks like:
Find point C on the x-axis, so AC + BC is minimum.
A(4, -3), B (8, -5)
>>>Finding A'B line AB' line intersection point gives the point that gives minimum sum of AC and BC on x-axis.
>>>Therefore, the point of intersection becomes: C(5.5,0).
Find point C on the x-axis, so AC + BC is minimum.
A(4, -3), B (8, -5)
>>>Finding A'B line AB' line intersection point gives the point that gives minimum sum of AC and BC on x-axis.
>>>Therefore, the point of intersection becomes: C(5.5,0).
Find point C on the x-axis, so AC + BC is minimum.
A(2, 4), B (6, 2)
The point present in the x-axis. and also on the line image of A and point B.
>>>From the given data the point becomes (4.7,0)
Find point C on the x-axis, so AC + BC is minimum.
A(2, 4), B (6, 2)
The point present in the x-axis. and also on the line image of A and point B.
>>>From the given data the point becomes (4.7,0)
What is the line of reflection for and its image?
From the graph, the line of reflection is x= -1
What is the line of reflection for and its image?
From the graph, the line of reflection is x= -1
What is the line of reflection for and its image?
From the graph, the line of reflection is y-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is y-axis.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = x.
What is the line of reflection for and its image?
From the graph, the line of reflection is y = x.
Find the reflection matrix on the x-axis.
The reflection matrix on the x-axis = 
Find the reflection matrix on the x-axis.
The reflection matrix on the x-axis =
