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vampirchik [111]
3 years ago
15

The vertices of a triangle are P(-3,8), Q(-6,-4), and R(1,1). Name the vertices of the image reflected in the X-axis

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

P' ( - 3 , - 8 )    Q' ( - 6 , 4 )      R' ( 1 , - 1 )  

Step-by-step explanation:

- The reflection of any point ( x , y ) in a cartesian coordinate system can be determined by the units of y. The number of units of y above or below the x-axis must be determined.

- If the point ( x , y ) lies y units above the x-axis then its reflection in X-axis is y units below the x-axis while the x-coordinate remains the same. Similarly, If the point ( x , y ) lies y units below the x-axis then its reflection in X-axis is y units above the x-axis while the x-coordinate remains the same.  

- We have the following vertices of the triangle:

                       P ( -3 , 8 )      Q ( -6 , -4 )       R ( 1 , 1 )

We see that point P lies y = 8 units then its reflection in X-axis is 8 units below the x-axis i.e y = -8 while x remains the same at x = -3. So the reflected point P' is:

                                            P' ( - 3 , - 8 )

We see that point Q lies 4 units below x-axis y = -4 then its reflection in X-axis is 4 units above the x-axis i.e y = +4 while x remains the same at x = -6. So the reflected point Q' is:

                                            Q' ( - 6 , 4 )

We see that point R lies y = 1 units then its reflection in X-axis is 1 units below the x-axis i.e y = -1 while x remains the same at x = 1. So the reflected point R' is:

                                            R' ( 1 , - 1 )

- The the vertices of the reflected image are:

                      P' ( - 3 , - 8 )    Q' ( - 6 , 4 )      R' ( 1 , - 1 )  

Luda [366]3 years ago
5 0
P(-3,-8) Q(-6,4) R (1,-1)
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