Your friend claims that if a line has a slope less than 1, then any line perpendicular to it must have a positive slope. Is your
1 answer:
Answer:
The friend's claim is not correct
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)
Example
A given line has a slope of ---> (is less than 1)
the slope of the line perpendicular to the given line is equal to
substitute
so
the perpendicular line don't have a positive slope
therefore
The friend's claim is not correct
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Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.
Explanation:-
Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.
The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of the each point of the original figure to the image.
In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.
