Lucki1944
30.12.2020 •
Mathematics
Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
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Ответ:
The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
From the given image the vertices of the triangles are
Triangle A has coordinates (4,5) , (2,2) and (4,2)
After reflecting triangle A in the x-axis, triangle B is obtained
On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.
Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)
Now as triangle B is reflected by the line y = x to get triangle C, the x and y coordinates of triangle B are interchanged.
So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)
Learn more about transformation by reflection on axis:
link
Ответ:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)
Ответ: