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keishlav5183
08.07.2019 •
Mathematics
Triangle xyz is shown on the coordinate plane below: triangle xyz on the coordinate plane with ordered pairs at x 3, negative 1, at y 4, negative 4, at z 1, negative 2 if triangle xyz is reflected across the line y = 1 to create triangle x'y'z', what is the ordered pair of x'?
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Ответ:
(3, -1)
(4, -4)
(1, -2)
The triangle created is the first file attached.
When reflected off of the line y = 1, it is one higher y than reflecting off the y axis. So, the coordinates are (1,-4) (3, 3) (4, 6)
Ответ:
The ordered pair of
is ![(3,3)](/tpl/images/0063/7042/9889a.png)
Explanation
According to the below diagram, the co ordinates of
are:
and ![Z(1,-2)](/tpl/images/0063/7042/7bfc8.png)
The triangle
is reflected across the line
to create triangle ![X'Y'Z'](/tpl/images/0063/7042/5104c.png)
Distance of the point
from the line
is 2 units.
So, the point
will be also 2 units above the line
. As the triangle is reflected across a horizontal line, so the
co-ordinate of the point will remain same.
So, the ordered pair of
is ![(3,3)](/tpl/images/0063/7042/9889a.png)
Ответ: