Describe multiple rigid transformations using coordinate points.
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Point $$A$$ is located at $${ (2, 4)}$$. Perform the following transformations on point $$A$$, and label each new point.
Figure $${{DEF}}$$ underwent two translations, and the coordinate points after each translation are shown below.
Original figure | Translation 1 | Translation 2 |
$$D(-2,-2)$$ | $$D'(-2,-4)$$ | $$D''(3,-2)$$ |
$$E(-2,-3)$$ | $$E'(-2,-5)$$ | $$E''(3,-3)$$ |
$$F(-3,-3)$$ | $$F'(-3,-5)$$ | $$F'' ($$ ___ , ___ $$)$$ |
An isosceles trapezoid has coordinate points $${A(-1,2)}$$, $${B(3,2)}$$, $${C(4,-1)}$$, $${D(-2,-1)}$$.
If the trapezoid is reflected over the $$y$$-axis, what will be the coordinates of point $${B'}$$? Of point $${D'}$$?
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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The figure shown below undergoes two transformations. First, it is reflected across the $$x$$-axis. Then the reflected image is translated $$3$$ units to the left and $$4$$ units up.
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