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A figure after translation has the same shape, size, and orientation as before the translation.
Which Triangle? â–³ MNO
Translation: 10 units right
We are given the following triangles on a coordinate plane.
We will identify the image of â–³ DEF after the translation, then describe the translation one at a time.
Recall that a figure after translation has the same shape, size, and orientation as before the translation. Let's take a closer look at â–³ GHI and â–³ JKL.
â–³ GHI and â–³ JKL have the same shape and size as â–³ DEF but have a different orientation. This means that neither of these two triangles is are the translation of â–³ DEF. Now we will look at â–³ MNO.
â–³ MNO has the same shape, size, and orientation as â–³ DEF. Therefore, â–³ MNO is the translation of â–³ DEF.
Since we know that â–³ MNO is the image of â–³ DEF after the translation, we can describe this translation. Let's look at these two triangles.
A translation is a transformation that moves every point of a figure the same distance in the same direction. This means that the given translation maps each vertex of â–³ DEF to its corresponding point of â–³ MNO. We can determine the rule using only one vertex of â–³ DEF and its corresponding point of â–³ MNO. Let's use E and its image N to determine the rule.
We can see that point E was moved 10 units right to get point N. Therefore, each point of â–³ DEF was translated 10 units right.