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Answer:
Step-by-step explanation:
<h3><u>Question 3</u></h3>Given vertices of ΔLMN:
- L = (1, -1)
- M = (4, 1)
- N = (5, -1)
Given vertices of ΔL'M'N':
- L' = (-4, 1)
- M' = (-1, 3)
- N' = (0, 1)
From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.
There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.
To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:
Therefore, the mapping rule for the translation is:
Given vertices of ΔLMN:
- L = (-6, -4)
- M = (-5, -1)
- N = (-2 -4)
Given vertices of ΔL'M'N':
- L' = (-3, -3)
- M' = (-2, 0)
- N' = (1, -3)
From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.
There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.
To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:
Therefore, the mapping rule for the translation is: