Triangles \triangle KLM△KLMtriangle, K, L, M and \triangle ABC△ABCtriangle, A, B, C are congruent. The side length of each square on the grid is 111 unit.
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Answer:
Probably a bit late of an answer but the Answer is "Both"
Step-by-step explanation:
Both of the sequences line up KLM with ABC
Both sequences A and B are valid, therefore, Option C is the correct option.
'In mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection. The image of a figure by a reflection is its mirror image in the axis or plane of reflection.'
According to the given problem,
For sequence A,
In triangle KLM, for point M, when we translate M, 9 units to the left and 7 units down, the point M reflects directly over the point C.
For point K, when we translate K, 9 units to the left and 7 units down, it will bring point K, 2 units to the left and 4 units down to point C.
For point L, when we translate L, 9 units to the left and 7 units down, it will reflect L directly 7 units down to the point C.
Now, a slope of -1 means a 45° turn in the anticlockwise direction which will reflect ΔKLM on ΔABC.
So, sequence A is valid.
For sequence B, When we move the line KL 3 units to the left and 1 unit down, it will reflect the line KL directly over the line AB.
So, sequence B is also valid.
Hence, the sequences A and B are both valid, which is why option C is the correct choice.
Learn more about reflection here: https://brainly.com/question/15487308
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