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Triangle KLM

has vertices K = (0, 0), L = (3, 0) and M = (0, 4). Triangle K'L'M'
is formed when Triangle KLM
is rotated 90° to point K.

User Bbfire
by
8.9k points

1 Answer

5 votes

Final answer:

The 90° rotation of triangle KLM about point K results in triangle K'L'M' having vertices K' = (0, 0), L' = (0, 3), and M' = (-4, 0).

Step-by-step explanation:

The question involves the concept of geometric rotations, specifically the details about the result of a 90° rotation of triangle KLM around point K.

To perform this rotation, we need to take each vertex of the triangle and rotate it 90° around the origin point K.

When we rotate point L (3, 0), it will move to the position (0, 3), because a 90° rotation will switch the x and y coordinates and change the sign of the former x-coordinate.

Similarly, when we rotate point M (0, 4), it will move to the position (-4, 0). As a result, triangle K'L'M' will have vertices K' = K = (0, 0), L' = (0, 3), and M' = (-4, 0).

Therefore, the rotated triangle K'L'M' has its vertices at the specified coordinates after being rotated 90° about point K.

User Bramvdk
by
7.6k points