Question

Triangle LMN with vertices L(1,5), M(3,8), and N(8,1); 90° clockwise

Answer 1

L' (5, -1)

M' (8, -3)

N' (1, -8)

The sketch of this rotated triangle is presented below

Step-by-step explanation

Rotating a given coordinate A(x, y) 90° about the origin in the clockwise direction gives a new coordinate A'(y, -x)

So, for each of these,

L (1, 5) → L' (5, -1)

M (3, 8) → M' (8, -3)

N (8, 1) → N' (1, -8)

So, to draw this image, we will mark this new rotated points on the graph, then connect the points to form triangle L'M'N'.

The sketch of this rotated triangle is presented above under 'Answer'

Hope this Helps!!!