To determine the composition transformation, we need to compare the coordinates of the original triangle LMN with the coordinates of the transformed triangle L''M''N''.
Let's start by analyzing the X-coordinates:
- L(1, 1) corresponds to L''(2, -1): The X-coordinate increased by 1.
- M(7, 2) corresponds to M''(-4, 0): The X-coordinate decreased by 11.
- N(5, 7) corresponds to N''(-2, 5): The X-coordinate decreased by 7.
Next, let's analyze the Y-coordinates:
- L(1, 1) corresponds to L''(2, -1): The Y-coordinate decreased by 2.
- M(7, 2) corresponds to M''(-4, 0): The Y-coordinate decreased by 2.
- N(5, 7) corresponds to N''(-2, 5): The Y-coordinate decreased by 2.
Based on these comparisons, we can conclude that the composition transformation consists of a move to the left by 3 and down by 2 (or simply a move to the left by 3 and up by -2).
Therefore, the correct answer is:
B. A reflection across the X axis in the move to the left by 3 and down by 2.
what composition transformation rule has triangle LMN, L(1, 1), M(7, 2) and N(5, 7) map onto. triangle L’’M’’N’’, L’’ (2, -1), (-4, 0), and N’’ (-2, 5)?
A. A reflection across the Y axis and a move to the right by 3 and down by 2.
B. A reflection across the X axis in the move to the left by 3 and down by 2.
C. A rotation of 270° clockwise and a move right by 3 and up by 2.
D. A reflection across the Y axis and a move to the left by 5 and up by 3.
1 answer
1 answer