The sequence of transformations needed to move triangle ABC to triangle EGH to show that the triangles are congruent is as follows:
1. Reflect triangle ABC over the x-axis:
- Reflect point A(-6, -2) to its image E(6, 2)
- Reflect point B(-4, -5) to its image H(4, 5)
- Reflect point C(-1, -5) to its image G(1, 5)
2. Translate the reflected triangle to coordinate 1:
- Translate point E(6, 2) by subtracting 5 from the x-coordinate and subtracting 1 from the y-coordinate: E(6-5, 2-1) = E(1, 1)
- Translate point H(4, 5) by subtracting 5 from the x-coordinate and subtracting 1 from the y-coordinate: H(4-5, 5-1) = H(-1, 4)
- Translate point G(1, 5) by subtracting 5 from the x-coordinate and subtracting 1 from the y-coordinate: G(1-5, 5-1) = G(-4, 4)
Therefore, reflecting triangle ABC over the x-axis and then translating it to coordinate 1 results in triangle EGH.
What is the sequence of transformations needed to move triangle abc to triangle egh to show that the triangles are congruent?
Reflect over the x-axis then translate to coordinate 1
The locations of the triangle in the third quadrant are
A(-6, -2) B(-4, -5) C(-1, -5)
And the ones in the first quadrant are
E(4,6) H(2,3) G(7,6)
1 answer
1 answer