Question
Describe the type of transformation.
- Reflection
- Rotation
- Dilation
- Translation
Hint:
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.
The correct answer is: Reflection
On the x- axis, the figure is moved 4 units right, and on the y-axis the figure moved 5 units down.
So, it’s translation.
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Graph a triangle ABC with vertices A(2, 1), B(4, 4), and C(8, 0). Rotate the triangle 180o about the origin.
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A(2, 1) → A’(-2, -1)
B(4, 4) → B’(-4, -4)
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Now, graph the triangle A’B’C’.
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A(2, 1) → A’(-2, -1)
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Now, graph the triangle A’B’C’.
Graph a triangle LMN with vertices L(-5, -3), M(-3, -5), and N(0, -1). Rotate the triangle 90 about the origin.
Given, the vertices of a triangle ABC with vertices L(-5, -3), M(-3, -5), and N(0, -1).
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L(-5, -3) → L’(3, -5)
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Now, graph the triangle L’M’N’.
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Given, the vertices of a triangle ABC with vertices L(-5, -3), M(-3, -5), and N(0, -1).
For a rotation of 90 degrees, coordinate rule (a, b) → (-b, a).
L(-5, -3) → L’(3, -5)
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