Question

What is true about the rotation of the shaded triangle to the position of the unshaded triangle? Check all that apply. On a coordinate plane, a shaded triangle has points (1, 3), (1, 1), and (negative 5, 3). An unshaded triangle has points (negative 1, negative 1), (negative 1, negative 3), (5, negative 3). The rotation uses the rule (x, y)g(–x, –y). The rotation uses the rule (x, y)g(y, –x). The rotation is 90° clockwise about the origin. The rotation is 180° about the origin. The rotation uses the rule (x, y)g(–y, x). The rotation is 90° counterclockwise about the origin.

Answer 1

The rotation uses the rule (x, y)g(–x, –y).

The rotation is 180° about the origin.

Step-by-step explanation:

The coordinates of the shaded triangle would be:

A(1,1), B(1,3), and C(-5,3)

While the coordinates of the unshaded traingle are;

x(-1,-1), y(-1,-3), and z(5,-3)

Now, by using the rule (x, y) --> g(–x, –y).

A(1,1) --> A1(-1,-1)

B(1,3) --> B1(-1,-3)

C(-5,3) --> C1(5,-3)

∵ ∆A1B1C1 = ∆XYZ

Thus, the statements 'the rotation..(-x, -y)' and 'the rotation...origin') would be true.

Learn more: Find the area of the shaded region

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Answer 2

Answer:

The actual answer is A and D.

Step-by-step explanation: