What set of reflections would carry parallelogram abcd onto itself?
parallelogram abcd is shown. a is at negative 1, negative 2. b is at negative 2, negative 1. c is at negative 4, negative 1. d is at negative 3, negative 2.
answer choices
x-axis, y=x, x-axis, y=x
y=x, x-axis, y=x, y-axis
y-axis, x-axis, y-axis
x-axis, y-axis, y-axis

The correct option is 2.

Step-by-step explanation:

The vertices of parallelogram ABCD are A(-1,-2), B(-2,-1), C(-4,-1), D(-3,-2).

In option 1, ABCD reflected about x-axis, y=x, x-axis, y=x.

Therefore option 1 is incorrect.

In option 2, ABCD reflected about y=x, x-axis, y=x, y-axis.

Therefore the parallelogram ABCD onto itself. Option 2 is correct.

In option 3, ABCD reflected about y-axis, x-axis, y-axis.

Therefore option 3 is incorrect.

In option 4, ABCD reflected about x-axis, y-axis, y-axis.

Therefore option 4 is incorrect.

29 mil

step-by-step explanation:

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: