What set of reflections would carry rectangle abcd onto itself?

rectangle abcd is shown. a is at negative 5, 1. b is at negative 5, 3. c is at negative 1, 3. d is at negative 1, 1.

y-axis, x-axis, y-axis, x-axis
x-axis, y=x, y-axis, x-axis
x-axis, y-axis, x-axis
y=x, x-axis, x-axis

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180