Triangle DEF is rotated 90° clockwise about the origin. The image of this transformation is triangle LMN, as shown in the figure. Triangle DEF and triangle LMN with ordered pairs at D negative 1 comma 6, at E 1 comma 3, at F 6 comma 3, at L 6 comma 1, at M 3 comma negative 1, at N 3 comma negative 6.

Which statement is true?

Segment DE is congruent to segment MN.
Segment EF is congruent to segment MN.
∠D ≅ ∠M
∠F ≅ ∠L

step-by-step explanation:

b and c

college

(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