I'll give angle mno is formed by segments mn and no on the coordinate grid below: angle mno is rotated 180 degrees counterclockwise about the origin to form angle m′n′o′. which statement shows the measure of angle m′n′o′? a. m∠m′n′o′ = 90 degrees b. m∠m′n′o′ = 180 degrees c. m∠m′n′o′ = 2 × m∠mno d. m∠m′n′o′ = m∠mno

D. ∠M'N'O' = ∠MNO

Explanation:

Rotation is a rigid transformation. This means that it preserves the shape of the figure and changes only its orientation.

In other words, lengths of sides as well as measures of angles are not changed by rotation.

Now, we know that ∠MNO is rotated. This means that the orientation of the angle will change, however, its measure will remain unchanged. Both the measure of the original angle and the rotated one will be equal.

Therefore, the correct answer would be:

D. ∠M'N'O' = ∠MNO

Hope this helps :)

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: