The rectangle was rotated 360° around its center, point C. Vertex D traces the path of a circle and lands back
Which best explains why the rotation represents an
isometric transformation?
upon itself.
O The angle at point D remained a right angle.
O The rectangle did not change shape or size.
O Point C remained the center of the rectangle.
O Point C did not remain the center of the rectangle.
4
3+
2+
ito
1
2.
3
4
6
x
-2 -11 -
-2
-3

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

step-by-step explanation:

< 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)