Eddie wants to find the equation of a circle with center (-5, 2) and radius 3. He uses
the argument shown. Select the word or phrase that correctly fills each blank.
Let (x, y) be any point on the circle. Then, the horizontal distance from (x, y) to
the center is (Select]
4. The vertical distance from (x, y) to the
center is [ Select]
9. The total distance from (x, y) to the center
is the radius of the circle, 3. The (Select]
can now be used to
create an equation that shows the relationship between the horizontal, vertical.
and total distance of (x, y) to the center of the circle.
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the answer is 21%.

< 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)

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