A cube with a side length of 6 feet is sliced diagonally such that passes through the three vertices shown in the figure. Which describes the cross section?
a. a triange with 3 equal sides measuring 6 feet
b. a triange with 3 equal sides measuring greater than 6 feet
c. a triange with only 2 equal sides measuring 6 feet
d. a triange with only 2 equal sides measuring greater than 6 feet

< 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)

b if for most of the graph

d if y intercept

step-by-step explanation: