What is the corresponding angle or side?

1) FK

2) SQR

Step-by-step explanation:

In congruence statements such as these, each letter's position corresponds to the letter in the same position on the other side.

For example, in 1, MK corresponds to FK because M and F are in the same position and K is in the same position as itself (reflexive property).

In 2, FHG corresponds to SQR because each letter is in the same position in the given congruence statement.

< 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)