Triangle DEF is congruent to right triangle ABC, shown below. If point Fhas the coordinates (3,4), what could be the
coordinates of point E?
(4-1)
o 3,-2)
0 (-24
0 (4-2)

(4,-2)

Step-by-step explanation:

because both angle are equal so point E is (4,-2)

< 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)

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8