A rectangular classroom is 12 meters long and 8 meters wide, you want to make a scale drawing of the room using a scale of 1cm:4 meters what will be the dimensions of your scale drawing?
A.) 48cm by 32cm
B.) 3 cm by 2cm
C.)8cm by 4cm
D.)6cm by4cm

3 cm  by 2cm

Step-by-step explanation:

the scale drawing is smaller than the classroom

so  we take the ratio  1 cm : 4m   and multiply it to the dimensions.

(1 cm/4m )*  12 m =  3cm

(1 cm/4m )*  8  m=  2cm

classroom will be  3 cm long  and 2 cm wide

choice  B.

< 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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step-by-step explanation: