Larry the librarian and Courtney the lawyer are having a debate. Larry contends that the library is bigger than the courthouse in terms of area. Courtney contends the opposite.
To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).
The area of the library is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
The area of the courthouse is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.

Library's Area= 5200

Courthouse' Area= 5027

Larry is correct.

Step-by-step explanation:

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect

< 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)