Question

I need help with my geometry homework do you think you can help me?

Answer 1

`"see explanation"`

Explanation:

`color(blue)"using the side-side-side method"`

`"(side-side-side)`

`"if the three sides of one triangle are congruent to the three"`
`"sides of another triangle then the triangles are congruent"`

`"to prove "triangleABC-=trianglePQR`

`"use the "color(blue)"distance formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))`

`P(4,5)" and "Q(2,2)`

`rArrPQ=sqrt((4-2)^2+(5-2)^2)=sqrt(4+9)=sqrt13`

`A(-3,-1)" and "B(-5,-4)`

`rArrAB=sqrt((-3+5)^2+(-1+4)^2)=sqrt(4+9)=sqrt13`

`rArrPQ-=AB`

`"Repeat the above process for sides"`

`PR" and "AC" and "QR" and "BC`

`"to prove congruency"`