Geometry Homework

Question

Translate triangle ABC. Translate triangle ABC using this rule: (x,y) turns into (x-8,y+5)

Pre-image points: A(1.-4), B(2,-1) and C(6,-4)

How will this coordinate rule move our figure ?

What are the new image points ?

Was this transformation isometric ?

Answer 1

The rule moves the image 8 units to the left (x - 8) and 5 units up (y + 5).

A' = (1 - 8, -4 + 5)

B' = (2 - 8, -1 + 5)

C' = (6 - 8, -4 + 5)

Yes, the translation, a slide, is isometric (the same is maintained).

Answer 2

I drew it. Side c=5 (given 6-1). Side a=3^2+1^2=c^2=10^.5=3.162.............=side a (original).

a^2+b^2=c^2 so 25-10=15^.5=3.872.......=b (original).

Area=ab/2=(3.16*3.87)/2=6.11

I don't know what to do with the figures you translate.