Question

Help :)

Explain why the two figures below are NOT similar. Use complete sentences and provide evidence to support your explanation.

Answer 1

The angles have to be same for the figures to be similar.

Answer 2

Yeah, and the angles aren't congruent, but I am having trouble actually proving it.

Answer 3

try using slope formula

Answer 4

slope of AB must be same to GH to be similar.

Answer 5

The angles HKJ and HKL are 45º.

The angles BED and BEF are 60º

Answer 6

yeah lol

Answer 7

I want to know *how* to find the slope, though. I used to know but I've forgotten.

Answer 8

\(\LARGE \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm y}_1}-\color{red}{{\rm y}_2}}{\color{green}{{\rm x}_1}-\color{darkgoldenrod}{{\rm x}_2}} }\)

where

\(\LARGE \color{black}{ \displaystyle {\rm m} }\) is the slope
\(\Large\color{black}{ \displaystyle (\color{green}{{\rm x}_1}~,~~\color{blue}{{\rm y}_1}) }\) and \(\Large\color{black}{ \displaystyle (\color{darkgoldenrod}{{\rm x}_2}~,~~\color{red}{{\rm y}_2}) }\) are your two points.

Answer 9

(that is the slope formula)

Answer 10

but you can tell that the angles are not equivalent though...

Answer 11

Thank you so much :D