Question

I could REALLY use help with this!!!

Answer 1

@snowflake0531

Answer 2

@jhonyy9

Answer 3

So first, you want to look at your given statements,
\(\color{lime}{GF = \dfrac{1}{2} GC}\)
\(\color{lime}{GE = \dfrac{1}{2} GD}\)
\(\color{lime}{EF = \dfrac{1}{2} DC}\)
These can all be equal using transative prop. of equ.,
\(\color{cyan}{\dfrac{GF}{GC}=\dfrac{GE}{GD}=\dfrac{EF}{DC}}\)
So, your first portion would be your given values (lime)
- - - - - -
1: (lime values) | Given
- - - - - -

Now, the cyan values are done through the transative prop. of equ., so
- - - - - -
2: (cyan values) | Transative Property of Equality
- - - - - -

Finally, because of the transative prop. of equ., you can assume that side-side-side is possible, so
- - - - - -
\(\triangle GFE\) ~ \(\triangle GCD\) | SSS

Answer 4

each of the values listed inside of the dashes are what youre looking for.

Answer 5

i dont understand

Answer 6

so,

\(\color{lime}{GF = \dfrac{1}{2} GC}\), \(\color{lime}{GE = \dfrac{1}{2} GD}\), \(\color{lime}{EF = \dfrac{1}{2} DC}\) | Given

\(\color{cyan}{\dfrac{GF}{GC}=\dfrac{GE}{GD}=\dfrac{EF}{DC}}\) | Transative prop of equ.

\(\triangle GFE\) ~ \(\triangle GCD\) | SSS

Answer 7

Right! Okay thank you! Could I ask you for help with another one?

Answer 8

Sure... I'm not any good at all on it but yeah.

Answer 9

@extrinix there is my other question

Answer 10

Ok,
first off you should state your given statement,

\(\color{tomato}{\overline{YZ} \parallel \overline{UV}}\) [] Given

Now, because they are parallel we can assume alternate interior angles to be equal, so, \(\angle YVZ\) and \(\angle UZV\) are alt int angles

\(\color{yellow}{\angle YVZ = \angle UZV}\) [] If lines \(\parallel\) then alt int \(\angle\)'s \(=\)

With this, we can assume,

\(\color{lime}{\triangle XYZ \text{~} \triangle XUV}\) [] Def of similar polygons

With ALL of this, we can identify,

\(\color{cyan}{\angle YXZ = \angle VXU}\) [] Vertical \(\angle\)'s \(=\)

This makes our last step easy, with the others we gave reasoning to \(AA\), so

\(\color{violet}{\dfrac{XY}{XU} = \dfrac{YZ}{UV}}\) [] AA