Question

I need help with this Geometry PLEASE.

I'm not asking for just the answer but how to go about finding it.

I will Fan and Medal Best responders

Answer 1

Ok

Answer 2

What's the question?

Answer 3

Here is the question @lexiladybug22 @Here_to_Help15

Answer 4

Connections?

Answer 5

Yes

Answer 6

@Here_to_Help15 are you in geometry B? and do you know this lesson?

Answer 7

Ok good um i need help actually ;) and yes i am

Answer 8

Dang lol you on the final to?

Answer 9

Nope

Answer 10

oh well that is what this is.

Answer 11

which part are you working on ?

Answer 12

@ganeshie8 all three

Answer 13

check whether the below proportion holds\[\large \dfrac{AC}{EC}~~\stackrel{?}{=}~~\dfrac{BC}{DC}\]

Answer 14

\[\large \dfrac{12}{9}~~\stackrel{?}{=}~~\dfrac{20}{15}\]

\[\large \dfrac{4}{3}~~\stackrel{?}{=}~~\dfrac{4}{3}\]

which is true, therefore \(\triangle ABC \sim \triangle EDC\) is true

Answer 15

Just like there is SAS for proving two triangles congruent, there is a version of SAS for proving two triangles similar.
SAS Similarity is: if the lengths of two sides of a triangle are proportional to corresponding parts of another triangle, and the included angles are congruent, then the triangles are similar.

Answer 16

Above, @ganshie8 showed that the lengths of the sides are proportional.
From the figure, you see that angles ACB and ECD are vertical, making them congruent.
This is what you need for SAS Similarity to work, and the triangles are similar.

Answer 17

@mathstudent55 so using SAS similarity is ow I find out that problem?

Answer 18

Using SAS Similarity allows you to answer part (A).
You can say that the triangles are similar, and the reason is SAS Similarity, since there is a pair of congruent corresponding angles, and this pair of angles are included by two pairs of corresponding sides whose lengths are proportional.
All of this is part (A).

Answer 19

what about part (B) and (C)? @mathstudent55