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## Comment on

Similar Triangles## Dear Brent.

First let me congratulate you for this exceptional site. All the explanations are great. Each video was made in a way that make them understandable and easy to follow. Also the site layout and the graphics of the videos have a pleasing appearance.

I have been studying during the whole summer. I began about May 23 and also I took one math class. I have been doing all of exercises from 2 ETS books. Fortunately I found your site 2 weeks ago. Since then I have being watching all your math videos. Unfortunately I don't have enough time to finished them, my test is on August 1st

I watched all videos lessons from the beginning until the 15th lesson of Geometry. Also I covered all the exercises proposed in each lesson. Are really great. Could you please give an advice to which lessons can be the most important from lesson 15th of Geometry and beyond (numbers lesson from - Integer properties,Statistics, Counting, Probability and Data Interpretation).

Thanks so much, for your help.

## Counting and Probability

Counting and Probability questions are pretty rare on the GRE. If you don't have enough time to complete all of the math lessons, I suggest that you skip those two topics, and complete the other modules (including all of Geometry)

Integer properties, Statistics and Data Interpretation are wayyyyyyyy more important (i.e., tested more often) than Counting and Probability.

## Can you explain the

## Great question!

Great question!

The methods are interchangeable. Both will yield the correct answer.

Cheers,

Brent

## Hi Brent !!

Is there a way or trick to find which two Corresponding sides / lengths would be the ratio for the two similar triangles

## When comparing any 2 similar

When comparing any 2 similar triangles, the ratio of any pair of corresponding sides is the same.

You want to know how we identify corresponding sides.

Let's say the three angles in BOTH triangles are w, x and y.

So, for EACH triangle, one side will be BETWEEN angles w and x.

Those two sides are corresponding.

Likewise, for EACH triangle, one side will be BETWEEN angles w and z.

Those two sides are corresponding.

And, for EACH triangle, one side will be BETWEEN angles x and z.

Those two sides are corresponding.

Does that help?

Cheers,

Brent

## please from this question,

## Question link: https:/

Question link: https://greprepclub.com/forum/in-the-figure-above-a-is-the-center-of-the...

Hi Angel,

This is a circle property that says "An inscribed angle that's holding a diameter will always equal 90 degrees.

This property is covered at 2:05 at https://www.greenlighttestprep.com/module/gre-geometry/video/881

Cheers,

Brent

## https://greprepclub.com/forum

Hello,

What do you mean when you say the sides are arranged in triplets ?

Thank you

## Question link: https:/

Question link: https://greprepclub.com/forum/in-the-figure-above-a-is-the-center-of-the...

I didn't use the word triplet in my solution.

However, the person who did use that word is referring to Pythagorean Triplets.

These are commonly-used lengths of right triangles.

The most common example of a Pythagorean Triplet is a 3-4-5 right triangle.

There's also a 5-12-13 right triangle (and others)

For more on Pythagorean Triplet, start watching from 3:25 in the following video: https://www.greenlighttestprep.com/module/gre-geometry/video/867

## https://greprepclub.com/forum

In this question at last will it be 20/40=25/25+y when we are relating the corresponding sides?

## Question link: https:/

Question link: https://greprepclub.com/forum/in-the-figure-above-a-is-the-center-of-the...

Question link: https://greprepclub.com/forum/in-the-figure-above-a-is-the-center-of-the...

In my solution, I'm comparing the corresponding sides of different triangles.

So, for example, the ratio 25/40 is comparing the length of the hypotenuse of one triangle to the length of the hypotenuse of the other triangle.

Likewise, the ratio 20/(25 + y) is comparing the length of one side of a triangle to the length of the corresponding side of the other triangle

With your ratio of 20/40, you are comparing the length of one triangle's LEG with the length of the other triangle's HYPOTENUSE.

This is incorrect.

Does that help?

Cheers,

Brent

## https://greprepclub.com/forum

HI Brent,

so in the aforementioned exercise we can just assume that DG=1/2DC?

## Question link: https:/

Question link: https://greprepclub.com/forum/topic17317.html

Yes, you can definitely assume that DG = 0.5(DC)