Hello! Today, I talk through how to solve this tricky-looking geometry question. If you have any questions for us or suggestions for future video topics, let us know in the comments below. Enjoy!

## GMAT Tuesdays with Kevin: GMAT Quant Challenge Question

## Angles and Parallel Lines on the GMAT

First, a couple of relatively easy practice problems. 1) In the diagram above, what is the measure of angle y? Statement #1: x = 30° Statement #2: line AB is parallel to line CD 2) In the diagram above, line m and line n are parallel. Given that angle a = 40° and angle c […]

## GMAT Math: How do You Find the Height of a Triangle?

Suppose you have a triangle with sides {6,7,8} — how do you find the height? This is a question some GMAT test takers ask. They know they would need the height to find the area, so they worry: how would I find that height. The short answer is: fuhgeddaboudit! Which height? First of all, […]

## GMAT Math: Similar Shapes

Some GMAT students who struggle with geometry find similar shapes confusing. I’ll try to clear that confusion up now. First, though, a couple tricky practice questions involving geometric similarity. 1) In the diagram above, BC is parallel to DE, DE = 20, and AC = CE = 6. What is the length of AB? 7 […]

## Geometric Probability on the GMAT

In the first three articles in this series on GMAT probability questions, I discussed the AND and OR probability rules, ”at least” probability questions, and probability questions that involve counting. This post covers relatively rare kind of probability question not covered in the first three posts: geometric probability questions. First, a few challenging practice GMAT […]

## Slicing up GMAT Circles: Arclength, Sectors, and Pi

Few topics perplex students like circles on the GMAT. “What was the formula for area of a circle, again? I know pi is in there somewhere!” With a few simple insights, though, this entire topic simplifies. First, let’s look at a problem. How do you find the do calculations for something like this? Given that […]

## Re-thinking Pythagoras: Is a triangle obtuse?

The Pythagorean Theorem is one of the most remarkable theorems in all of mathematics. It has a treasure trove of ramifications up its sleeve, any one of which could provide you with invaluable help on the GMAT Quantitative section. For example, consider this practice problem. 1) Consider the following three triangles I. a triangle with […]

## GMAT Math: Midpoints and Parallel vs. Perpendicular lines

First, a few practice questions. 1) Line A has the equation 3x + y = 7. Which of the following lines is perpendicular to Line A? y = 3x + 4 y = –3x – 6 y = (1/3)x – 1 y = (–1/3)x + 2 y = (–7/3)x – 5 2) Line P has […]

## Pythagorean Triplets to Memorize for the GMAT

Learn the most common solutions to the Pythagorean Theorem There aren’t many numbers you need to memorize for success on the GMAT Quantitative section, but knowing a few key Pythagorean triplets will save you a ton of time. First, try these GMAT practice question: remember: no calculator! 1) In right triangle ABC, BC = 48 […]

## GMAT Data Sufficiency: Congruence Rules

Learn how to use these formal Geometry rules to your advantage on the GMAT Data Sufficiency section! A reminder about Data Sufficiency If this question format is new to you, read this post. If you have done DS questions for a while, it’s still worthwhile to remind yourself of the basics. You don’t actually […]

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