It is currently 18 Oct 2017, 06:27

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure above, line m is parallel to the x-axis. If I, II and II

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128710 [0], given: 12182

In the figure above, line m is parallel to the x-axis. If I, II and II [#permalink]

### Show Tags

01 Sep 2017, 00:41
Expert's post
3
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

78% (00:27) correct 22% (00:35) wrong based on 55 sessions

### HideShow timer Statistics

In the figure above, line m is parallel to the x-axis. If I, II and III designate the respective areas of the triangles shown, which of the following is true?

(A) I > II > III
(B) II > III > I
(C) III > I > II
(D) I = III > II
(E) I = II = III

[Reveal] Spoiler:
Attachment:

2017-09-01_1133_001.png [ 10.82 KiB | Viewed 545 times ]
[Reveal] Spoiler: OA

_________________

Last edited by Bunuel on 22 Sep 2017, 11:18, edited 1 time in total.
Edited the OA.

Kudos [?]: 128710 [0], given: 12182

Director
Joined: 22 May 2016
Posts: 806

Kudos [?]: 258 [0], given: 546

Re: In the figure above, line m is parallel to the x-axis. If I, II and II [#permalink]

### Show Tags

01 Sep 2017, 09:15
Bunuel wrote:

In the figure above, line m is parallel to the x-axis. If I, II and III designate the respective areas of the triangles shown, which of the following is true?

(A) I > II > III
(B) II > III > I
(C) III > I > II
(D) I = III > II
(E) I = II = III

[Reveal] Spoiler:
Attachment:
2017-09-01_1133_001.png

Triangles have equal height

The vertices of each triangle used to determine height (with bases that lie on x), lie on line m.

Drop a perpendicular altitude from top vertex to base on x-axis, for each triangle.

Altitudes are equal: 1) all lengths of perpendicular lines between two parallel lines are equal; 2) all y-coordinates are equal; 3) all altitudes are perpendicular to bases that lie on the same straight line (x-axis).

Heights can be designated as (m - 0) = m, because both vertices of the base of all three triangles lie on the x-axis where y equals 0.

Bases are equal

The base of all three triangles is equal. Subtract the x-coordinates.
(2 - 1) = 1
(4 - 3) = 1
(7 - 6) = 1

Area of all three triangles (I, II, and III), therefore, is $$\frac{(1 * m)}{2}$$ = $$\frac{m}{2}$$

I = II = III

Kudos [?]: 258 [0], given: 546

Intern
Joined: 05 Oct 2014
Posts: 24

Kudos [?]: 12 [0], given: 88

Concentration: Finance, Entrepreneurship
Re: In the figure above, line m is parallel to the x-axis. If I, II and II [#permalink]

### Show Tags

12 Sep 2017, 12:40
The correct answer is option E. As all the triangles have same height (between m and x) and same base (1 unit), so the area is also same.

Bunuel : please change the OA after review.

Kudos [?]: 12 [0], given: 88

Intern
Joined: 06 Feb 2016
Posts: 48

Kudos [?]: 7 [0], given: 24

Location: Poland
Concentration: Finance, Accounting
GMAT 1: 730 Q49 V41
GPA: 3.5
Re: In the figure above, line m is parallel to the x-axis. If I, II and II [#permalink]

### Show Tags

22 Sep 2017, 09:30

Kudos [?]: 7 [0], given: 24

Re: In the figure above, line m is parallel to the x-axis. If I, II and II   [#permalink] 22 Sep 2017, 09:30
Display posts from previous: Sort by