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# Line segments AB and CD are of equal length and perpendicula

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Manager
Joined: 15 Aug 2013
Posts: 227
Line segments AB and CD are of equal length and perpendicula  [#permalink]

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Updated on: 15 Sep 2013, 12:44
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Difficulty:

5% (low)

Question Stats:

86% (00:59) correct 14% (01:14) wrong based on 199 sessions

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Line segments AB and CD are of equal length and perpendicular bisectors of one another. If a line segment is drawn connecting point A to point C, what is the measure of angle ACD?

A. 0°
B. 45°
C. 60°
D. 90°
E. 180

How can we assume that it's a 45.45.90 and not a 30.60.90? Latter would create ambiguity b/w choosing 30 or 60?

Originally posted by russ9 on 15 Sep 2013, 12:33.
Last edited by Bunuel on 15 Sep 2013, 12:44, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 59655
Re: Line segments AB and CD are of equal length and perpendicula  [#permalink]

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15 Sep 2013, 12:51
russ9 wrote:
Line segments AB and CD are of equal length and perpendicular bisectors of one another. If a line segment is drawn connecting point A to point C, what is the measure of angle ACD?

A. 0°
B. 45°
C. 60°
D. 90°
E. 180

How can we assume that it's a 45.45.90 and not a 30.60.90? Latter would create ambiguity b/w choosing 30 or 60?

A perpendicular bisector is a line which cuts a line segment into two equal parts at 90°.

Look at the diagram below:
Attachment:

perpendicular.png [ 1.96 KiB | Viewed 10384 times ]
Angle ACD = 45°.

Hope it's clear.
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Posts: 13735
Re: Line segments AB and CD are of equal length and perpendicula  [#permalink]

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21 Apr 2018, 20:28
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Re: Line segments AB and CD are of equal length and perpendicula   [#permalink] 21 Apr 2018, 20:28
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