BB #20 on p796

Test Preparation SAT Preparation
1

<p>Diagram looks something like:</p>

<h2>A______B</h2>

<p>\ ___<strong><em>\
\ _</em></strong><strong>\

D</strong>______C</p>

<p>(ignore underscores, they're there for spacing purposes)</p>

<p>A parallelogram essentially, they also have the line BD drawn diagnolly across.</p>

<p>The question is: If the five line segments in the figure are all congruent, what is the ratio of the length of AC to the length of BD?</p>

<p>I don't understand how we can come across an answer without knowing atleast some values, wouldnt the ratio change depending on the stretch/shrink factor?</p>

<p>This is in the consolidated list but I don't really understand the one solution that was given.</p>

2

<p>draw a line from A to C and it forms 4 (30,60,90) triangles.</p>

<p>30:x
60: x(square root of 3)
90:2x</p>

<p>answer B</p>

3

<p>Ohh, so its 2x(root 3) / 2x leaving root 3. I made the problem much harder than it actually was, thanks!</p>

4

<p>The way I did it was...</p>

<p>I drew a line from A to C</p>

<p>You know AD is 5 so halfway between DB is 2.5 and halfway between AC is 2.5rt (3) so AC is 2(2.5 rt(3))= 5rt(3)</p>

<p>Ratio of 5rt(3):5 = 5rt(3)/5= rt(3):1, answer B</p>