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If you want to find similar triangles, use only SSS, SAS and AAA. Don't make an ASS of yourself.

In triangles \(ABC \) and \(DEF\), if we know that \( AB = EF, BC = DE \) and \( \angle ABC = \angle DEF \), are the triangles congruent?

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In the above diagram, \(x=21,\) \(y=14,\) \(\alpha={35}^\circ,\) and \(\beta={75}^\circ.\) Which condition would mean that the two triangles are similar?

**Note:** The above diagram is not drawn to scale.

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Did you know you can approximate the diameter of the moon with a coin (of diameter \(d\)) placed a distance \(r\) in front of your eye?

If the distance between the moon and your eye is \(R,\) what is the diameter of the moon?

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Triangle \(\triangle ABC\) is similar to \(\triangle DEF\), and the ratio of their areas is \(9:25.\) If the length of \(\overline{DE} \) is \(60,\) what is the length of \(\overline{AB} \)?

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