PLEASE HELP!!!: In order to have the following triangles similar, which condition is necessary?
http://assets.openstudy.com/updates/attachments/4e24569b0b8b3d38d3b71968-chris%2Bparks-1311004335836-319.gif
1-mK = 80
2-mP = 40
3-DQ = 7.25
4-DP = 11

Question

PLEASE HELP!!!: In order to have the following triangles similar, which condition is necessary?
http://assets.openstudy.com/updates/attachments/4e24569b0b8b3d38d3b71968-chris%2Bparks-1311004335836-319.gif
                1-mK = 80
		2-mP = 40
		3-DQ = 7.25
		4-DP = 11

mertsj · Answer

1 and 2

anonymous · Answer

they only want one so i dont think that i can choose two

mertsj · Answer

Well for the triangles to be similar the angles have to be congruent.  So take your pick.

directrix · Answer

3-DQ = 7.25
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We already know that angle K has measure 80 because two of the angles of that triangle are given.

To get the triangles similar by SAS Similarity, we need DQ = 7.25.

That fulfills the proportion DQ /5 = 12/8

mertsj · Answer

SAS is a congruency property.

mertsj · Answer

The triangles are clearly not congruent.

anonymous · Answer

thank you all!:)

mertsj · Answer

Anyway 60/8=7.5 not 7.25

directrix · Answer

SAS Similarity Theorem
 
 This theorem states that if an angle of one triangle is congruent to an angle of another triangle and the sides including though angles are in proportion, then the triangles are similar. 
 
@Mertsj