Determine if the triangles are similar. If they are, complete the similarity statement and indicate the theorem that proves similarity. If they are not similar, select "not similar" for both entries. △LNM∼△? by ?

Question

Determine if the triangles are similar.  If they are, complete the similarity statement and indicate the theorem that proves similarity.  If they are not similar, select &quot;not similar&quot; for both entries.    △LNM∼△? by ?

wornoutwomanC · Accepted Answer

Step 1 Given  The triangle △LNM &amp;amp; △LQP and the sides are given to us is   MN=8  PQ=12  LN=10  NQ=5  Step 2  First, we will take two triangles △LNM &amp;amp; △LQP and seeing  MNPQ=812=23  LNLQ=LNLN+NQ=1010+15=1015=23  We can see that the ratio are equal so,  MNPQ=LNLQ=23  And we can see that ∠L is common in both triangles   Step 3  Therefore, we can see that 2 sides and 1 angle is used in the similarity of the triangles.   Hence, we can say that by SAS similarity is used to show 2 triangles similar.   so,  △LNM∼△LQP

Determine if the triangles are similar \triangle LNM\sim \triangle

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