Question

state if the triangles in each pair are similar. if so, state how you know they are similar and complete the similarity statement.
20)
△klm∼
a) similar; sas similarity; △dce
b) not similar
c) similar; aa similarity; △cde
d) similar; sas similarity; △dec

Explanation:

• For triangle similarity, AA (Angle - Angle) similarity states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
• In \(\triangle KLM\) and \(\triangle CDE\), we can observe that two pairs of angles are equal.
• The order of the letters in the similarity statement \(\triangle KLM\sim\triangle CDE\) is based on the correspondence of the equal angles.

Answer:

C. similar; AA similarity; \(\triangle CDE\)