Download Section 6.5 ~ Prove Triangles Similar by SSS and SAS

Section 6.5 ~ Prove Triangles Similar by SSS and SAS
Topics in this lesson:
• SSS Similarity
• SAS Similarity
Objective: To use SSS and SAS Similarity
to identify similar triangles and find the
measurement of triangle components.
Side­Side­Side Similarity Theorem (SSS)
If the corresponding side lengths of two triangles are proportional, then the triangles are similar.
*The best way to decide similarity with SSS is to compare the shortest sides, longest sides, and remaining middle sides.
Example 1
Example 2
Find the value of x that makes ΔABC ~ ΔDEF.
Side­Angle­Side Similarity Theorem (SAS)
If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
Example 3
In the diagram, ΔACE ~ ΔDCB. Find the length of AB.
Example 4
Find the values of the variables that make ΔABC ~ ΔDEF.