SAS Similarity Theorem
SAS Similarity Theorem
This applet illustrates what it means for two figures to be similar by SAS Similarity Theorem.
SAS Similarity Theorem: If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, then the triangles are similar.
Given: Two triangles ABC and DEF such that angle A equals angle D, and CA/FD equals AB/DE.
Prove: Triangle ABC Triangle DEF
Activity:
Test for Similarity. Use the applet to explore the properties of SAS Similarity Theorem and answer the following processing questions.
a) What are the given pieces of information given on the triangles?
b) What are the green and red slider bars change?
c) What is additional information to know to show without a doubt the two triangles are similar?
d) Click the check box on Show Side Lengths, what did you notice?
e) Click the check box on Show Ratios, what did you notice?
f) What can you say about the scale factor of the two triangles?
g) Are the triangles similar? Why?
h) What could our shortcut leads?