SAS Similarity Theorem

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

Information: SAS Similarity Theorem