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GEOMETRY Unit 9, Similarity Name ________________________ Conjecture Sheet 9-3, AA Conjecture Date __________ Period _________ Angle-Angle (AA) Conjecture In order for two polygons to be similar, what two things must be true (Hint: Check your notes)? 1) _________________________________________________ 2) _________________________________________________ Open the GeoGebra applet for “GG-AA Similarity Conjecture”. Adjust the scale factor to answer the following questions: 1. Set the scale factor to 2. Are the two triangles similar? _____ Explain (in words) how you know this (Hint: What two things must be true?): What calculations would you need to show to prove this? 2. Set the scale factor to 1.6. Are the two triangles similar? _____ Explain (in words) how you know this (Hint: What two things must be true?): What calculations would you need to show to prove this? 3. Set the scale factor to .8. Are the two triangles similar? _____ Explain (in words) how you know this (Hint: What two things must be true?): What calculations would you need to show to prove this? Complete the following conjecture about the two triangles with two pairs of corresponding angles congruent: If two angles of one triangle are congruent to two angles of another triangle, then _________________________________________________________________.
