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Download Lesson 3.04 KEY Main Idea (page #) DEFINITION OR SUMMARY
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Transcript
Lesson 3.04 KEY Main Idea (page #) DEFINITION OR SUMMARY Similar (P1) Figures that have the same shape, but different sizes EXAMPLE or DRAWING Symbol is ____~______ When the corresponding angles of two or more triangles are Angle-Angle Similarity Postulate congruent, the triangles are similar (P2). Order is important when you talk about congruency. It is Corresponding Parts (P1-2) even more important when you discuss similarity. Orientation (P2) THEOREMS to identify Similar Figures 1) Side-Angle_Side Similarity Postulate (SAS) (P3) The positioning of the figures If corresponding angles are equal in two or more triangles, and the sides around that angle have the same simplified fraction, then the triangles are similar. If all three corresponding sides of two or more similar 2) Side-Side-Side Similarity Theorem (SSS) triangles have the same simplified fraction then the triangles are similar. (P5) Saying ΔABC ~ ΔDEF is not the same as saying ΔABC ~ ΔDFE. Lesson 3.04 KEY Look for a segment in the middle of the triangle. Is that Triangle Proportionality Theorem (P7) segment parallel to one of the sides? If so, the segments on the two sides of the triangle can be written as a proportion. Central Similarity (pg. 9) 1) Triangle Altitude Similarity Theorem If two triangles are similar, the corresponding altitudes are proportional to each set of corresponding sides. If two triangles are similar, the corresponding medians are 2) Triangle Median Similarity Theorem proportional to each set of corresponding sides. If two triangles are similar, the corresponding angle bisectors 3) Triangle Angle Bisector Similarity Theorem are proportional to each set of corresponding sides. When two triangles are similar, the perimeters are 4) Proportional Perimeter Theorem proportional to their corresponding sides.