Transcript Warm-up
8.5 Indirect Measurement and Additional Similarity Theorems Warm-up Solve for x 1. x x+6 2. 12 x-3 x+1 x 10 4 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 8-5 Similarity Theorems Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 1. Find x 40 36 65 x Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 2. Find x A x B 75 E 25 C 90 D Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 8.5 Indirect Measurement and Additional Similarity Theorems Theorems Proportional Altitudes Theorem: If two triangles are similar, then their corresponding altitudes have the same ratio as their corresponding sides. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 3. Given the triangles are similar, solve for x 6 9 5.25 4 6 x Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 8.5 Indirect Measurement and Additional Similarity Theorems Theorems Proportional Medians Theorem: If two triangles are similar, then their corresponding medians have the same ratio as their corresponding sides. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 4. Solve for x 12 5 x 4 9 7 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 8.5 Indirect Measurement and Additional Similarity Theorems Theorems Proportional Angle Bisectors Theorem: If two triangles are similar, then their corresponding angle bisectors have the same ratio as their corresponding sides. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 8.5 Indirect Measurement and Additional Similarity Theorems 5. Estimate the width of the lake. x 105 40x = 7875 x = 196.9 = 75 40 Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 8.5 Indirect Measurement and Additional Similarity Theorems 6. These triangles are similar. Find x. 12 8 12x = 72 x = 6 feet = 9 x Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 8.5 Indirect Measurement and Additional Similarity Theorems 7. Given angle A and angle B are right angles Prove: AE BD AC BC A B C D E Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Assignment Page 537 # 5-20, 26, 27-33 all write out entire proof for #27-33 Copyright © by Holt, Rinehart and Winston. All Rights Reserved.