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Similar Triangles 8.3. homework. Identify similar triangles. Learn the definition of AA, SAS, SSS similarity. Use similar triangles to solve problems. homework. homework. homework. Explain why the triangles are similar and write a similarity statement.
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homework • Identify similar triangles. • Learn the definition of AA, SAS, SSS similarity. • Use similar triangles to solve problems.
homework Explain why the triangles are similar and write a similarity statement. BCA ECD by the Vertical Angles Theorem. Also, A D by the Right Angle Congruence Theorem. Therefore ∆ABC ~ ∆DEC by AA Similarity.
homework Explain why the triangles are similar and write a similarity statement. D H by the Definition of Congruent Angles. Arrange the sides by length so they correspond. Therefore ∆DEF ~ ∆HJK by SAS Similarity.
homework Explain why the triangles are similar and write a similarity statement. Arrange the sides by length so they correspond. Therefore ∆PQR ~ ∆STU by SSS similarity.
homework Explain why the triangles are similar and write a similarity statement. TXU VXW by the Vertical Angles Theorem. Arrange the sides by length so they correspond. Therefore ∆TXU ~ ∆VXW by SAS similarity.
homework Explain why the triangles are similar and write a similarity statement. By the Triangle Sum Theorem, mC = 47°, so C F. B E by the Right Angle Congruence Theorem. Therefore, ∆ABC ~ ∆DEF by AA Similarity.
homework Determine if the triangles are similar, if so write a similarity statement. By the Definition of Isosceles, A C and P R. By the Triangle Sum Theorem, mB = 40°, mC = 70°, mP = 70°, andmR = 70°. Therefore, ∆ABC ~ ∆DEF by AA Similarity.
homework Explain why ∆ABE ~ ∆ACD, and then find CD. Prove triangles are similar. A A by Reflexive Property, and B C since they are right angles. Therefore ∆ABE ~ ∆ACD by AA similarity. x(9) = 5(12) 9x = 60
homework Explain why ∆RSV ~ ∆RTU and then find RT. Prove triangles are similar. It is given that S T. R R by Reflexive Property. Therefore ∆RSV ~ ∆RTU by AA similarity. RT(8) = 10(12) 8RT = 120 RT = 15
Since because they are alternate interior angles. By AA Similarity, ΔRSQ ~ ΔTUQ. Using the definition of similar polygons, Given RS || UT, RS = 4, RQ = x + 3, QT= 2x + 10, UT = 10, find RQ and QT. RQ = 8; QT = 20
100 35 45 homework Determine if the triangles are similar, if so write a similarity statement. Find the missing angles. Check for proportional sides. AA Similar AEZ ~ REB SAS Similar AGU ~ BEF Check for proportional sides. Check for proportional sides. SSS Similar ABC ~ FED Not Similar
Vertical angles. Alternate Interior angles. 120 45 Find the missing angles. homework Determine if the triangles are similar, if so write a similarity statement. Check for proportional sides. Sides do not correspond. AA Similar FGH ~ KJH Not Similar. Not Similar. Check for proportional sides. Check for proportional sides. Not Similar. Not Similar. Not Similar.
homework Given ABC~EDC, AB = 38.5, DE = 11, AC = 3x + 8, and CE = x + 2, find AC and CE. • A • B • C • D CE = x + 2 AC = 3x + 8 AC = 2 + 2 AC = 3(2) + 8 AC = 14 AC = 4
homework Each pair of triangles below are similar, find x.
Assignment Section 11 – 36