* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Guided Notes - Proving Triangles are Similar
Survey
Document related concepts
Euler angles wikipedia , lookup
Dessin d'enfant wikipedia , lookup
Line (geometry) wikipedia , lookup
Penrose tiling wikipedia , lookup
Technical drawing wikipedia , lookup
Rational trigonometry wikipedia , lookup
Noether's theorem wikipedia , lookup
Riemann–Roch theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
Apollonian network wikipedia , lookup
Brouwer fixed-point theorem wikipedia , lookup
Four color theorem wikipedia , lookup
History of geometry wikipedia , lookup
Euclidean geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Transcript
Geometry Guided Notes Proving Triangles are Similar Name: _____________________________ Date: __________________ Period: _____ _____________________ Similarity Postulate - if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Examples of AA Similarity Postulate Decide whether the triangles are similar, not similar or cannot be determined. Which triangles are similar to ΔABC? Explain. 7. a. b. c. _______________________ Similarity Theorem - If corresponding sides of two triangles are proportional, then the two triangles are similar. Examples of SSS Similarity Theorem Decide whether the triangles are similar, not similar or cannot be determined. (smallest to smallest, medium to medium, largest to largest) Geometry Guided Notes Proving Triangles are Similar Name: _____________________________ Date: __________________ Period: _____ Which triangles are similar to ΔABC? Explain. 1. a. b. c. ________________________ Similarity Theorem - If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar. Examples of SAS Similarity Theorem Which triangles are similar to ΔABC? Explain. 3. a. b. c. Putting it all together Determine whether the triangles are similar. If they are write the similarity statement and state the postulate or theorem. Geometry Name: _____________________________ Guided Notes Proving Triangles are Similar Date: __________________ Period: _____ Determine whether the triangles are similar. If they are write the similarity statement and state the postulate or theorem. You are given the ratios of the lengths of the sides of DABC and DDEF. Choose the cases where ΔABC ~ ΔDEF. ΔABC 4 : 8 : 10 Solve for x. Determine if the triangles are similar and state the postulate or theorem that justifies your answer. If the triangles are similar, find the value of x. All lengths are in centimeters and diagrams are not drawn to scale.