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Triangle Classification Review Worksheet

Classify triangles by sides and angles, identify longest and shortest sides, solve algebra problems, and practice triangle proofs in this comprehensive worksheet.

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Triangle Classification Review Worksheet

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  1. Geometry/Trig 2 Name: ___________________________________ 6.4 Review Worksheet Date: ___________________________ Classify each triangle by its sides and by its angles (Review) Use for #7-12. 2. D 3. G 1. A 60° 100° 20° 45° 59° E H F I B C K 4. 5. 6. O Q 75° 42° P 30° 55° J M 125° L R N 7. In DABC which side is the longest? ________ the shortest? _________ 8. In DDEF which side is the longest? ____ Which two have the same length? __________ 9. In DGHI which side is the longest? ________ the shortest? _________ 10. In DJKL which side is the longest? ________ the shortest? _________ 11. In DMNO which side is the longest? ________ the shortest? _________ 12. In DPQR which side is the shortest? _____Which two have the same length? _________ In each triangle, name the smallest angle and the largest angle. A D I 8 10 10 15 8 12 F C G 9 B E 6 H 7 smallest smallest smallest largest largest largest

  2. Geometry/Trig 2 Name: __________________________ Unit 4 Review Worksheet Date: _________________________ Section 1: Use CPCTC to answer the following questions. P Given: DABC @DDEF 1. ÐA @ ____ 6. BC @ ____ 2. ÐE @ ____ 7. DBAC @ ____ 3. ÐC @ ____ 8. DBCA @ ____ 4. AB @ ____ 9. DDFE @ ____ 5. FD @____ 10. DEFD @ ____ 11. DLNM @ _______ 17. ÐLNM @_______ 12. ÐL @___ 18. DMLN @ _______ 13. ÐP @___ 14. LM @_____ 15. PQ @_____ 16. DNLM @ _______ L N Q M Section 2: Determine whether the triangles are congruent. If they are write the postulate that is SUPPOTTED WITH YOUR LABELS! If there is more than one way, label and list it. If they are not congruent, writ e NONE. 21. 19. 20. L P D K AC ^ DB H LM ll PN LP ll MN G C F A B J N KF ll HJ G is the midpoint of FH M Q 24. 22. 23. G X F H Y W R T S Z J V FG ll JH; FG @ JH S is the midpoint of RT A B DWYX @D____ by_____ 25. C 26. 27. D V D C T B A AD ll BC A S W B VT bisects ÐSVW CB @ DA

  3. Section 3: Solve each algebra connection problem. Answer all questions. 29. 28. A x = ___________ mÐA = ________ mÐB = ________ mÐC = __________ C 2x - 9 B 3x - 10 x = ______ mÐA = ______ mÐC =______ 104° 15x - 30 B Longest Side: ______ Shortest Side: ______ 3x + 42 10x A C Classify the triangle by its angles:___________ Classify the triangle by its sides:____________ 30. B C 102° 48° mÐA = ____________ Classify the triangle by its sides: _______________ Classify the triangle by its angles: ______________ Order the side lengths from longest to shortest: Longest: _____ Middle: _____ Shortest: ______ A Section 5: State whether the dashed line is the median, altitude, angle bisector or perpendicular bisector, or none. 32. 31. 33. 35. 36. 34. 37. 39. 38.

  4. Section 6: Find the unknown value for x. 40. 41. 42. Section 7: Proof Practice. 44. Given: D is the midpoint of AB; CA @ CB Prove: Ð1 @Ð2 43 . Given: E is the midpoint of TP and MR Prove: DTEM @DPER R C T E 1 2 P M A D B 45. Given: BA ^ YZ; BA bisects ÐYBZ Prove: DAYB @DAZB Y 1 3 B 4 A 2 Z

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