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Geometry Review Ch. 4 Test Name: Find x in the following triangles. 1) 2) 3) 35 25 12 X 75 12 x 2x 12 For the following, assume that CBA YXZ and complete the following statements. 4) BA 5) YZ 6) AC 7) A 9) C 8) B Use the given figure to decide if the two triangles are congruent(SAS, SSS, ASA, AAS, or HL). If not congruent, state not congruent. 10) A B K C J 11) Y L Z 12) D E I F P G 13) X K N O M H J L 14) E D 15) F J G K L M For each of the following, find the value of x using properties of isosceles and equilateral triangles. 16) 17) 18) 30 16 2x + 4 3x 75 4x For each of the following, prove the given statement using a two-column, paragraph, or flow proof. 19) Given: AB AD 1 2 Prove: BC DC B 1 A C 2 D Statements Reasons 20) Given: 1 2 XY ZW Statements Reasons Prove: WXY YZW X Y 1 2 W Z 21) Given: JK MN Statements Reasons JM bisects KN 1. 1. Prove: JK MN J N 2 1 2. 3. 3. Def. of Bisector 3 L K 2. 1 3 2 4 4. 4 M 4. 5. JK MN 5. 22) Given: BD AC A C Statements Prove: AD CD B 3 4 A 1 2 D C Reasons 1. 1. Given 2. 1 and 2 are right 2. 3. 3. All right angles . 4. 4. Given 5. 5. 6. 6. 7. AD CD 23) Given and 24) State whether and 7 and are congruent. Justify your answer with all possible reasons. 7 25) Find x and y in the following. A y° x° , find x and 7. 34° B D C Drawing not to scale S | | 26) Find the value of x. (3 x – 50)° (7 x )° R T U C 27) Complete the proof by providing the missing reasons. Given: Prove: D , B Statement 1. E Reason , 1. Given , and 2. 3. 4. 5. are right angles A 2. Definition of perpendicular segments 3. _________________ 4. _________________ 5. _________________ Use the given figure to decide if the two triangles are congruent(SAS, SSS, ASA, AAS, or HL). If not congruent, state not congruent. B 28. 29. 30. Q S M J K L T 31. P J 32. U D A H R V W 33. F L 34. T Y M G 35. K X S J M G 36. U H E D N K C H D E G F V L T W