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Unit 5 Review Quadrilaterals

Unit 5 Review Quadrilaterals. HW answers p. 192. 12 11. x=10, 40, 40, 140, 140 19 12. AD = ½ BE 15 13. BE = ½ (AD+CF) 5 14. 14, 21 9 15. 13, 39 5 16. 6, 18 4 17. 9, 15 5 21. rectangle 6 22. rhombus 57, 123, 123 23. rhombus. HW answers p. 538

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Unit 5 Review Quadrilaterals

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  1. Unit 5 Review Quadrilaterals

  2. HW answers p. 192 • 12 11. x=10, 40, 40, 140, 140 • 19 12. AD = ½ BE • 15 13. BE = ½ (AD+CF) • 5 14. 14, 21 • 9 15. 13, 39 • 5 16. 6, 18 • 4 17. 9, 15 • 5 21. rectangle • 6 22. rhombus • 57, 123, 123 23. rhombus • HW answers p. 538 • OP and NQ are bases- they must be parallel - Slope OP = slope NQ = 2/3 ; the legs must be congruent -NO=QP = √26; • and the legs cannot be parallel – slope NO = 5, slope QP = -1/5 • b. Diagonals NP = QO = √65

  3. 1. S K R Given: PQRS; PJ  RK 2 Prove: SJ  QK 1 P Q J Statements Reasons • PQRS; PJ  RK; 1 • SP RQ 2. • P  R 3. •  SPJ   QRK 4. • SJ  QK 5.

  4. 1. S K R Given: PQRS; PJ  RK 2 Prove: SJ  QK 1 P Q J Statements Reasons • PQRS; PJ  RK; 1. Given • SP RQ 2. Opposite sides of a are  • P  R 3. Opposite angles of a are  •  SPJ   QRK 4. SAS • SJ  QK 5. CPCTC

  5. 2. B C Given: ABCD; CD  CE Prove: A  E 2 1 A E D Statements Reasons • ABCD; CD  CE 1. • 1  E 2. • BA // CD 3. • A  1 4. • A  E 5

  6. 2. B C Given: ABCD; CD  CE Prove: A  E 2 1 A E D Statements Reasons • ABCD; CD  CE 1. Given • 1  E 2. Isosceles Triangle Them • BA // CD 3. Opp sides of a are // • A  1 4. // lines form  corr. Angles • A  E 5. Substitution

  7. 3. T S Given: TS  QR; TQ  SR 3 2 Prove: Quad QRST is a 1 4 Q R Statements Reasons • TS  QR; TQ  SR 1. • QS  QS 2. • STQ   QRS 3. • 1 2; 3 4 4 • SR// TQ; ST// QR 5 • Quad QRST is a 6

  8. 3. T S Given: TS  QR; TQ  SR 3 2 Prove: Quad QRST is a 1 4 Q R Statements Reasons • TS  QR; TQ  SR 1. Given • QS  QS 2. Reflexive • STQ   QRS 3. SSS • 1 2; 3 4 4. CPCTC • SR// TQ; ST// QR 5. If 2 lines are cut by a transversal and form  alt int s, then the lines are // • Quad QRST is a 6. If both pair of opp sides are //, then the quad is a

  9. 5. B A Given: ABZY; ZY  BX; 1  2 Prove: ABZY is a rhombus 1 2 3 X Y Z Statements Reasons • ABZY; ZY  BX; 1  2 1. Given • BX  BZ 2. • ZY  BZ 3 • ABZY is a rhombus 4.

  10. 5. B A Given: ABZY; ZY  BX; 1  2 Prove: ABZY is a rhombus 1 2 3 X Y Z Statements Reasons • ABZY; ZY  BX; 1  2 1. Given • BX  BZ 2. Isosceles Triangle Them • ZY  BZ 3. Substitution • ABZY is a rhombus 4. A parallelogram with congruent consecutive sides

  11. 6. B A Given: ABZY; AY  BX Prove:1  2; 1   3 1 2 3 X Y Z Statements Reasons • ABZY; AY  BX 1. Given • AY  BZ 2. • BX  BZ 3. • 1  2 4. • 3  2 5. • 1  3 6. Substitution

  12. 6. B A Given: ABZY; AY  BX Prove:1  2; 1   3 1 2 3 X Y Z Statements Reasons • ABZY; AY  BX 1. Given • AY  BZ 2. Opp sides of a p-gram are  • BX  BZ 3. Substitution • 1  2 4. Isosceles Triangle Theorem • 3  2 5. // lines form  corr. Angles • 1  3 6. Substitution

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