Question: Name Class . Date 4-1 Congruent Figures Assignment Each pair of polygons is congruent. Find the measures of the numbered angles. Use the diagram at

Name Class . Date 4-1 Congruent Figures Assignment Each pair of polygons is congruent. Find the measures of the numbered angles. Use the diagram at the right for Exercises 3-7. AABC = AXYZ. Complete the congruence statements. 3. AB= 4. ZY = 5. ZZ = 6. ZBAC= 7. LB = FOUR = MANY. List each of the following. 8. four pairs of congruent angles 9. four pairs of congruent sides For Exercises 10 and 11, can you conclude that the figures are congruent? Justify your answers. 10. ASRT and APRO 11. AABC and AFGH 12. Given: AD and BE bisect each other. AB = DE; ZA= ZD Prove: AACB = ADCE Statements Reasons 1) AD and BE bisect each other. 1) Given AB = DE. ZA= LD 2) AC = CD, BC = CE 2) 3) ZACB = LDCE 3) 4) ZB = ZE 4) 5) AACBEADCE 13. If AABC = AJKL, which of the following must be a correct congruence statement? A LA= LL C ZB = LK BABE JL D ABAC = ALKJ 14. Reasoning A student says she can use the information in the figure to prove AACB = AACD . Is she correct? Explain. Algebra Find the values of the variables. 15. AXYZ = AFED 16. AABD = ACDB B 75 x 9in. Y E 3x in. F Algebra AFGHAN. Find the measures of the given angles or the lengths of the given sides. 17. mZF = x + 24; mZQ = 3x 18. GH = 3x - 2; RS=x +6

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