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8.7 Congruent Triangles and Properties of Parallelograms Understand definitions 1. 2. 3. 4. The sum of all of the angles of a triangle equal to _______________. The sum of all of the angles of a parallelogram equal to ______________. A diagonal of a parallelogram determines two _______________ triangles. Opposite sides of a parallelogram are _______________. Congruent triangles 5. If △ABC ≌ △ DEF. List the corresponding angles. 6. If △PQR ≌ △ STV. List the corresponding sides. 7. Identify the property for which the given triangles are congruent. SAS, SSS, ASA. A. B. C. D. 3 5 4 3 5 4 8. Identify congruent triangles. A C 8._______________ B D 9. Identify congruent triangles. 9._______________ Q T S U 10. Identify corresponding angles for figure in exercise 4. 10._______________ 11. Identify corresponding angles for figure in exercise 5. 11._______________ Use properties of parallelograms to find length of sides and angle measures 12. Find the measures of the other angles. B 12._______________ C 46 A 13. D Find the measure of the other sides. 8 S R 13._______________ 12 P Q 14. If the measure of MN=1.2 find the measure of PO. M P N O 14._______________ 15. Find the measure of angle E. 15._______________ D E 60 C F 16. Find the length of all of the sides of the parallelogram with perimeter 13. A B 16._______________ 2.5 C D 17. Find the length of all of the sides of the parallelogram with perimeter 22. K N M O 17._______________ 18. Find the length of each diagonal. AE = 12 and EB = 21. A 18._______________ B E D C 19. Find the length of each diagonal. SR= 13.5 and QR =14.25. Q P R S T 19._______________