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Informal Geometry Chapter 2 Review Name: Date: GO OVER VOCAB, DEFINITIONS, THEOREMS, POSTULATES, AND PROPERTIES!!! 1. A is the midpoint of BC. AB = 3x +7 and AC = 17 – x. Find the value of x. 2. P is the midpoint of ST. ST = 45. If SP = 2x and PT = 13 + 4x, find the value of x, SP, and PT. 3. DF is bisected at point E, and DF = 18. What do you know about the lengths of DE and EF. 4. B is the midpoint of AC. AC = 36. Find the value of x. A B C 2x + 4 5. R is the midpoint of QS. QR = d + 4 and RS = 3d. Find the value of d. 6. Find the coordinates of the midpoint of AB given A(1, -3) and B(-1, 6) 7. T or F…If AB is congruent to CD, then CD is congruent to AB 8. T or F…If AB is congruent to BC, the B is the midpoint of AC 9. T or F…If RS bisects TU, the RS = TU 10. Use the given diagram. If RV bisects QRT , QRT and TRS form a linear pair, and mVRT 35 , find mQRT and mTRS 11. If m 1 = 2x and m 2 = 4x. Find the value of x if 1 and 2 are complementary. 12. Name 2 angles that form a linear pair. 13. Name two angles that are adjacent to MRN . 14. If m 1 = 40, find the supplement of 1. 15. If m 2 = 31, find the complement of 2. 16. Find the value of x. 17. Find the value of n. Directions: If needed, re-write each statement as an if-then statement. Then, identify the hypothesis and conclusion in the statements by underlining the hypothesis once and the conclusion twice. 18. If today is Wednesday, then tomorrow is Thursday. 19. The St. Louis Cardinals will win the World Series if they beat the Texas Rangers. Directions: Rewrite each statement as an if-then statement. 20. Linear pairs are supplementary. __________________________________________________________________________________ 21. You live in Illinois if you live in Chicago. __________________________________________________________________________________ Directions: State the property that justifies each statement. 22. If m4 35 and m5 35 , then m4 m5 . 23. If x + 5 = 20, then x = 15. 24. If m1 m2 , then m2 m1. 25. AC = AC 26. If m1 m2 180 and m1 56 , then 56 m2 180 . 27. Given: A is the midpoint of MT and T is the midpoint of AH, show that MA = TH. Fill in the missing pieces to this proof. M A T H Logical Reasoning MA = AT Definition of a AT = TH Definition of a MA = TH Property of Equality