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Name: Date: Geometry Chapter 4 Review 1. Classify the triangles by their sides and angles. 2. Using the triangle sum theorem and the exterior angles theorem: 3. In the diagram, ABCDE ≅ FGHIJ 4. List the theorems we’ve learned for proving that triangles are congruent. For the next section, draw a diagram for the given statement. Then write a statement that you can immediately conclude from the given. 5. Given: AT bisects MAH Statement: Reason: 6. Given: FS is perpendicular to ISH . Statement: 1. Reason: 1. 2. 2. OR 2. OR 2. 7. Given: LA || MP (use LP as a transversal) Statement: Reason: 8. Given: E is the midpoint of TA . Statement: Reason: 9. Before you can use the Hypotenuse-Leg theorem, what must you establish? 10. Use the diagram below. a. State the theorem (or postulate) that could be used to prove that the triangles are congruent. b. Write a congruence statement. c. List the pairs of corresponding parts that you could conclude are congruent after you know that the triangles are congruent. 11. Solve for the values of the missing interior angles of the triangle. Then solve for x and find the length of each side. a. mDZG = ________________________ b. mG = _________________ c. x = ________________ d. DG = _______________ e. GZ = _______________ f. ZD = _______________ 12. Find the values of x and y.