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Geometry Chapter 4 Practice Test Name: 1. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 30 degrees and its 2 congruent sides measure 16 units? 2. Classify LMN. 3. Use information in the figure below to find mE. 4. Find the value of x. ____ 5. Which triangles are congruent? Why? 6. Find the value of x. 7. . Name the theorem or postulate that justifies the congruence. Write the converse of the following statement(s). Then tell whether the converse is True or False. 8. If a triangle has three congruent angles, then it is equilangular. 9. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures. 10. What is the value of z? (The figure may not be drawn to scale.) 11.Find the value of x. 12. Solve for x. The expressions given represent the measures of the acute angles of a right triangle. Find the measure of each acute angle. Draw a triangle to help visualize the problem. 13. 14. Given: ABC is an equilateral triangle; D is the midpoint of Prove: ABD CBD Statement 1. ABC is an equilateral triangle Reason 1. 2. AB CB 2. Definition of equilateral 3. D is the midpoint of AC 3. 4. 4. Definition of midpoint 5. BD BD 5. 6. ABD CBD 6. 15. In the diagram, 20. Find the values of x and y. . Explain why . 16. Would HL, ASA, SAS, AAS, or SSS be used to justify that the pair of triangles is congruent? 17. Is there enough information given to prove that the following pairs of triangles are congruent? Why? 18. Given: Prove: Statements 1. AB DE Reasons 1. 2. B E 2. 3. ACB DCE 3. 4. ABC DEC 4. 19. Complete the reasons of this proof. Given: || ; Prove: ABE DBC Statements 1. AE DC AB DB Reasons 1. 2. A D 2. 3. ABE DBC 3. 4. ABE DBC 4.