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Name______________________________________________Per______________Date____________________________ Geometry Ch. 4 Review Find the measures of the sides of ΔMNP and classify the triangle by its sides. 1. M(-‐3,2), N(2,1), P(-‐2,-‐3) 2. M(5,-‐3), N(3,4), P(-‐1,1) Is there enough information to determine triangle congruency. Determine how you can prove congruency (ASA, SSS, etc). 3. 5. 4. 6. 8. Write a triangle congruence statement, name the congruent angles and sides. 7. Find the measure of each angle. 58° 1 39° 55° 2 3 9. ΔABC ≅ Δ______. 10. If BCDE is congruent to OPQR, then 11. If a. is congruent to , which of the following can you NOT conclude as being true? b. c. d. 12. The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale. 13. Given and 14. Given , find the length of QS and TV. and 15. What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate? 17. From the information in the diagram, can you prove ΔFDG ≅ ΔFDE ? € , find and 16. Name the angle included by the sides and 18. For which situation could you prove using the HL Theorem? 19. Explain how you can use SSS, SAS, ASA, or AAS with CPCTC to prove that 20. Triangle ABC is an equilateral triangle. AD bisects ∠BAC . DC = 6x, AB = 8x+12, and ∠BAD = 3y. Find x and y. . 21. Find the values of x and y. 22. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units? 23. Triangle MNP is an isosceles triangle. M N ≅ NP . NP = 2x+20, M N=5x+5, and P M=8x-2. Find x and the measure of each side of the triangle. 24. The measure of the angles of ΔJKL are 18x-12, 10x+20, and 15x. Draw a figure to illustrate ΔJKL, find x, and the measure of each angle. 25. What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°? 26. In an A-frame house, the two congruent sides extend from the ground to form a 34° angle at the peak. What angle does each side form with the ground? 27. Find the value of x. 28. Find the value of x. Diagram is not to scale. The diagram is not to scale. Given: ,