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Print Name _______________________________________________ Period ____ Sections 6-7 Triangles - FSQ Review Worksheet 1. Find the value of x and y. 2. What is the measure of each angle? 3. Segment TU is the midsegment of ΔYOL. ⅃ Write an equation to show how to find the value of x, and solve it. 4. Given the graph below, find the value of x given the midsegment equals 3(x+5). M 90 3(x+5) E W 5. WX is the the angle bisector of ∠ TWY and ∠YXT. If Jason stated ∠TWX was congruent to ∠YWX, What would be his reasoning? A. B. C. D. Corresponding angles are congruent Reflexive property of congruence Definition of angle bisector Alternate interior angles are congruent 6. Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use. 7. △TWX is a reflection of △YWX. Based on the reflection, which is the best way to prove the triangles congruent? A. B. C. D. SAS ASA SSA HL 8. Two sides of a triangle are given. Write an inequality for the possible lengths of the third side. i) 11, 13 ii) 15, 6 iii) 18, 10 iv) 9, 3 9. Tell whether each set of side lengths can be used to create a triangle. Circle Yes or No for each set. i) 20, 8 and 12 Yes No ii) 9, 3 and 7 Yes No iii) 6, 11 and 3 Yes No iv) 10, 10 and 6 Yes No 10. Name the largest and smallest angle in 𝛥𝑹𝑺𝑻 given the following information. Draw a diagram to support your answer. Given: ST = 7, RT = 14, RS = 9 Largest Angle: Smallest Angle: 12. Name the longest and shortest side in the triangle shown below. Longest Side: Shortest Side: Draw and find the area of the figure. 13. A(3,1) B(7,-3) C(5,-6) D(1,-2) 14. 15. 16. 17. 18. 17. 19. 20. 21. 22. There are three light posts at the vertices of a triangular park. You want one more placed near the center so that it is the same distance from each edge of the park. Where should you place the light post? 23. Find the perimeter of the following figure. Leave answer in radical form.