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Name_____________________________________________________ MGS21 Mrs. Montoya Hw # 2: Triangles Match the letter of the figure to the correct vocabulary word in Exercises 1–4. 1. right triangle __________ 2. obtuse triangle __________ 3. acute triangle __________ 4. equiangular triangle __________ Classify each triangle by its angle measures as acute, equiangular, right, or obtuse. (Note: Give two classifications for Exercise 7.) 5. 6. ________________________ 7. ________________________ ________________________ For Exercises 8–10, fill in the blanks to complete each definition. 8. An isosceles triangle has ____________________ congruent sides. 9. An ____________________ triangle has three congruent sides. 10. A ____________________ triangle has no congruent sides. Classify each triangle by its side lengths as equilateral, isosceles, or scalene. (Note: Give two classifications in Exercise 13.) 11. 12. ________________________ 13. ________________________ ________________________ Find the side lengths of the triangle. 14. AB ____________________ AC ___________________ BC ______________ 15. The New York City subway is known for its crowded cars. If all the seats in a car are taken, passengers must stand and steady themselves with railings or handholds. The last subway cars designed with steel hand straps were the “Redbirds” made in the late 1950s and early 1960s. The figure gives the dimensions of one of these triangular hand straps. How many hand straps could have been made from 99 inches of steel? ______________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date __________________ Class __________________ Use the figure for Exercises 16–18. Name all the angles that fit the definition of each vocabulary word. 16. exterior angle __________________ 17. remote interior angles to 6 __________________ 18. interior angle __________________ For Exercises 4–7, fill in the blanks to complete each theorem or corollary. 19. The measure of each angle of an _______________ triangle is 608. 20. The sum of the angle measures of a triangle is _______________. 21.The acute angles of a _______________ triangle are complementary. 22. The measure of an _______________ of a triangle is equal to the sum of the measures of its remote interior angles. Find the measure of each angle. 23. mB ___________________ 24. mF __________________ 25. mG ___________________ 26. mL ___________________ 27. mP ___________________ 28. mVWY _______________ 29. When a person’s joint is injured, the person often goes through rehabilitation under the supervision of a doctor or physical therapist to make sure the joint heals well. Rehabilitation involves stretching and exercises. The figure shows a leg bending at the knee during a rehabilitation session. Use what you know about triangles to find the angle measure that the knee is bent from the horizontal (fully extended) position Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date __________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date __________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry