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Name _______________________________________ Date ___________________ Class __________________ 4.9 Practice Isosceles and Equilateral Triangles Name the parts of the figure that match the vocabulary words. 1. base:________ 2. legs: ________ and ________ 3. base angles: ________ and ________ 4. vertex angle: ________ Fill in the blanks in Exercises 5–8 to complete each theorem. 5. If a triangle is equilateral, then it is ________________________. 6. If two angles of a triangle are congruent, then the sides ________________________ those angles are congruent. 7. If two sides of a triangle are congruent, then the ________________________ opposite those sides are congruent. 8. If a triangle is equiangular, then it is ________________________. 9. A forest ranger in Grand Canyon National Park wants to find the minimum distance across the canyon. She finds a place in the Marble Canyon area of the park where the sides seem close together. She takes measurements and draws this figure. Find the distance AB. (Hint: The angles in an equiangular triangle measure 60.) ________________________ Find each value. 10. mD ________ 11. GI ________ 12. mL ________ 13. RQ ________ 14. mU ________ 15. t ________ 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 __________________ 16. mX __________ 17. BC __________ 18. PQ __________ 19. mK __________ 20. t __________ 21. n __________ 22. mA __________ 23. x __________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry