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Geometry Sections 4.1, 4.2, 4.3 Name____________________________ I. Define each type of triangle, then sketch and label an example. Classification Definition Sketch Acute Triangle Right Triangle Obtuse Triangle Equiangular Triangle Equilateral Triangle Scalene Triangle Isosceles Triangle SOME OF THE THEOREMS YOU NEED TO KNOW… A. The sum of the measures of the interior angles of a triangle is __________. B. The acute angles of a right triangle are___________________________. C. The exterior angle of a triangle is equal to_________________________________________________________. D. If a triangle is Isosceles, then the base angles are __________________________________________________. E. What is the connection between Equilateral and Equiangular triangles?__________________________________. F. When a triangle is Equiangular, the measure of each angle is__________. G. If the two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are_____________________. H. Two triangles are congruent if and only if__________________________________________________________. I. Describe what it means to be corresponding angles or corresponding sides. Draw a picture to explain if you need to. II. Find the measure of each angle. 1. Find 3. Find 2. Find 4. Given that RST LMN. Identify the congruent corresponding parts. RS _____ S ____ LN _____ TS _____ 5. Find the value of x. L _____ N ____ 6. Find 7. Given that RST LMN. Find each value. y =________ x =________ The measure of one of the acute angles in a right triangle is given. What is the measure of the other acute angle? 8. 22.6o 9. 41o 10. 24.45o 11. Find m M 12. Find m XYZ Given: ∆XYZ ∆NPQ. Identify the congruent corresponding parts. 13. Z ________ 14. YZ ________ 15. P ________ 16. X ________ 17. NQ ________ 18. PN ________ Given: ∆EFG ∆RST. Find each value below. 19. x = ________ 20. y = ________ 21. F = ________ 22. ST = ________ 23. Find m A 24. Find BC