Name ______________ Period ______ Classify the triangle by its sides. 1. Date ________ 2. 5.1 (Day 1)Worksheet 3. 4. Plot points A, B and C on the coordinate plane. Classify ∆𝐴𝐵𝐶 by its sides. Then determine whether it is a right triangle. A(-2, 3); B(0, -3); C(3, -2) Find 𝒎∠𝟏. Then classify the triangle by its angles. 5. 6. 7. 8. 9. Use an algebraic equation to find the value of x. Then find the measure of each acute angle. 10. In a right triangle, the measure of one acute angle is twice the difference of the measure of the other acute angle and 12. Sketch and label a diagram. Then find the measure of each acute angle in the right triangle. 11. Prove the Corollary to the Triangle Sum Theorem. Given: ∆𝐴𝐵𝐶 is a right triangle where ∠𝐶 is a right angle Prove: ∠𝐴 and ∠𝐵 are complementary Statement 1. Reason 1. 2. 3. 4. 5. 6. 2. Triangle Sum Theorem 3. 4. 5. 6. 12. Is it possible to draw an obtuse isosceles triangle? obtuse isosceles triangle? If so, sketch an example. If not, explain why it is not possible. 13. Is it possible to draw a right isosceles triangle? right equilateral triangle? If so, sketch an example. If not, explain why it is not possible. 14. Find the value of x. 15. Find the value of y.