b Name:_________________________ Geometry Chapter 3 Test Period:_______ Date:__________________ Multiple Choice Identify the choice that best completes the statement or answers the question. Write your answer in the space provided. ____ 1. Which lines, if any, can you conclude are parallel given that with a theorem or postulate. ? Justify your conclusion g 1 j 2 h k a. b. c. d. , by the Converse of the Alternate Interior Angles Theorem , by the Converse of the Same-Side Interior Angles Theorem , by the Converse of the Same-Side Interior Angles Theorem , by the Converse of the Alternate Interior Angles Theorem ____ 2. How many sides does a regular polygon have if each exterior angle measures 36? a. 12 sides b. 9 sides c. 10 sides d. 13 sides ____ 3. Name the ray that is opposite H G F E a. b. c. d. ____ 4. Write an equation in point-slope form of the line through point J(2, 3) with slope 7. a. c. b. d. ____ 5. Which angles are corresponding angles? a. b. c. d. ____ 4 6. Which graph represents the line that goes through point (–5, –3) with slope . 5 y y a. c. –6 –4 6 6 4 4 2 2 –2 2 6 –4 –4 –2 –4 –4 –6 –6 d. y –6 –6 x –2 b. ____ 4 –2 6 4 4 2 2 2 4 6 4 6 x 2 4 6 x y 6 –2 2 –6 x –4 –2 –2 –2 –4 –4 –6 –6 7. Name the three labeled segments that are parallel to a. , , b. , , c. , , , d. ____ 8. Complete the statement. If a transversal intersects two parallel lines, then ____. a. alternate interior angles are congruent b. same-side interior angles are complementary c. corresponding angles are supplementary d. none of these ____ 9. One way to show that a statement is NOT a good definition is to find a ____. a. converse c. biconditional b. counterexample d. conditional , , 3 ____ 10. Which graph represents the graph of the line y = x – 1. 4 y a. c. –6 –4 6 6 4 4 2 2 –2 2 4 6 –4 –2 –2 –4 –4 –6 –6 d. y –4 –6 x –2 b. –6 y 6 4 4 2 2 2 4 6 x 4 6 x 2 4 6 x y 6 –2 2 –6 –4 –2 –2 –2 –4 –4 –6 –6 Short Answer 11. Find the measure of each numbered angle. The diagram is not to scale. 5 4 132 o 6 1 2 8 3 9 7 11. m1 _____ m2 _____ m3 _____ m4 _____ m5 _____ m6 _____ m7 _____ m8 _____ m9 _____ 12. Find the value of k. The diagram is not to scale. 12. k = ________ 69° k° 20° 13. Find the values of x, y, and z. The diagram is not to scale. 13. x = _______ 44° y = _______ 12° z = _______ 63° x° z° y° 14. Find the missing values of the variables. The diagram is not to scale. 14. x = ________ 124° x° 114° y° y = ________ 69° 15. Give the missing reasons in this proof of the Alternate Interior Angles Theorem. Given: Prove: Statements 1. 2. 3. 4. l is parallel to n 2 6 4 2 6 4 Reasons 1. Given a.______________________________________ b.______________________________________ c.______________________________________ 16. Find the value of x. The diagram is not to scale. 16. x = ________ 42° 102° x° 17. Fill in the blank. When a conditional and its converse are true, you can combine them as a true _____________________. 18. bisects diagram is not to scale. and Solve for x and find The 18. x = _______________ mLMN ________ 19. Find the values of x and y. 19. x = ________ y = ________ 6y° 120° 8x – 8° Drawing not to scale 20. Find the value of the variable if 1 The diagram is not to scale. 20. x = ________ 2 3 and l 4 5 6 7 8 m 21. Find the value of x. The diagram is not to scale. Given: , , 21. x = ________ S R T U 22. If find the values of x, EF, and FG. The drawing is not to scale. E F G 22. x = __________ EF = _________ FG = _________ 23. Based on the pattern, what are the next two terms of the sequence? 5, 10, 15, 20, . . . 24. 23. ____ , ____ Find the measure of one exterior angle and one interior angle of a regular Nonagon. 24. Interior Angle:_________ Exterior Angle:_________ 25. Find . The diagram is not to scale. 25. mA ________ 96° 118° 115° 104° A Tell whether the lines through the given points are parallel, perpendicular, or neither. 26. Line 1: (0, 1), (1, 4) 27. Line 1: (1, 2), (2, 0) Line 2: (3, 2), (6, 3) Line 2: (0, -1),(-2, -2) 26. _____________ 27. ____________ Write an equation of the line that passes through point P and is parallel to the line with the given equation. 28. _____________ 28. P(-1, 4), y = 7x - 2 Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. 29. _____________ 29. P(3, 4), y = -x + 2 Write an equation of the line in point-slope form using the given slope that contains the given point. 30. _____________ 30. P(3, -6), slope= -9 Graph the equations!!! 31. 3x – 2y = -6 32. y – 4 = -2(x + 3)