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Geometry Semester Exam Review Assignment Show all work on a separate sheet of work paper. Remember to follow the criteria for credit. 2c. • If m<A < 40, then <A is acute. Competency 1: Patterns / Reasoning • <A is 35 1. Use the following conditional statement for the questions below: If an angle is a right angle, then it has a measure of 90. 2d. • If m<A < 40, then <A is acute. • <A is 45 3. If the following two statements are true, what conclusion can you reach? a. Classify the statement as true or false. b. Write the converse of the given statement. • An isosceles triangle has at least two sides with the same length. • XYZ has three sides with the same length. b. Classify the converse as true or false. d. Write the inverse of the given statement. Competency 2: Geometric Terminology e. Classify the inverse as true or false. 4a. Sketch AD and AN such that they are opposite rays. 4b. Sketch AD and AN such that they are not opposite rays. 5. Briefly explain the difference between f. Write the contrapositive of the given statement. g. Classify the contrapositive as true or false. For #2, if it is possible, state the conclusion that can be made. 2a. 2b Page 1 • If it is raining, then my dog gets wet. • It is raining. MN and MN . • If it is raining, then my dog gets wet. • My dog is wet. © Mastery Mathematics Geometry Semester Exam Review Assignment 10. Sketch two lines cut by a transversal. On your sketch, show a pair of same side interior angles, by labeling them <1 and <2. 11. Sketch a triangle to fit the description. If not possible, write not possible. Sketch a right equilateral triangle. Use the following diagram for #6 and #7. 1 2 3 4 7 6 5 6a. 8 9 Identify a pair of complementary angles. 12a. 6b. Identify a pair of supplementary angles. 7a. Identify a pair of vertical angles. 7b. Identify a linear pair For #8 and #9, use the diagram below to classify each given pair of angles as alternate interior angles, same side interior angles, alternate exterior angles, corresponding angles, or vertical angles. a A triangle with no sides congruent is a(n) _____________ triangle. 12b. A triangle with all sides congruent is a(n) _____________ triangle. 13c. A triangle with at least two sides congruent is a(n) _________ triangle. 13d. A triangle with a 90 is a(n) _________ triangle. 13e. A triangle with two 40 angles is a(n) _________ triangle. 13f. A triangle with three angles with measures less than 90° is a(n) _________ triangle. 14. Sketch an obtuse triangle. Use measurements and/or markings to show that your triangle is the specified type. b 1 2 3 4 5 6 7 8 8a. <1 and <8 8b. <2 and <3 9a. <7 and <3 9b. <5 and <4 Page 2 c Competency 3: Segment Relationships 15. Find the midpoint of MN if the coordinates are: M(–2, 5) and N(–5, 1). 16. M (3, -5) is the midpoint of AB . The coordinates of A are (-4, 2). Find the coordinates of B. © Mastery Mathematics Geometry 17. 21a. Semester Exam Find the distance between (2, –6) and (4, 0). Round your answer to the nearest tenth. 25. Review Assignment In the given 35 95 50 C (14x +9) (3x +1) Write the angle measures in order from the least to the greatest. A 6 C 3 B 23. 27. 7 A triangle has sides of 7cm and 20cm. Describe the possible lengths of the third side. Sheri was given 8 feet of wire and told to bend it in the shape of an isosceles triangle. Sketch an isosceles triangle that Sheri could have formed with the 8 feet of wiring. (5x + 13) (3x – 1) (9x–80) 28. x y For #29, use the drawing below: Given: a || b and m || n b a m Competency 4: Angle Relationships 127 24. If the value of x is chosen at random from {8, 10 , 15, 25 }, K what is the probability that <K is an acute angle? (2x) 1 29a. Page 3 C For #26 – 28, find the value of the variable(s) using the given diagrams. 26. 22. N B Write the side lengths in order from the B least to the greatest. A 21b. A diagram, BN is an angle bisector. If m<ABN = 3x – 7 and m<ABC = 70, find x. m<1 = ? © Mastery Mathematics n 2 29b. m<2 = ? Geometry Semester Exam Review Assignment 32b. y For #30, use the diagram below. j c 26 k x 1 2 3 4 d 5 6 7 8 9 10 11 12 x 33. (2x – 13) (x + 5) 30a. If 6 7, which lines, if any, must be parallel? 30b. If 5 12, which lines, if any, must be parallel? 30c. If 6 and 4 are supplementary, which lines, if any, must be parallel? 34. Find the slope of the line passing through (–1, 5) and (4, 5). 31. Given that a || b, solve for x. 35. Find the slope of the line passing through (–6, 1) and (–2, 0). 36. Write an equation of the line that has a y-intercept of –3 and is parallel to the graph of y = 4x + 2. 37. Write an equation of the line that has a y-intercept of –3 and is perpendicular to the graph of y = 4x + 2. 38. Given the coordinates of points A, B, C, and D, use the slopes of the lines to determine if AB and CD are parallel, perpendicular, or neither. A (–5, 1); B (0, –4); C (6, 2); D (1, 7) Competency 5: Coordinate Geometry t (11x – 3) a b (5x + 55) For #32 and #33, use the given information in the drawing to find the value of the variable(s). x 32a. 140 Page 4 y © Mastery Mathematics Geometry Semester Exam Competency 6: Congruent Triangles For #39-42,write the congruent triangles from the given drawing, and write the reason that they are congruent. 39. C Review Assignment For #43 and #44, supply the missing statements or reasons in the given partial proofs. 43. F Given: AB DE , BC EF , AC DF Prove: <A <D A E B D D C F E G A 40. C B E D K 41. M L Statement 1. AB DE , BC EF , AC DF Reason 1. Given 2. ABC DEF 2. (answer 43a) 3. (answer 43b) 3. CPCTC N 44. A B Given: AB CD , B BC AD Prove: AB || CD A C D 42. 10 cm D 10 cm C Competency 8: Perimeter, Circumference and Area 45. Find the perimeter and area of the given triangle. 18 m 8m 48. Page 5 5m 12 m Statement 1. AB CD , BC AD Reason 1. Given 2. (answer 44a) 2. Reflexive Property 3. BAD DCB 3. SSS 4. <ABD <CDB 4. (answer 44b) 5. AB || CD 5. If alt. int <’s are , then the lines are parallel Find the perimeter and area of the figure to the right. © Mastery Mathematics