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Semester 1 Final Review #2 Name______________________________ 5 1. Given a line with the following equation y x 7 3 a) Graph a line through (0, 5) that is parallel to the given line. What is the equation of the line? ____________________ b) Graph a line through (0, 5) that is perpendicular to the given line. What is the equation of the line? ____________________ 2. True or False? ________ The base and height of a figure are perpendicular. ________ Area is measured in square units. ________ Congruent figures are always similar. ________ If FG, then F is congruent to G. ________ All rectangles are similar. ________ If two shapes are congruent, then their ratio of similarity is 1:1. ________ All equilateral triangles are not similar. 3. Find the measure of each angle and justify the relationship you used. b 110° a c d 35° angle measure a b c d justification 4. Are the triangles similar. If so, use a flowchart to show that the triangles are similar. a) Is RAP NOK? B) Is EAB ECD? R 6 B A 9 N Check Answers: 75 7.5 false false false true true true true 1.25 70 70 by SAS 3.33 1.75 35 O 8 9 15 P A 10 K E 5 C 4 D y=5/3X+5 y=3/5X+5 5. Solve for the missing lengths in each figure. SHOW WORK. a) 9 4 6 b) ABCDE JKLMN 5 v r A B 2 0 r= ________ v = ________ C E v r D J L K 8 N 7 5 M r = ________ v = ________ 6. Brian, an avid birdwatcher, has spotted something unusual at the top of the 35-foot tall oak tree across the street. Eager to identify the bird, he stands in the doorway and looks through his binoculars, so that he doesn’t scare the bird away. Brian’s eyes are 5.7 feet off the ground, and he estimates that his angle of sight up to the bird is 55°. How far is Brian from the base of the tree? 7. Find the specified value. a. Find the value of y. 55 35” ° x 5.7” b. Solve for x. The rectangle has a perimeter of 40. 4x + 10 6x – 20 y 2x+1 x-6 Multiple Choice. Show all work. 8. The measure of EKG is: (A) 140 (B) 20 (C) 40 (D) 80 (E) none of these H E 4x K 6x – 20 G F 9. IF the points A (-4,5) and B (8,-3) are plotted on a graph. What will be the slope of AB ? a) 12 8 b) 8 12 c) 3 2 d) 2 3 e) none of these 10. Given that the area of PQR is 24 in2, then the length of QR is___. P (A) 6 in (B) 10 in (C) 12 in (D) 73 in (E) none of these 8 Q R 11. Given 1 = 2, which theorem could be used to show that ABN~YXN? B (A) AA (B) SAS (C) SSS (D) ASA (E) none of these Y 2 A 3 N 1 4 X Use the diagram to the right for next problems. Given m \\ n 12. 8 5 and 7 are ____________ angles. 7 and 2 Check a Answers 3 7 (B) vertical (D) corresponding are ____________ angles. (A) supplementary (C) alternate interior (E) none of these c b (B) vertical (D) corresponding b c d 20.52 8.33 2 1 5 6 (A) supplementary (C) alternate interior (E) none of these 13. n m 94 4