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May 23, 2008 Math Test: Geometry Unit 6 Name: ____________________ Class: ____________________ 1. Selected Response: For each question, circle the best answer. 1. In triangle TOY, TY = 5 cm, YO = 4 cm, and Y = 60º. What rule states that the triangle is unique? A SSS B SAS C ASA D AAS 2. Two figures are similar if they have A the same size and shape B the same size C the same shape 3. Opposite angles are A similar B congruent C unequal D adjacent 2. Answer true or false for the following statements. A. Alternate interior angles of parallel lines are also known as the F pattern. ________________ B. In order to find two similar triangles you need the measures the three angles of each triangles.____________________ C. A reflex angle can equal 45 degrees. ___________________________ D. An obtuse triangle has two obtuse angles. ________________________ 3. a. b. c. d. e. f. g. h. i. Match the word with the best description. _____ transversal _____ congruent _____ scale factor _____ unique triangle _____ adjacent angle _____ similar _____ complementary angles _____ supplementary angles _____ proportions 1. Represented as the symbol 2. A statement that says two ratios are equal 3. A line that crosses two or more lines 4. Represented by the symbol ~ 5. A triangle that doesn’t have an equivalent 6. Angles adding up to 90 degrees 7. Two angles that are next to one another 8. Angles that add up to 180 degrees 9. A number that represents the amount by which a figure is enlarged or reduced. 8 4. Tell if the triangles are unique or not, given the following information. Explain why or why not. (4pts) a) In ABC , AB = 10cm and BC = 12cm _____________________________________________________________________ b) In LMN , L 50, LM = 11cm, and LN = 15cm. ______________________________________________________________________ c) In DEF , D 35, E 120, and F 25 . ______________________________________________________________________ d) In XYZ , X 50, Y 90, XZ = 25cm. ______________________________________________________________________ 5. Indicate which pair of triangles in each question is congruent. Use the congruency symbol in the statement followed by giving the condition for each. (1pts each) a) G B D A E C F I H ______________________________ b) M O S R U P N T Q ______________________________ c) J –8 R M Q K O P L S ______________________________ 6. A streetlight makes a 360cm shadow on the ground at the same time that Josh makes a 1.2-m shadow and stands 1.5 m tall. How tall is the streetlight? Draw a diagram of the problem then use a proportion to solve and show your work. (2pts) 9 7. From the given A 40 , identify the missing angles from the diagram by filling in the table below and than answer the following questions. (6 points) Angle B C D E F G H I Measure Angle Measure a) Name one pair of corresponding angles. _____________________________ b) Name one pair of supplementary interior angle. ________________________ c) Name one pair of alternate interior angles. ____________________________ d) Name one pair of complementary angles.______________________________ 8. Which of these triangles are similar ABC ? Give the condition to prove our choices. Are there any other triangles that a re similar to one another. (1pt each) a. is similar to ( ) b. is similar to ( ) c. is similar to ( ) 9 9. Find the value of unknown side or angle. (1 point each) a) h 1.5 m 4.5 m 27 m b) x 2m 3m 18 m c) y 2m 8m 3m d) 70¼ 32¼ x 4