Graded Assignment MTH203B/204B Geometry | Unit 3 | Lesson 14: Similar Shapes Unit Test Name: Date: Graded Assignment Unit Test, Part 2 Answer the questions below. When you are finished, submit this test to your teacher by the due date for full credit. (20 points) 1. For TRI, the following facts are given: Score Segment AN || Segment RI AN = 6 cm RI = 8 cm TA = 3.3 cm NI = 1.6 cm Use any or all of these facts to answer the following: a) Assume TAN is the image of TRI (TRI is the preimage) under a dilation. Is the dilation an expansion or a contraction? b) What is the scale factor of the dilation (hint: use AN and RI). c) What is the ratio of the area of TRI to TAN? (hint: Use the scale factor from above) d) Find AR. Show your work. e) Use the Side-Splitting Theorem to find TN. 2010 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 1 of 3 Graded Assignment MTH203B/204B Geometry | Unit 3 | Lesson 14: Similar Shapes Unit Test (12 points) 2. The height of one solid limestone square pyramid is 24 m. A similar solid limestone square pyramid has a height of 30 m. The volume of the larger pyramid is 16,000 m 3. Determine each of the following, showing all your work and reasoning. Score a) The scale factor of the smaller pyramid to the larger pyramid in simplest form. (hint: use the heights) b) The ratio of the area of the base of the smaller pyramid to the larger pyramid. (hint: Square the scale factor). c) Ratio of the volume of the smaller pyramid to the larger. (hint: Cube the scale factor) d) The volume of the smaller pyramid. 2010 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. Page 2 of 3 Graded Assignment MTH203B/204B Geometry | Unit 3 | Lesson 14: Similar Shapes Unit Test (17 points) 3. For TOE the following facts are given: Score mTOS = mSOE TE = 6 cm OT = 2 cm OE = 5.8 cm OG = 4.35 cm AU = 0.45 cm Use this information to answer the following: a) Why is OBG OTE? (hint: Pick AA, SAS or SSS) Now find the following missing lengths. Show all work or reasoning. Round non-integral lengths to the nearest hundredth. b) GE (hint: Use OE and OG) c) OA (hint: Use GE, OG and AU, set up a proportion) d) BT (Use the Side-Splitting Theorem.) e) OU Your Score 2010 K12 Inc. All rights reserved. Copying or distributing without K12's written consent is prohibited. ___ of 49 Page 3 of 3