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CCGPS Geometry 3 - Similarity & Right Triangles 3.10 – Homework Name: ________________________________________________ Date: _______________________ Similarity Review – Homework 1) Given BD AE , find DE and CE. C 6 4 B D 10 A E 2) A model of a building has a scale of 2 in to 15 ft. If the model is 5 in tall, how tall is the actual building? 3) In the diagram, CAT DOG. Use the diagram to find each of the following. a) Scale factor of CAT to DOG (Simplify if necessary) Scale Factor = _______ A y b) Find x and y (Show Work!) 6 81˚ 35˚ x = __________ y = __________ C 8 c) Find mD = __________° T 15 O x d) Find mO = __________° e) Find the perimeter of CAT = __________ 81˚ D 12 G Find the perimeter of DOG = __________ f) What is the ratio of the perimeter of CAT to the perimeter of DOG? _____________ 4) A boy who is 5 ft. tall cast a shadow that is 12 ft long. At the same time, a building nearby cast a shadow that is 72 ft long. How tall is the building? Draw a picture! CCGPS Geometry 3 - Similarity & Right Triangles 3.10 – Homework 5) Explain why the triangles are similar and write a similarity statement. a) ABC~__________ by ______ b) RST~__________ by ______ b) ABC~__________ by ______ 6) Determine which of the triangles (Δ DEF or ΔGHJ) is similar to ΔABC a) Complete the Similarity Statement to ΔABC ~ Δ ____________ b) Find the Scale Factor = __________ 7) Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor and simplify if possible. a) b) B A Reduction or enlargement? Reduction or enlargement? scale factor = __________ scale factor = __________