Homework assignment Grade 9 Geometry （作业成绩9几何）.pdf

Homework assignment Grade 9 Geometry (Congruence and Similarity) November 10, 2008 1) Determine the angle measure indicated by each letter. a) z 105藲 Y x b) 75藲 a b 50藲 c 2) Solve for x and y 7 14 a) = 30 肀 3 肀 b) = 19 7 4 5 肀 c) = = 9 肀 12 3) The diagram shows congruent triangles. Name the equal angles and the equal sides. B P R C A Q 4) These two rectangles are similar. Determine the length of side FG. E H A D 1.o cm 1.8 cm B 1.6 cm C F G 5) A pole 3.8 m high casts a shadow that measures 1.3 m. A nearby tree casts a shadow 7.8 m long. Find the height of the tree. 6) Is it possible to construct a triangle with side lengths 6.5 cm, 9.0 cm, and 11.5 cm? If your answer is yes, construct the triangle. If your answer is no, explain. 7) The shadow of a relay tower is 32.0 m long on level ground. At the same time, a boy 1.8 m tall casts a shadow 1.5 m long. What is the height of the tower? 8) Using the diagram below, use what you have learned about similar triangles 2 2 2 to prove the Pythagorean Theorem 肀 + 肀 = 肀 . Solutions to Homework assignment Grade 9 Geometry (Congruence and Similarity)