For Questions 1 through 13, use the figure above. The measure of 1 is 135. Complete each statement.
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1 Assignment Assignment for Lesson 9.1 Name Date Figuring All of the Angles Angles and Angle Pairs For Questions 1 through 13, use the figure above. The measure of 1 is 135. Complete each statement. 1. The measure of 2 is and 2 are angles. 3. The measure of 3 is and 3 are angles The measure of 4 is and 4 are angles. 7. The measure of 5 is. 8. and 5 are vertical angles. 9. The measure of 6 is. 10. and 6 are corresponding angles. 11. The measure of 7 is. 12. and 7 are supplementary angles. 13. and 7 are supplementary angles. 14. Write all of the relationships that you can think of that exist between the angles in the figure at the right Chapter 9 Assignments 105
2 9 106 Chapter 9 Assignments
3 Assignment Assignment for Lesson 9.2 Name Date A Collection of Triangles Classifying Triangles 1. Use a ruler to draw an isosceles triangle that has a right angle. 2. Use a ruler to draw an isosceles triangle that has an obtuse angle. 3. Use a ruler to draw an isosceles triangle that has 3 acute angles. 9 The side lengths of a triangle are given. Classify each triangle by its side lengths inches, 2 inches, 2 inches 5. 5 meters, 2 meters, 4 meters 6. 7 feet, 5 feet, 5 feet The angle measures of a triangle are given. Classify each triangle by its angle measures , 90, , 110, , 60, , 60, In the figure at the right, the length of AB is equal to the length of AE. Name and classify all of the triangles in the figure at the right. Use a complete sentence to write your answer. A E D B C Chapter 9 Assignments 107
4 9 108 Chapter 9 Assignments
5 Assignment Assignment for Lesson 9.3 Name Date The Signs Are Everywhere Quadrilaterals and Other Polygons 1. Write all of the names you can think of for each figure The figure at the right is a 12-sided polygon called a regular dodecagon. 2. How many diagonals can you draw from a vertex? 3. Into how many triangles would these diagonals divide the dodecagon? 4. What is the sum of the measures of the angles of the dodecagon? 5. What is the measure of each angle of the regular dodecagon? 6. Find the measure of the missing angles of parallelogram CAKE. C A E 55 K Chapter 9 Assignments 109
6 9 110 Chapter 9 Assignments
7 Assignment Assignment for Lesson 9.4 Name Date How Does Your Garden Grow? Similar Polygons For each garden plot, draw a garden plot that is similar to the given plot but larger. Then draw a garden plot that is similar to the given plot but smaller cm 9 4 cm 3. Decide whether the triangles are similar. If they are, find the scale factor of the larger triangle compared to the smaller triangle. Write your answer using a complete sentence. 8 cm 6 cm 12 cm 9 cm 12 cm 18 cm 4. The rectangular gardens are similar. Find the scale factor of the smaller garden compared to the larger garden. Then find the missing length. 12 m? m 16 m 12 m Chapter 9 Assignments 111
8 9 112 Chapter 9 Assignments
9 Assignment Assignment for Lesson 9.5 Name Date Shadows and Mirrors Indirect Measurement Outside of the Boy Scouts of America building there are many flags that represent different groups within the organization. A group of scouts decides to use indirect measurement to find the heights of different flagpoles. 1. The scouts find that the shorter flagpole casts a shadow that is 8 meters long. The taller flagpole casts a shadow that is 12 meters long. The shorter flagpole is 12 meters tall. Find the height of the taller flagpole. Write your answer using a complete sentence.? m 12 m 12 m 8 m 9 2. Use what you have learned about similar triangles to find the length of the unknown side of the small triangle at the right. 8 cm 4 cm 3. A tree casts a shadow that is 24 feet long. Casey is 5 feet tall and she casts a shadow that is 3 feet long. About how tall is the tree? Show all your work. Write your answer using a complete sentence.? cm 6 cm Chapter 9 Assignments 113
10 9 114 Chapter 9 Assignments
11 Assignment Assignment for Lesson 9.6 Name Date A Geometry Game Congruent Polygons You want to investigate some shapes like the ones you worked with when you played the Geometry Game. Use the grid below to make new shapes that are similar to rectangle ABCD with the scale factors given in the table. Then complete the table. A B 9 D C Scale factor Perimeter of original shape Perimeter of new shape How many times bigger is the perimeter of the new shape? Area of original shape Area of new shape How many times bigger is the area of the new shape? Now, make another rectangle that has the same area as the area of rectangle ABCD. Is the new rectangle congruent to rectangle ABCD? Is your new rectangle similar to rectangle ABCD? Chapter 9 Assignments 115
12 9 116 Chapter 9 Assignments
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