<p>A Similar Triangles Conjecture</p><p>Name______Hour______</p><p>In the triangles to the right, </p><p> What is the measure of and why?</p><p> What is the measure of and why?</p><p>Measure the sides and compare the ratios of corresponding side lengths. </p><p> Is ?</p><p> Is ? Why or why not? </p><p>Now, draw your own with different side lengths between 2cm and 5cm long. </p><p>Construct a 2nd triangle, , above as well, but with different side lengths of . Make this triangle not congruent to but with and (use a protractor and ruler to help you) Are your two triangles similar? Explain. Similarity Practice 2 Name______Hour______Ready 1. How can you determine if two polygons are similar? </p><p>Explain if each statement is true or false. Explain your reasoning. 2. All squares are similar.</p><p>3. If an acute angle of a right triangle is congruent to an acute angle of a second right triangle, then the triangles are similar. </p><p>4. All isosceles triangles are similar. </p><p>For #5-7, (See figure on right 5. Find 6. Find AQ. 7. Find AB. </p><p>Set For problems #8-11, For each problem, sketch and label the given angles or sides for Then solve for t. 8.</p><p>9.</p><p>10.</p><p>11. 12. Alicia and Jason were writing proportions for similar triangles shown at the right.</p><p>Who is correct? Explain your reasoning.</p><p>13. Identify the similar triangles (write a similarity statement). Find x and the measures of the sides AB and DE.</p><p>Go! 15. To make concrete for the footings of her new deck, Marie mixes cement and sand in a ratio of 2 bags cement to 3 bags of sand. How many bags of sand will she need if she uses 32 bags of cement?</p><p>16. A 212-pound person weighs about 34 pounds on the moon. About how much will a 130-pound person weight on the moon?</p><p>17. A baker’s recipe calls for 6 cups of flour for every 2 cups of milk. If the baker uses 9 cups of flour, how many cups of milk will he need?</p><p>18. A machine worker can produce 75 auto parts in 1.5 hours. How many auto parts can the worker produce in 5 hours?</p><p>19. A survey shows that four out of every seven students watches TV more than three hours per day. If there are 560 seniors in a high school, how many would you expect to watch more than three hours of TV every day?</p><p>20. The advertisement for a scale model of a classic automobile gives the scale of the model as 1 to 24. The model is inches long. What is the actual length of the automobile?</p>