1. Hallie is estimating the height of the Superman roller coaster in Maryland. She is 5 feet 3 inches tall and her shadow is 3 feet 2 inches long. If the length of the shadow of the roller coaster is 40 feet, how tall is the roller coaster in inches?

2. Answer True or False for the following:a) The angles of similar figures are congruent.b) The sides of similar figures are congruent.c) 2:3 is an example of a similarity statement.d) If one angle of a triangle is congruent to an angle of another triangle, then the two triangles are similar.

3. The ratio of the angles of a quadrilateral is 2:3:4:6. Find the measure of each angle.

4. Solve each proportion:

103

=7x

y+411

= y−29

5. Solve each proportion:

2x−14

= x+48 n2=

18n

6. Jessica can read 6 pages of a book in 5 minutes. How long will it take her to read a 60 page book?

7. There are 8 juniors and 12 seniors who are members of the Mathletes team. What is the ratio of the number of seniors to the total number of students in Mathletes?

8. If ΔABC is similar to ΔXYZ, list all the congruent angles and write a proportion that relates the corresponding sides.

9. The polygons below are similar. Find the value of x.

10. Two similar polygons have a scale factor of 3.5 : 5.6. The perimeter of the larger polygon is 122.4 feet. Estimate the perimeter of the smaller polygon.

11. Determine whether or not the triangles are similar. If so, explain what theorem proves they are and write the similarity statement.

12. Determine whether or not the triangles are similar. If so, explain what theorem proves they are and write the similarity statement.

13. The ratio of the angles of a triangle is 2:3:4. Find the measure of each angle.

14. The money used in Jordan is called the Dinar. The exchange rate is $3 to 2 Dinars. Find how many dollars you would receive if you exchanged 23 Dinars.

Challenge Problem #1Mr. Turner uses a carpenter’s square to find the distance across a stream. The carpenter’s square models the right angle NOL. He puts the square on top of a pole so he can sight along OL to point P across the river. Then, he sights ON to point M. if MK is 1.5 feet and OK is 4.5 feet, find the distance KP across the stream.

Challenge Problem #2Zoey is playing miniature golf on a hole like the one shown at the right. She wants to putt her ball U so that it will bank at T and travel into the hole at R. Use similar triangles to find where Jessica’s ball should strike the wall.