NAME ______DATE______PERIOD ______

7th Grade PreAP

NOTES 2.2 Angle-Angle Similarity of Triangles

Indirect measurement allows you to use properties of similar polygons to determine distances or lengths that are difficult to measure directly.

1. A statue casts a shadow 30 feetlong. At the same time, a person who is 5 feettall casts a shadow that is 6 feet long. Howtall is
the statue?

2. The twotriangles shown in the figure are similar. Determine the distance d acrossRed River.

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NAME ______DATE______PERIOD ______

7th Grade PreAP

NOTES 2.2 Angle-Angle Similarity of Triangles

Indirect measurement allows you to use properties of similar polygons to determine distances or lengths that are difficult to measure directly.

1. A statue casts a shadow 30 feetlong. At the same time, a person who is 5 feettall casts a shadow that is 6 feet long. Howtall is
the statue?

2. The twotriangles shown in the figure are similar. Determine the distance d acrossRed River.

7th Grade PreAP

Lesson 2.2 Homework

Angle-Angle Similarity of Triangles

In Exercises 1– 4, the triangles are similar. Write a proportion andsolve the problem.

Course 3 • Chapter 2Similarity and Dilations

NAME ______DATE______PERIOD ______

1. How tall is Yori?

2. How far is it from thehut to the gold coins?

Course 3 • Chapter 2Similarity and Dilations

NAME ______DATE______PERIOD ______

Course 3 • Chapter 2Similarity and Dilations

NAME ______DATE______PERIOD ______

3. How deep is the water 31.5 feetfrom the shore?

4. How far is it across thepond?

Course 3 • Chapter 2Similarity and Dilations

NAME ______DATE______PERIOD ______

For Exercise 5, draw a diagram of the situation. Thenwrite a proportion and solve the problem.

5. The Gateway Arch in St. Louis,Missouri, is 630 feet tall. Suppose a
12-foot-tall pole that is near the Archcasts a 5-foot shadow. How long is theArch’s shadow?

Lesson 2.2 Problem-Solving Practice

Angle-Angle Similarity of Triangles

1. Eduardo is 6 feet tall and castsa 12-foot shadow. At
the same time,Diane casts an 11-foot shadow. How
tallis Diane? / 2. If a 25-foot-tall house casts a75-foot shadow at the same time that a streetlight casts a 60-foot shadow, howtall is the streetlight?
3. Lena is feet tall and castsan 8-foot shadow. At the same time, aflagpole casts a 48-foot shadow. Howtall is the flagpole? / 4. A woman who is 5 feet5 inches tall is standing near theSpace Needle in Seattle, Washington.She casts a 13-inch shadow at the sametime that the Space Needle casts a121-foot shadow. How tall is the SpaceNeedle?
5. A 42-footflagpole near the WashingtonMonument casts a shadow that is14 feet long. At the same time, the Washington Monument casts a shadowthat is 185 feet long. How tall is theWashington Monument? / 6. A ramp slopes upwardfrom the sidewalk to the entrance of abuilding at a constant incline. If theramp is 2 feet high when it is 5 feetfrom the sidewalk, how high is theramp when it is 7 feet from thesidewalk?

Course 3 • Chapter 2Similarity and Dilations