NAME:
UNIT 1 • SIMILARITY, CONGRUENCE, AND PROOFS
Lesson 6: Defining and Applying Similarity
Lesson 1.6.2: Applying Similarity Using the Angle-Angle (AA) Criterion
Warm-Up 1.6.2
The Statue of Liberty, a gift to the United States from France in 1886, stands 93 meters tall. A replica
of the famous statue is 7.75 meters.
1. W
hat is the scale factor comparing the height of the replica to the actual height of the Statue
of Liberty?
2. T
he height of the base of the Statue of Liberty is approximately 46.5 meters. What is the height
of the base of the Statue of Liberty replica?
U1-347
© Walch Education
CCGPS Analytic Geometry Teacher Resource
UNIT 1 • SIMILARITY, CONGRUENCE, AND PROOFS
Lesson 6: Defining and Applying Similarity
Instruction
Lesson 1.6.2: Applying Similarity Using the Angle-Angle (AA) Criterion
Common Core Georgia Performance Standard
MCC9–12.G.SRT.3
Warm-Up 1.6.2 Debrief
The Statue of Liberty, a gift to the United States from France in 1886, stands 93 meters tall. A replica
of the famous statue is 7.75 meters.
1. W
hat is the scale factor comparing the height of the replica to the actual height of the Statue
of Liberty?
Create a ratio comparing the height of the replica to the actual height of the statue.
height of replica 7.75 meters 1
=
=
actual height
93 meters 12
1
The ratio comparing the two heights is
.
12
1
The scale factor is
.
12
2. T
he height of the base of the Statue of Liberty is approximately 46.5 meters. What is the height
of the base of the Statue of Liberty replica?
Write a proportion to find the height of the base of the replica.
replica base height
actual base height
x
=
=
1
12
1
46.5 meters 12
12x = 46.5
x = 3.875
The height of the base of the Statue of Liberty replica is 3.875 meters.
Connection to the Lesson
•
S tudents will continue to use ratios and proportions to determine the ratio of similitude and
calculate missing lengths of similar triangles.
U1-348
CCGPS Analytic Geometry Teacher Resource
© Walch Education