1. Circle A has a radius of 4 and a center at (3, 0). Circle B has a radius of 3 and a center at (2, 3). What series of transformations maps Circle A to Circle B, proving that they are similar?
1. Circle A has a radius of 4 and a center at (3, 0). Circle B has a radius of 3 and a center at (2, 3). What series of transformations maps Circle A to Circle B, proving that they are similar?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![Name
Date
Class
LESSON Proving Figures are Similar Using Transformations
11-2
Practice and Problem Solving: A/B
For Problems 1–4, prove that the figures are similar by describing
a series of transformations that maps one figure to the other.
1. Circle A has a radius of 4 and a center at (3, 0). Circle B
has a radius of 3 and a center at (2, 3). What series of transformations
maps Circle A to Circle B, proving that they are similar?
2. A(1, 1), B(2, 4), C(3, 9)
D(1.5, 1.5), E(3, 6), F(4.5, 13.5)
3. GHIJ and KLMN
4. A(-4, 4), B(0, 4), C(0, 0), D(-2, -2), E(-4, 0)
P(-3, 3), Q(-1, 3), R(-1, 1), S(-2, 0), T(-3, 1)
A-4, 4)
| B(0, 4)
M
P-3, 3)
o-1, 3)
-2
T-3, 1)
R-1, 1) x
E-4, 0) S-2, oNIcio, o)
21
D-2, -2)
Tell whether the following pairs of figures are always (A),
sometimes (S), or never (N) similar.
5. Two quadrilaterals with congruent corresponding angles
6. Two isosceles trapezoids with proportional corresponding sides
7. Two regular pentagons
8. Two quadrilaterals with proportional corresponding sides
9. A parallelogram and a trapezoid
10. Two rhombuses with congruent corresponding angles
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
216](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F172869ab-ab47-44a4-bbb3-2dc1c74e01b3%2Fcb2aade9-767b-4396-a275-89c32d90ba7f%2Fp0ke83_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Name
Date
Class
LESSON Proving Figures are Similar Using Transformations
11-2
Practice and Problem Solving: A/B
For Problems 1–4, prove that the figures are similar by describing
a series of transformations that maps one figure to the other.
1. Circle A has a radius of 4 and a center at (3, 0). Circle B
has a radius of 3 and a center at (2, 3). What series of transformations
maps Circle A to Circle B, proving that they are similar?
2. A(1, 1), B(2, 4), C(3, 9)
D(1.5, 1.5), E(3, 6), F(4.5, 13.5)
3. GHIJ and KLMN
4. A(-4, 4), B(0, 4), C(0, 0), D(-2, -2), E(-4, 0)
P(-3, 3), Q(-1, 3), R(-1, 1), S(-2, 0), T(-3, 1)
A-4, 4)
| B(0, 4)
M
P-3, 3)
o-1, 3)
-2
T-3, 1)
R-1, 1) x
E-4, 0) S-2, oNIcio, o)
21
D-2, -2)
Tell whether the following pairs of figures are always (A),
sometimes (S), or never (N) similar.
5. Two quadrilaterals with congruent corresponding angles
6. Two isosceles trapezoids with proportional corresponding sides
7. Two regular pentagons
8. Two quadrilaterals with proportional corresponding sides
9. A parallelogram and a trapezoid
10. Two rhombuses with congruent corresponding angles
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
216
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