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
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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
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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