Geometry 7-2 Study Guide: Similarity and Transformations For problems 1-4, watch video example 1. 1. What is a similarity transformation?
2. In a similarity transformation, what makes a dilation an reduction vs an enlargement?
3.
4.
E
(
)
B(-6, 3) 1 x, _ 1y 4 4. D : (x, y) → _ 3 32.5y) 5. D : (x, y) → (2.5x, A(3, 9), B(-6, 3), C(3,2-3)
(
)
3 x, _ 3y 6. D : (x, y) → _ 4 4 A(4, 8), B(-8, 4), C(8, -4)
A(2, 3), B(5, -2), C(-4, -2)
x Similarity and Transformations Geometry 7-2 Study Guide: y A(3, 9) -8
2
-6
-4
2
-28
4
-2Apply the dilation D to the polygon with the given vertices. 5. Guided Practice:
Determine whether the 6 polygons with the given vertices are similar. Support your Name the coordinates of Cthe image points. Identify and describe the answer by describing a transformation. (3, -3)
transformation. B(-6, 3)
4
7. L(1, -4), M(1, -9), N(5, -2), O(9, -5) 3 x, 2_ 3y _ 6. P(2, D : 5), (x, Q(2, y) →-5), R(10, 9), S(18, 3)
(4
8. W(-4, 2), X(-4, 6), Y(6, 2), Z(6, 6) D(-2, 1), E(-8, 12), F(3, 1), G(3, 3)
)
4 x y 8), B(-8, A(4, 4), C(8, -4) -8 -6 -4R(10, -2 9) 2 4
E(-8, 12)
12
-2
8 P(2, 5)
C(3, -3) 3) S(18,
4 h the given vertices are similar. Support your x 3 x, _ 3y on. 6. D : (x, y) → _
(
X(-4, 6)
)
y
F(3, 10)
8 P(2, 5) 4
R(10, 9)
Z(6, 6) G(3, 3) Y(6, 2)
S(18, 3) N (5, -2) x 0 4 4 D (-2, 1) -5) 8. W(-4, 2), X(-4,126), 16 Y(6, 2), Z(6, 6) 0 A(4, 8), B(-8, 4), C(8, -4) 4 8 12 16 -8 -4 L(1,Refer -4) to1), example 2-5) onF(3, page1), 2 of your O(9, D(-2, E(-8, 12), G(3, 3) textbook. -4 Q(2,Practice. -5) Guided Determine whether the polygons with the given vertices are -8 Q(2, -5) Esimilar. (-8, 12) Support y your answer by describing a transformation. with the given vertices are your M(1, -9) 12similar. F(3,Support 10) 6. 7. R(10, 9) tion.
9, -5) 3)
86), C(9, 9.8.A(3, 0), B(3, 6) 2), Z(6, 6) W(-4, 2), X(-4, 6), Y(6, P(2, 5) Z(6, X (-4, 6) D(-2, 1), E(-8, 12), F(3, 1),6)G(3, 3) X(4, 0), Y(4, -8), Z(12, -8) 4 G(3, 3) E(-8, W (-4,12) 2) Y(6, 2) y 1) 12 D (-2, F(3, 10) -8
7 Similarity
d 476
X(-4, 6)
R(10, 9) 8 12
0 -4 8 -4 P(2, 5)
4
4
QG(2, (3,-5) 3)
W(-4, 2)
W(-4, 2)
10. L(-10, 5), M(-5, 0), N(0, 0), O(5, 5) D(4, 2), E(2, 0), F(0, 0), G(-2, 2) S(18, 3) x
16
Z(6, 6) Y(6, 2)
S(18, 3) x
(-2, 1) CompleteDquestions 8-10 by watching video example 3. 0
8 12 16 8. -8 Are -4 all circles4similar? Explain why or why not. -4 M(-5, 0), N(0, 0), O(5, 5) 10. L(-10, 5), (2, -5) D(4, 2), E(2,Q0), F(0, 0), G(-2, 2)
9.What are the two steps to proving triangles similar? 10. 1. L(-10, 5), M(-5, 0), N(0, 0), O(5, 5) D(4, 2), E(2, 0), F(0, 0), G(-2, 2)
2.
3/2/11 12:11:20 PM
3/2/11 12:11:20 PM
3/2/11 12:11
Geometry 7-2 Study Guide: Similarity and Transformations 10.
11. Guided Practice: Prove that circle A with center (6, -9) and radius 4 is similar to circle B with center (3, -8) and radius 5.
Refer to example 4 on page 475. 12. Hector is making an art project by cutting and gluing shapes to a wooden board. His design includes two similar triangles, with one 4 times the size of the other. He cuts and traces the small triangle first onto grid paper. Describe how he can use the tracing to make a pattern for the large fabric triangle.
