7-6 - Study Guide and Intervention PDF

7-6 Practice

Chapter 7. 40. Glencoe Geometry. 7-6 Practice. Similarity Transformations. Determine whether the dilation from A to B is an enlargement or a reduction. Then

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7-6 Skills Practice. DATE. Similarity Transformations. Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor

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This paves the way for different ways of working using new models of care to achieve workforce transformation. A key driver for the implementation of advanced

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X reduction. K= 3. 4. Page 12. 7-6 Study Guide (continued). Similarity Transformations. Verify Similarity You can verify that a dilation produces a similar

Determine whether the dilation from A to B is an enlargement or a

ANSWER: and ∠A ∠A by the Reflexive Property so by SAS Similarity. eSolutions Manual - Powered by Cognero. Page 3. 7-6 Similarity Transformations

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7-6 Practice

Chapter 7. 40. Glencoe Geometry. 7-6 Practice. Similarity Transformations. Determine whether the dilation from A to B is an enlargement or a reduction.

7-6 Skills Practice - Similarity Transformations

Chapter 7. 39. Glencoe Geometry. 7-6 Skills Practice. Similarity Transformations. Determine whether the dilation from A to B is an enlargement or a

Chapter 7 Resource Masters

Chapter 7. 40. Glencoe Geometry. 7-6. Practice. Similarity Transformations. Determine whether the dilation from A to B is an enlargement or a reduction.

Determine whether the dilation from A to B is an enlargement or a

ANSWER: reduction;. eSolutions Manual - Powered by Cognero. Page 5. 7-6 Similarity Transformations. Page 6. reduction;. 8. SOLUTION: Parallelogram B is smaller

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7-6 Skills Practice. Similarity Transformations. NAME. Determine whether the dilation from A to B is an enlargement or a reduction.

7-1 Reteach to Build Understanding

7-2 Additional Practice. Similarity Transformations. What are the vertices of each image? 1. ( D. 0.75 ? T. ??3 2?) (?ABC)

ACTIVITY 17Continued

Dilations and Similarity Transformations. Scaling Up/Scaling Down. ACTIVITY 17 PRACTICE. Write your answers on notebook paper. Show your work. Lesson 17-1.

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The ratio of the measures of the three angles of a triangle is 7:9:20. 6. WXYZ ~ PQRS. The polygons are similar with a scale factor of.

7-6 - Study Guide and Intervention

Glencoe Geometry. 7-6. Identify Similarity Transformations A dilation is a transformation that enlarges or reduces the original figure proportionally.

STUDENT TEXT AND HOMEWORK HELPER

Access the Practice and Application Exercises that you are assigned for 6. The polygons are similar. Find the value of each variable. 7. 6.

Lesson 7-6

NAME DATE PERIOD

Chapter 7 37 Glencoe Geometry

7-6 Identify Similarity Transformations A dilation is a transformation that enlarges or reduces the original figure proportionally. The scale factor of a dilation , k, is the ratio of a length on the image to a corresponding length on the preimage. A di lation with k > 1 is an enlargement. A dilation with 0 < k < 1 is a reduction. Determine whether the dilation from A to B is an enlargement or a reduction . Then find the scale factor of the dilation.Exercises

Determine whether the dilation from

A to B is an enlargement or a reduction

Then find the scale factor of the dilation.

1. y x 2. y x 3. y x 4. y x

Study Guide and Intervention

Similarity Transformations

Example

a. y x B is larger than A , so the dilation is an enlargement.

The distance between the vertices at

3, 4) and (

1, 4) for

A is 2. The distance between the vertices at (0, 3) and (4, 3) for B is 4.

The scale factor is 4

2 or 2.b. y x B is smaller than A , so the dilation is a reduction.

The distance between the vertices at (2, 3) and

(2, -3) for A is 6. The distance between the vertices at (2, 1) and (2,

2) for

B is 3.

The scale factor is 3

NAME DATE PERIOD

Chapter 7 38 Glencoe Geometry

Study Guide and Intervention (continued)

Similarity Transformations

Verify Similarity You can verify that a dilation produces a similar figure by comparing all corresponding sides and angles. For triangles, you can also use SAS

Similarity.

Graph the original figure and its dilated image. Then verify that the dilation is a similarity transformation.

Example

a. original: A(-3, 4), B(2, 4), C(-3, -4) image: D(1, 0), E(3.5, 0), F(1, -4)

Graph each figure. Since

A and D are both right angles, A D . Show that the lengths of the sides that include ?A and ?D are proportional to prove similarity by SAS.

Use the coordinate grid to find the

lengths of vertical segments AC and DF and horizontal segments AB and DE AC DF 8 4 = 2 and AB DE 5 2.5 = 2, so AC DF AB DE

Since the lengths of the sides that

include ?A and ?D are proportional, ABC ≂ ?DEF by SAS similarity.b. original: G(-4, 1), H(0, 4), J(4, 1) image: L(-2, 1.5), M(0, 3), N(2, 1.5)

Use the distance formula to find the length of

each side. GH = 4 2 + 3 2 = ⎷ ?? 25 or 5 HJ 4 2 + 3 2 = ⎷ ?? 25 or 5 GJ 8 2 + 0 2 = ⎷ ?? 64 or 8 LM 2 2 + 1.5 2 = ⎷ ?? 6.25 or 2.5 MN 2 2 + 1.5 2 = ⎷ ?? 6.25 or 2.5 LN 4 2 + 0 2 = ⎷ ?? 16 or 4

Find and compare the ratios of corresponding

sides. GH LM 5 2.5 or 2, HJ MN 5 2.5 or 2, G J LN 8 4 or 2 Since GH LM HJ MN G J LN , ?GHJ ≂ ?LMN by SSS similarity. y x y x

Exercises

Graph the original figure and its dilated image. Then verify that the di lation is a similarity transformation.

1. A(-4, -3), B(2, 5), C(2, -3); 2. P(-4, 1), Q(-2, 4), R(0, 1);

D(-2, -2), E(1, 3), F(1, -2) W(1, -1.5), X(2, 0), Y(3, -1.5) 7-6

See students" work.

quotesdbs_dbs5.pdfusesText_9

[PDF] 7-6 - Study Guide and Intervention

Lesson 7-6

NAME DATE PERIOD

Chapter 7 37 Glencoe Geometry

Determine whether the dilation from

Then find the scale factor of the dilation.

Study Guide and Intervention

Similarity Transformations

Example

The distance between the vertices at

3, 4) and (

1, 4) for

The scale factor is 4

The distance between the vertices at (2, 3) and

2) for

The scale factor is 3

NAME DATE PERIOD

Chapter 7 38 Glencoe Geometry

Study Guide and Intervention (continued)

Similarity Transformations

Similarity.

Example

Graph each figure. Since

Use the coordinate grid to find the

Since the lengths of the sides that

Use the distance formula to find the length of

Find and compare the ratios of corresponding

Exercises

1. A(-4, -3), B(2, 5), C(2, -3); 2. P(-4, 1), Q(-2, 4), R(0, 1);

See students" work.