Unit 3 Lesson 3 – Dilations on the Coordinate Plane.

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Unit 3 Lesson 3 – Dilations on the Coordinate Plane

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Page 12 They are well scaled dilations - scale factor 2. They are the same shape and size. A Translation

Transcript of Unit 3 Lesson 3 – Dilations on the Coordinate Plane.

Page 1: Unit 3 Lesson 3 – Dilations on the Coordinate Plane.

Unit 3Lesson 3 – Dilations on the Coordinate Plane

Page 2: Unit 3 Lesson 3 – Dilations on the Coordinate Plane.

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C

A

B

C”

A B

Page 3: Unit 3 Lesson 3 – Dilations on the Coordinate Plane.

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They are well scaled dilations - scale factor 2. They are the same shape and size.

A Translation

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Reflection Rotation Translation

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Yes, they change the size of a figure.

No, they change the size of a figure and rigid motions only change the position of the figure.

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All angle measure is preserved but the sides are three times larger.

All angle measure is preserved but the sides are smaller by half.

The figure is unchanged.

Multiplication

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(𝑘𝑥 ,𝑘𝑦 )

(4, -8)

(3, 5)

(2x2, -4X2)=

(9x, 15X)=

(-4, 6)(-16, 24)x

Scale factor of 4

(-4, 6)(-10, 15) Scale factor of X

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.𝑁

.𝐴.𝑃

N(2, 8)

A(-6, 0)

P(4, -2)

A’(-3, 0)

P’(2, -1)

N’(1, 4)

𝐷𝑜 , 12

.𝐴 ′.𝑁 ′

. P

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.𝐵 .𝐴

.𝐶

A(1, 3)

B(-2, 2)

C(0, -2)

B’(1, 0)

C’(3, -4)

A’(4, 1)

𝐷𝑜 ,2𝑇 3 ,− 2

A”(8, 2)

B”(2, 0)

C”(6, -8).𝐵 ′

.𝐴 ′

.𝐶 ′

.𝐵.𝐴

.𝐶

Page 10: Unit 3 Lesson 3 – Dilations on the Coordinate Plane.

Homework

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