Unit 3Lesson 3 – Dilations on the Coordinate Plane

Page 12

C

A

B

C”

A B

Page 12

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

A Translation

Page 13

Reflection Rotation Translation

Page 13

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.

Page 14

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

Page 14

(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

Page 15

.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

Page 16

.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

Homework

•Page 17 - ALL