Review topic test Transformations and Congruence

$$\overrightarrow{CD}$$

$$\overrightarrow{DC}$$

$$\overline{CD}$$

Segment PR

Ray PR

Line PR

Plane PR

Ray T

Plane T

Line T

Sheet of paper

$$\angle ABD$$

$$\angle BAD$$

$$\angle ADB$$

$$\overrightarrow{AB}$$

$$1$$

V1

$$\overrightarrow{1}$$

$$\angle1$$

$$\overrightarrow{TS}$$

$$\overrightarrow{ST}$$

$$\overline{ST}$$

$$\overleftarrow{ST}$$

$$\overline{DG}\ \ \parallel\ \ \overline{KT}$$

$$\overline{DG\ }\ \perp\ \overline{KT}$$

$$JT\ \cong KJ$$

4 + 3x + 2 = 7x - 2

7x - 2 + 4 = 3x + 2

7x - 2 + 3x + 2 = 4

TM = 15, MS = 15

TM = 7.5, MS = 7.5

TM = 7.5, MS = 15

TM = 15, MS = 7.5

x = 15

x = 6

x = 9

x = 3

x = 15

x = 6

x = 9

x = 3

90°

180°

45°

60°

2

4

6

8

multiples of 30

multiples of 45

multiples of 90

multiples of 180

0

1

2

4

Is symmetrical

not symmetrical

Reflection over both axes

Reflection, then rotation

Translation, then reflection

Rotation, then translation

Reflection, then translation

Rotation, then translation

Reflection, then rotation

Rotation, then dilation

Translation 5 units down, reflection over the y-axis

Reflection over the x-axis, translation 6 units right

Rotation 90^o clockwise, reflection over the x-axis

Rotation 180^o clockwise, reflection over the y-axis

Reflect across the x-axis and then rotate -90 degrees cw around the origin

Rotate 90 degrees cw around the origin and then translate down.

Reflect across the x-axis and then reflect across the y-axis.

Translate up and then rotate 90 degrees ccw about the origin.

Translation, then a reflection over the y-axis.

Reflection over the x-axis, then a translation.

Rotation, then a reflection over the y-axis.

Reflection over the y-axis, then a translation.

$$\left(x,\ y\right)\rightarrow\left(-x,\ y\right)$$

$$\left(x,\ y\right)\rightarrow\left(2x,\ 2y\right)$$

$$\left(x,\ y\right)\rightarrow\left(x+3,\ y\right)$$

$$\left(x,\ y\right)\rightarrow\left(-y,\ x\right)$$

$$\left(x,\ y\right)\rightarrow\left(0.4x,\ 0.4y\right)$$

$$P'\left(-4,\ 1\right)$$  

$$P'\left(-4,\ -1\right)$$  

$$P'\left(1,\ -4\right)$$  

$$P'\left(-1,\ -4\right)$$  

Reflexive Property

Definition of Midpoint

Given

Vertical Angles Theorem

GI

PI

PG