Ch. 4 1st Quiz

Question 1

Translation

Answer 1

Movement without change of attributes to the figure.

Question 2

Component Form

Answer 2

Combination of horizontal/vertical components. Written like an ordered pair.

Question 3

Coordinate Form

Answer 3

Describes a single point in a coordinate plane.
(x,y)
X- how far left or right the point is
Y- how far up or down the point is

Question 4

Reflection

Answer 4

A transformation over line m that maps each pt
Known as a flip. A reflection is a mirror image of the shape. The image will reflect through the reflection line.

Question 5

X-axis Reflection

Answer 5

(x,y) -> (x,-y)

Question 6

Y-axis Reflection

Answer 6

(x,y) -> (-x,y)

Question 7

y = x

Answer 7

(x, y) -> (y,x)

Question 8

When y=# or x=#…

Answer 8

Count from line to another side

Question 9

Glide Reflection

Answer 9

Composition of Translation/Reflection

Question 10

How to show the minimum distance

Answer 10

1] Reflect one pt. over x-axis
2] Find eq. of new line
3] Plug in zero for y

Question 11

Rotation

Answer 11

Transformation in which a figure is turned about a fixed point called the center of rotation.

Question 12

Clock-Wise Rotation 90 degrees

Answer 12

(x,y) -> (y,-x)

Question 13

Counter Clock-Wise Rotation 90 degrees

Answer 13

(x,y) -> (-y,x)

Question 14

Clock-Wise and Counter Clock Wise Rotation 180 degrees

Answer 14

(x,y) -> (-x,-y)

Question 15

Clock-Wise Rotation 270 degrees

Answer 15

(x,y) -> (-y,x)

Question 16

Counter Clock-Wise Rotation 270 degrees

Answer 16

(x,y) -> (y,-x)

Question 17

Congruent Figures

Answer 17

Two figures are congruent iff there is a rigid motion or a composition of rigid motion.

Question 18

Rigid Motion/Isometry

Answer 18

When you move it, its attributes don’t change

Question 19

Double Reflection - Translation
Better Definition

Answer 19

If two lines are parallel, then two reflections equal a translation

Question 20

Double Reflection - Rotation

Answer 20

If two lines intersect at a pt, then a reflection in the vertical line followed by a reflection in the horizontal line is a rotation about the point.

Question 21

Angle of Rotation

Answer 21

The angle of rotation about a point is 2 times the original acute or right angle.

Question 22

Dilation

Answer 22

Transformation in which a figure is enlarged or reduced w/ respect to a fixed point.

Question 23

True or false:
Dilation is an isometry

Answer 23

False
Dilation is not an isometry

Question 24

True or false:
Dilation is an isometry

Answer 24

False
Dilation is not an isometry

Question 25

Scale Factor

Answer 25

The ratio of lengths corr. sides of image and pre-image.

Question 26

Formula for scale factor of dilation

Answer 26

K= CP1/CP

Question 27

Enlargement vs. Reduction

Answer 27

K>1 (enlargement)
K<1 (reduction)

Question 28

Notes to remember

Answer 28

If P is the center point (C), then P=P1
If P is not the center point (C), then P1 lies on ray CP
Angles are preserved

Question 29

Coordinate rule for dilation

Answer 29

If P(x,y) is a pre-image of a pt, then its image after dilation is centered at the origin (0,0) w/ scale factor K is pt. P1 (kx, ky)

Question 30

LOS Equilateral Triangle

Answer 30

3

Question 31

LOS Regular Pentagon

Answer 31

5

Question 32

LOS Rhombus

Answer 32

2

Question 33

LOS Kite

Answer 33

1

Question 34

LOS Isotrap

Answer 34

1

Question 35

LOS Square

Answer 35

4

Question 36

LOS Hexagon

Answer 36

6

Question 37

LOS Rectangle

Answer 37

2

Question 38

LOS Parallelogram

Answer 38

0