Translations
Reflections
Rotations
Compound Transformations
Isometries
100

A translation is when you do what to a figure?

Reflect it over two parallel lines.

100

A reflection is when you do what to a figure?

Make a transformation such that each preimage point  is equidistant across a reflection line from the image point 

and 

that each pair of pre-image, image points makes a line segment perpendicular to the reflection line

100

A rotation is when you do what to a figure?

Reflect it over two intersecting lines.


100

A combination between a reflection and translation.

Glide Reflection

100

What are three types of isometries?

1 reflection, 2 reflections, 3 transformations

200

Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.

(7,16)

200

What does the Reflection Postulate say?

IF its a reflection

THEN 1:1, collinearity, betweenness, distance, angle measure are preserved AND orientation is reversed

200

After you rotate the point (5,4) 180º clockwise, which quadrant would the point be in?

Quadrant III

200

Identify the transformation shown.

Rotation OR Two reflections across intersecting lines.

BONUS 100 points:  How many degrees was this object rotated?  

200

Define the word transformation

a 1 : 1 correspondence of points between a preimage and an image

300

Write the formula notation of point (x,y) after it moves 3 spots to the left and 7 spots up.

(x-3,y+7)

300

Give the coordinates of point (5, -2) after it is reflected over the y-axis.

(-5, -2)

300

How many degrees rotation from blue to green? 

180 Degrees

300

If I wanted to reflect triangle ABC over the line m and then reflect triangle A'B'C' over the line h, how would I write out the transformation leading to A"B"C"?

A"B"C" = (give a complete description of the letters and symbols needed to write out the abbreviation for this transformation)

A"B"C" = Ro Rm (ABC)

300

What is the type of transformation that produces congruent figures.

Isometry

400

What is the translation vector?

or (-4, -4)

400

Give the coordinates of point (x,y) after it is reflected over the x-axis.

(x,-y)

400

If the magnitude of rotation between green and blue is 90 degrees, what is the magnitude of the acute angle between the two lines?

The acute angle is 45 degrees

400

What does the Two Reflection Theorem for Translations say?

Figure distance = (2) parallel line distance

400

What are the two categories of congruent?

Direct and Opposite

500

∆LMN is translated 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)

What are the coordinates for L' M' and N'?

 L'(6,-1), M'(12,0), N'(9,5)?

500

Give the name of the conditional statement below.

IF a figure is made up of points

THEN the reflection image is made up of reflected images of each of those points

Figure Reflection Theorem

500

Give the full name for the following conditional statement.

IF its a rotation  

THEN the angle of rotation between the figures is twice the acute angle measure between the lines.

Two Reflection Theorem for Rotations

500

What is point D (-6,2) after being reflected over the line x=1 and then translated down 3. 

(8,-1)

500

Name one of each:  linear pair, vertical angles, corresponding angles, adjacent angles

linear pair:  1,5 or 6,7 or 9,8

Vertical angles:  6,8 or 9,7

Corresponding angles: assuming lines are parallel! 1,6 or 5,7 or 8,4

Adjacent angles:  1,2 or 2,3 or 3,4 or 4,5 or 5,1 or 6,9 or 9,8 or 8,7 or 7,6