Identifying Transformations
Random/Vocab
Transformations
Angles and Triangles
100
What word do we use to explain a
-Translation
-Reflection
-Rotation
-Slide, move
-Mirror, flip
-Spin, turn
100
Which is the x-axis and which is the y-axis?
x-axis is side to side. y-axis is up and down
100
Which direction is clockwise?
Which direction is counterclockwise?
To the right.
To the left.
100
All the angles in a triangle add up to how many degrees?
180
200
Which will always return a shape to its original position?
a. A translation down three units, up 2 units, then up 2 more units.
b. A rotation 90 degrees clockwise then 180 degrees counterclockwise.
c. Reflect over the y-axis, then reflect over the y-axis again.
C
200
What are vertical angles?
Two angles opposite each other when two lines intersect. They have the same measure.
200
How do you do a translation on a coordinate grid?
Count however far they tell you to move the point to the right, left, up, or down.
200
Name three angles in this diagram.
Many answers
300
What stays the same when a transformation takes place?
What changes when a transformation takes place?
Same:
-The shape
-Size of the shape
-Angles
-Measures
Changes:
-Position
-Orientation
300
How do I plot this point on a graph?
(-5,4)
Start at the origin, go left 5 units, then up 4 units.
300
How do you reflect a point/shape?
Count how far the point/shape is from the line of reflection and count that same distance in the opposite direction.
300
Find the missing angles in the first and last triangle.
65
50
400
Which will never return a shape to its original position?
a. A translation 4 units right, 3 units left, then 1 unit right
b. A reflection over the y-axis, then over the x-axis, then over the y-axis again.
c. A 180 degree clockwise rotation, then a 180 degree counterclockwise rotation
A
400
What does congruent mean?
Same shape and size
400
What would be the coordinates of the point after a 180 degree rotation around the origin?
(-5,2)
400
What four "relationships" can you use to identify unknown angles?
1. A straight line is 180 degrees
2. A triangle's angles add up to be 180 degrees
3. Vertical angles have the same measure
4. You can translate and rotate angles along transversals with parallel lines
500
Identify all of the transformations from the blue shape to the red shape.
1.) translate down and to the right
2.) rotate 90 degrees clockwise
3.) translate down
4.) reflect over the y-axis
5.) rotate 90 degrees clockwise
6.) translate up and to the right
7.) reflect over the x-axis
8.) translate right
500
Identify all of the points on the graph
a: (0,4)
b: (-3,2)
c: (2,-2)
500
What would be the coordinates of point A on the graph after a reflection over the x-axis?
What about over the y-axis?
x-axis: (2,-3)
y-axis: (-2,3)
500
Identify the missing angle (x)
65 degrees