Transformations
Which of the following is NOT a rigid transformation?
a. Translation
b. Rotation
c. Reflection
d. Dilation
D. Dilation
Moving an object about a plane by changing its x value and y value, in other words a sliding movement.
Translation
The line across which a shape is reflected is called the line of __.
Line of REFLECTION
Another word for rotating to the right and rotating to the left. (Two different words, please)
Clockwise and counterclockwise.
Which city did Ms. Hall grow up in?
Carnation, WA
What is the two pieces of information you need in a translation?
Distance and direction.
Sarah drew a triangle on a coordinate plane. She then moved every point of the triangle 4 units to the right and 3 units down. Which of the following describes this transformation?
A. A translation of (4, -3)
B. A translation of (-4, 3)
C. A rotation of 90° clockwise
D. A reflection over the x-axis
A. A translation of (4, -3)
In coordinate geometry, a reflection across the y-axis changes the sign of which coordinate?
a) x-coordinate
b) y-coordinate
c) Both x and y coordinates
d) Neither coordinate
a) x-coordinate
How many degrees does a figure need to be rotated to complete a full turn?
a) 90°
b) 180°
c) 270°
d) 360°
d) 360°
How long has Ms. Hall been a teacher at Centennial?
3 years
Jake is playing with a mirror and notices that when he holds it up to his favorite comic book character, the reflection looks exactly like the original image but reversed. He measures the distance between the comic book and the mirror and finds it's 8 inches. How far behind the mirror's surface does the reflected image appear to be? Explain how this reflection is an example of a rigid transformation and what properties are preserved in the reflected image.
The reflected image appears to be 8 inches behind the mirror's surface.
The image of A=(5,-8) after translating 9 units up and 7 units to the right has been applied.
A'=(12,1)
How is a reflection different from a translation? Provide an example to illustrate your answer.
Reflection FLIPS the polygon whereas translation SLIDES the polygon.
Rotations are measured in __, and can be either clockwise or counterclockwise.
Degrees
How many siblings does Ms. Hall have?
1 sibling (one sister)
Emma is creating a tessellation for her art project using equilateral triangles. She takes one triangle and reflects it over its right side to create a rhombus. Then, she rotates this rhombus 120° counterclockwise around its center point. How many rigid transformations did Emma perform in total, and what are they? Explain why the final shape is congruent to the original rhombus.
Emma performed 2 rigid transformations:
The image of B=(1,3) after 3 units down and 7 units to the left has been applied.
B'= (-6, 0)
The reflection of the point B=(-3,-9) over the y-axis.
B'=(3,-9)
True or False.
A 180° rotation is the same as a reflection over a line.
True
Where did Ms. Hall go to college?
Montana State University, Bozeman MT
The local art museum has a unique floor tile pattern made up of congruent hexagons. The curator wants to rotate one of the hexagonal tiles 90 degrees clockwise around its center point to create a new design. Will this rotation change the size or shape of the hexagon?
No, the rotation will not change the size or shape of the hexagon.
A triangle ABC has vertices at A(1, 2), B(4, 2), and C(2, 5). If this triangle is translated 3 units left and 2 units up, what will be the new coordinates of vertex B?
A. (7, 4)
B. (1, 0)
C. (1, 4)
D. (7, 0)
C. (1, 4)
The image of point A=(3,6) after a reflection over the x-axis.
A'=(3,-6)
How many 90° rotations are needed to complete a full 360° turn?
FOUR 90° rotations
90+90+90+90 = 360
What will Ms. Hall's Name be in April? (Spell it out)
FENTON