Transformations
Which of the following is NOT a rigid transformation?
a. Translation
b. Rotation
c. Reflection
d. Dilation
D. Dilation
A word for 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 REFLECTION
What do we say instead of rotating to the right and to the left. (directions)
Clockwise and counterclockwise.
What two things stay the same during a rigid transformation
Size and Shape
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 (x+4, y-3)
B. A translation of (x-4, y+3)
C. A rotation of 90° clockwise
D. A reflection over the x-axis
A. A translation of (x+4, y-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°
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?
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'=(13,1)
How is a reflection different from a translation?
Reflection FLIPS/MIRRORS the polygon whereas translation SLIDES the polygon.
Translations keep the same orientation
True or False.
Rotating a point 180° clockwise will bring it to the same location as rotating that point 180° counterclockwise
True
Emma takes one triangle and reflects it over its right side to create a rhombus. Then, she rotates this image 120° counterclockwise around its center point. How many rigid transformations did Emma perform in total, and what are they?
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'= (-2, -4)
The reflection of the point B=(-3,-9) over the y-axis.
B'=(3,-9)
Rotations are measured in __, and can go either clockwise or counterclockwise.
Degrees
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, and then it is reflected over the y axis
A''=(-3,-6)
If I start in quadrant 4 and undergo a 270 degree rotation, counterclockwise, what quadrant am I now in?
Quadrant 3