Vocabulary
The geometric figure on the graph before it is transformed.
Pre-Image
What are the coordinates of the origin?
(0,0)
Positive rotations
Counter-clockwise
Translate point M(-3, 5) along <-2, -4>.
M'(-5, 1)
What step takes the center of rotation and changes the signs of the coordinates?
First step
When two or more lines meet at a point.
Vertices
When does quarter 3 end?
3/25/2022
Switch the rules for 90 and 270 degrees to rotate.
Clockwise
Rotate line segment P(2, 2) L(3, 3) 180 degree counter-clockwise.
P'(-2, -2) L'(-3, -3)
Step two translates the geometric figure. Translate point (-4, 5) using vector <3, -2>.
(-1, 3)
The term for a point on the coordinate plane a geometric figure turns around.
Center of Rotation
In what decade was Mr. Menard born?
1980s.
Rotating triangle V(2, 3) B(-4, 6) W(-5, -7) -37 degrees about point (5, 6)
Clockwise
Triangle BCD was rotated 270 degrees to B(-2, -5) C(-6, -7) D(-1, -9) about point (3, 6). Complete step four to finish the rotation.
B'(1, 1) C'(-3, -1) D'(2, -3)
Step three rotates the geometric figure. Rotate line segment V(2, 3) W(-4, -1) 180 degree clockwise about the origin.
V'(-2, -3) W'(4, 1)
A transformation that is slid across the coordinate plane.
Translation
Name each family member in Rick and Morty.
Rick, Morty, Summer, Jerry, and Beth.
What is the clockwise degree rotation?
270 degrees
Triangle GHJ has vertices of G(-2, 5) H(-7, -9) J (5, -8). Rotate the triangle 270 degrees clockwise about the origin.
G'(-5, -2) H('9, -7) J'(8, 5)
Step four translates the geometric figure back toward the origin. What do you use as a translation vector?
The center of rotation.
Define congruent.
Two figures that are identical in shape, size, etc.
How many days are left in the school year?
56-57
Rotate triangle T(3, -3) S(3, -5) V(-7, 7) 90 degrees counter-clockwise about the origin and translate it along vector <1, 3>
T'(4, 6) S'(6, 6) V'(-6, -4)
Triangle XYZ has vertices X(1, 1), Y(3, 4) and Z(4, 3). Graph ∆XYZ and its image after a rotation of 270° clockwise about (3, 1).
X'(3, -1) Y' (0, 1) Z' (1, 2)
Rotate triangle F(2, -4) G(4, -3) H(7, -1) 90 degrees about the origin.
F'(4, 2) G'(3, 4) H'(1, 7)