What coordinate point are all rotations rotating around (in 8th grade)?
The origin (0,0).....not the Sun!
100
Which is the algebraic representation of a reflection over the y-axis?
a. (x, y)→ (y, x)
b. (x, y)→ (x, y)
c. (x, y)→ (-x, y)
C
100
A rectangle has length 5 and width 3 and is dilated with a scale factor of 3. What is the new area?
New dimensions are 15 by 9. So area 15 x 9= 135
200
If F is (1,3) what is F’ after the following transformation
(x, y)→ (x - 3,y - 2)
F’ (-2, 1)
200
The transformation has the following rule (3x, 3y).
What is the Scale Factor?
3
200
(x, y) → (-y, x) is the algebraic representation for which degree rotation?
270° clockwise
90° counter clockwise
200
What is another word for a reflection? (Name 2 if you can)
Mirror image
Flip
200
What is the only transformation that DOES NOT preserve CONGRUENCY of the pre image?
Dilation
300
What is the algebraic representation for a translation of:
3 units left and 6 units up.
What is (x - 3, y + 6)
300
Point A (-2,8) transforms to point A' (-3,12). What is the rule?
(x,y)--> (3/2x, 3/2y)
300
If point B is (6,2) what is B’ after a 180° rotation?
B' (-6,-2)
300
What is Z if Z’(-2, 5) and the algebraic representation is
(x, y)→ (-x, y)
Z (2, 5)
300
Scale Factor is new/old...(new divided by old).
What is the Scale Factor if points A (6,3) and B(9,6) dilate to A' (2, 1) and B'(3,2)
Scale Factor is 1/3.
400
Describe this transformation.
(x, y)→ (x+8, y+3)
The pre image translates 8 units right and 3 units up.
400
Triangle ABC has coordinate points A (2,6) B (6,2) C (8, 3).
If the following rule is applied to the triangle, what are the new coordinates?
(x,y) -->(1/2x, 1/2y)
A' (1,3) B' (3,1) C' (4,1.5)
400
90° Clockwise is the same as ________ counter clockwise.
270°
400
If K(3,-6) is reflected over the x-axis, what is the coordinate of point K’?
K' (3, 6)
400
Out of the following rules, which preserve congruency?
A. (x,y)--> (y,-x)
B. (x,y)--> (2x,2y)
C. (x,y)--> (-y, x)
D. (x,y)--> (x -5, y-5)
E. (x,y)--> (1/4x,1/4y)
A, C, and D
500
What is the rule for the following transformation?
A (3,3)
B (-1,3)
C (1,4)
A' (2,0)
B' (-2,0)
C' (0,2)
(x,y)-->(x-1, y-2)
500
Go see your teacher for this question.
Good job! you went to see your teacher and got your paper signed :)
Thank you!
500
Triangle MNP has vertices M(5,4) N(5,9) and P(-1,4). What are the coordinates of the image of point P’ after the triangle is rotated 90° clockwise?
P' (4,1)
500
Is the following a reflection over the x or y axis?
J(-3, 5) → J’ (-3, -5)
x axis because the rule is that the axis you reflect over stays the same.
500
A right triangle ABC has legs 5 and 12. Another similar right triangle DEF has a leg of 10 and a hypotenuse of 26.
What are the 2 missing side lengths of the triangles? (Hint the hypotenuse of the 1st and the leg of the 2nd.... DRAW A PICTURE)
the hypotenuse of triangle ABC is 13.
the leg of triangle DEF is 24.
The Scale factor is 2.