ALL TRANSFORMATIONS
Translations
Reflections
Rotations
Dilations
100
The transformation know as a slide.
What is a Translation.
100
What operations are used to perform a translation?
What is adding and subtracting?
100
Given the reflection below, over which axis is the line reflected?
Reflection over the x - axis.
100
DOUBLE POINT (MUST answer BOTH)
What are the three different degrees an image is rotated?
What are the two directions an image is rotated?
What 90, 180, 270 degrees?
What is clockwise and counterclockwise?
100
What operation is used to perform a dilation?
multiplication.
200
The transformation know as a turn.
What is rotation.
200
Triangle ABC is translated 7 units to the left and 8 units up. What algebraic representation describes this translation?
A) (x, y) --> (7x, 8y)
B) (x, y) --> (x + 8, y - 7)
C) (x, y) --> (x - 7, y + 8)
D) (x, y) --> (8x, 7y)
What is C?nant
(Reasoning: movement to the left subtracts from the x - coordinate, movement up adds to the y - coordinate)
200
Given the reflection below, over which axis was the image reflected?
Over the y - axis.
200
FREE 200 POINTS
WHAT IS FREE POINTS.
200
Which dilation rule describes a reduction?
A) (x, y) --> (x - 5, y - 3)
B) (x, y) -> (2/3 x, 2/3 y)
C) (x, y) -> (5/3 x, 5/3 y)
D) (x, y) -> (-x, -y)
What is C?
(Reasoning: In a dilation a scale factor less than 1 will shrink your image. 2/3 = .66, which is less than 1)
(Answer A: represents a translation
(Answer C: is an enlargement)
(Answer D: represents a rotation of 180 degrees)
300
The transformation know as a flip.
What is a reflection.
300
DOUBLE POINTS: If incorrect the lose double the points
Triangle ABC is translated 5 units right. What algebraic representation describes this translation?
A) (x, y) --> (5x, 5y)
B) (x, y) --> (x + 5, y + 5)
C) (x, y) --> (x + 5, y)
D) (x, y) --> (5x, y)
What is C? (x + 5, y)
(Reasoning: ABC was only translated 5 units to the right, therefore, only slid to the right. The triangle was NOT slid up or down, therefore, not affecting the y - coordinate)
(A is incorrect because it represents a dilation)
(B is incorrect because the image was not slid up or down)
(C is incorrect because its multiplying)
300
A rectangle ABCD is graphed on a coordinate grid and reflected over the y - axis to create A'B'C'D. Which ordered pair represents any point on A'B'C'D'?
A) (x, y) C) (y, x)
B) (-x, y) D) (x, -y)
What is B (-x, y).
(Reasoning: when reflecting over the y-axis, y stays the same and x changes to the opposite)
300
CHALLENGE QUESTION: (TRIPLE POINTS)
Given coordinate D (3, -5) and D' (-3, 5), which algebraic representation describes the transformation?
A) (x, y) --> (x, y) B) (x, y) --> (-x, -y)
C) (x, y) --> (y, x) D) (x, y) --> (-x, y)
What transformation is this describing?
What how many degrees?
(MUST ANSWER ALL THREE PARTS)
What is B? Its a Rotation and Its 180 degrees
(Reasoning: x coordinate became the opposite ,
y - coordinate also became the opposite. Both stayed in the same position)
300
Which dilation rule describes an enlargement?
A) (x, y) --> (x + 8, y + 8)
B) (x, y) --> (2x, 5y)
C) (x, y) --> (.50x, .50y)
D) (x, y) --> (6x, 6y)
What is D? (x, y) --> (6x, 6y)
(Reasoning: In a dilation a scale facto greater than 1 will enlarge the image)
(A is incorrect because it represents a dilation)
(B is incorrect because the x and y must have the same scale factor)
(C is incorrect because .50 is less than 1 and will result in a reduction of an image)
400
The transformtion that changes the size of an image.
What is a Dilation?
400
DOUBLE POINTS: Triangle ABC is translated 8 units to the up and 7 units left. What algebraic representation describes this translation?
A) (x, y) --> (7x, 8y)
B) (x, y) --> (x + 8, y - 7)
C) (x, y) --> (x - 7, y + 8)
D) (x, y) --> (8x, 7y)
What is C? (x - 7, y +8)
(Reasoning: 8 units up (y + 8) and 7 units left (x - 7). Then must be written as x - 7, y + 8.
(A and D are incorrect because they represent dilations)(B is incorrect they are switched)
400
A circle is graphed on the coordinate grid and then reflected over the x - axis. The original circle was located at (x, y). Which ordered pair represents the coordinates of the new circle after the reflection?
A) (-y, x) B) (-x, y)
C) (x, -y) D) (-x, -y)
What is C (x, -y)
Reasoning: When reflected over the x -axis, the x - coordinate stays the same and the y - coordinate changes to the opposite.
400
DOUBLE POINTS: (You must justify your answer)
Triangle ABC is rotated 90 degrees clockwise to create A'B'C'. What rule represents the transformation?
A) (x, y) -> (-x, -y)
B) (x, y) -> (-y, x)
C) (x, y) -> (y, -x)
D) (x, y) -> (-x, y)
If incorrect, you lose double the points
What is C? (x, y) -> (y, -x)
(Reasoning: EX: C (4, -2) to C' (-2, -4)
x and y switched position and the original x became the opposite)
(A is incorrect, because it represents 180 degrees rotation)
(B is incorrect because the original y did not change to the opposite value)
(C is incorrect because it represents the rule of a reflection)
400
What rule describes the dilation?
A) (x, y) → (25x, 25y)
B) (x, y) → (.25x, .25y)
C) (x, y) -> (2x, 2y)
D) (x, y) -> (4/3 y, 4/3 y)
What is B?
(Reasoning: the dilation represents a reduction. .25 is less than 1, therefore, a reduction.)
(A, B and C are incorrect because the scale factors are greater than 1 and will result in an enlargement)
500
In which two transformation does the orientation change?
What is a reflection and rotation.
(Reasoning: when the image is turned, the coordinates no longer face in the same direction. and when an image is flipped over the x or y axis, the coordinates no longer face in the same direction.)
500
TRIPLE POINTS:
Triangle ABC is translated 9 units to the down and 6 units right. Write the algebraic representation describes this translation?
MUST WRITE THE WHOLE RULE CORRECTLY.
(If incorrect then you lose triple the points)
What is (x, y) -> (x + 6, y - 9)
500
DOUBLE POINTS (1000 points):
Given the coordinate B (-6, 5) and B' (-6, -5)
What is the rule? Write it
Over which line was the coordinate reflected over?
(MUST ANSWER BOTH)
RULE: (x, y) --> (x, -y)
Reflection over the x - axis.
(Reasoning: x - coordinate stayed the same, and the y - coordinate changed to the opposite. Therefore, this is a reflection over the x -axis)
500
What is F?
(Reasoning: In a 180 rotation, x and y coordinate become the opposite of the original, but do not switch positions)
500
DOUBLE POINTS: (if you get incorrect, you lose double the points)
Polygon FGH is graphed on the coordinate grid with the vertices F(7, -9)), G(-3, 8), and H(5, -2) . Polygon EFG is dilated by a scale factor of s with the origin as the center of dilation to create F'G'H'
Which ordered pair represents the coordinates of H’?
A) (x + 5, y - 2)
B) (5s, -2s)
C) (x - 5, y + 2)
D) (5/s, -2/s)
What is B? (5s, -2s)
(Reasoning: The scale factor is s. When the scale factor is applied to H (5, -2), to find H', s will be multiplied by both 5 and -2).
(A and C are incorrect because the rules represent translation)
(D is incorrect because x and y are divided by the scale factor of s, not multiplied)