Miscellaneous
We have learned about four different types of transformations: They are ____, _____, _____, _____
Translation, Reflection, Rotation, Dilation
DOUBLE POINTSX4
Name a property of a translation.
Orientation is preserved. It is a rigid motion.
Name a property of a reflection
Distance is preserved. This is a rigid motion. Orientation is not preserved.
DOUBLE POINTS X2
Name a property of rotation
It is a rigid motion.
Name a property of Dilation
Orientation is preserved, angle size stays the same
Use one word to describe each of the transformations.
1.Translation
2.Reflection
3.Rotation
4.Dilation
1.Translation= Slide/Shift
2. Reflection= Flip/Mirror
3. Rotation= Turn/Revolve
4. Dilation= Enlarge/Make Bigger &Reduce/Shrink
A figure is translated T(3,-3). A translation of how many units to the left and right will move the image back to its original position (pre-image)?
T(-3,3)
If I have the points M(-4,4) H(-5,1) T(-3,1) A(-2,2). The image now has the points M'(4,4) H'(5,1) T'(3,1) A'(2,2). True or false, This is a reflection over the x-axis?
False
A’(3, 3) is the image of A under R270. What are the coordinates of the pre-image?
(3,-3)
A triangle goes from (-2,-2) (-1, 2) (2,1) to (4,4) (2,-4) (-4,-2). What is the scale factor?
A. -2
A non-regular figure is reflected over the x-axis and then reflected over the y-axis. Is there a single transformation using reflections that maps the preimage onto the image? Justify your reasoning. (2X the points)
No. Nonregular figures do not reflect over the origin evenly
Where is the final point after the translation (x,y)--> (x+5, y+3). Then (x+2, y-4). Then (x-3, y-3) if you are starting at the point (-3, 2)
Point (1,-2)
Triangle ABC has vertices A(1,4) B(2,7) C(5,4) Its image has vertices A'(1,0) B'(2,-4) C'(5,0). Graph the triangles and draw the line of reflection. Write the line of reflection.
Y=2
Given and the transformation, what kind of transformation is T(x,y)= T(-x,y)? (AKS 34) | ||
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D. Reflection across the y-axis
What are the coordinates of the image of point B under a dilation with the center at the origin? The scale factor is 1/3. The original points are A(3,0) B(-3-3) C(3,-1)
B. (-1,1)
The image of the point (4,-3) under a reflection across the x-axis is (-4,-3). Is this true or false?
False (4,3)
The image of rhombus VWXY preserves which properties under the transformations T4, -3 ? Parallelism= after a transformation, the lines of the original image and the lines of the image are parallel.
(AKS 34)
C
The vertices of parallelogram ABCD are A(2,0) B(0,-3) C(3,-3) D(5,0). If ABCD is reflected on the point (2,0) how many vertices remain invariant?
2
Rotate the Shape 90. What are the new coordinates?
A(3,-2) B(7,-2) C(3,-6) D(7,-6)
A(2, 3)B(2, 7)
C(6, 3)D(6, 7)
11. | Which 2 transformations preserve orientation? (AKS 34) | ||
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A. Translation
B. Dilation
Find the scale factor and the center of dilation for a triangle whose original points ABC are A(-7,3) B(-7,1) C(-2,2) and the image, whose points are A'(-2,0)B'(-2,-1)C'(0.5, -0.5)
S.F= 1/4
C.D= 3,-3
Triangle ABC is translated 7 units right, then rotated 90° about the origin. The vertices of the triangle A"B"C"are A"(6,-1)B"(0,-1)C"(0,-7). Find the coordinates of the original triangle ABC. (AKS 37)
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B
The image of the point (-5,4) under a reflection across the x-axis is (5,4). Is this true or false?
False
Double 2x the POINTS
The vertices of parallelogram ABCD are A(2,0) B(0,-3) C(3,-3) D(5,0). If ABCD is rotated on the point (2,0) how many vertices remain invariant
1
Double X2 Points
If a pentagon is rotated clockwise around its center, the minimum number of degrees it must be rotated to map the pentagon onto itself is: (AKS 35)
B. 72 Degrees