RTI 4.4 Congruence and Transformations

​RTI 4.4 Congruence and Transformation

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​ " Change is inevitable, but transformation is by conscious choice."

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​-Heather Ash Amara

Multiple Choice

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3) #3

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Describe the transformations that map ABC onto A"B"C". #8

• translate 5 up and 1 left then reflect over y

• translate 5 down and 1 left, then reflect over y

• reflect over y=x then translate left 8

• reflect over x then rotate 90 clockwise

Multiple Choice

Which of the following are congruence transformations?

• Rotations

• Translations

• Reflections

• All of the above

Multiple Choice

What is the transformation from Triangle ABC to Triangle A''B''C''? #27

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

Multiple Choice

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? $$\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)$$  then reflected over the  $$y-axis?$$   (Reflection over y-axis (x, y) → (-x, y) #20

• $$P'\left(-4,\ 1\right)$$  

• $$P'\left(-4,\ -1\right)$$  

• $$P'\left(1,\ -4\right)$$  

• $$P'\left(-1,\ -4\right)$$  

Multiple Choice

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? $$\left(x,y\right)\rightarrow\left(x,\ y+3\right)$$  then rotated  $$270\degree$$   counter clockwise about the origin.

 270 degree CCW is (x, y) →

 (y, –x). NOT ON THE PACKET

• $$P'\left(-7,\ 6\right)$$  

• $$P'\left(-7,\ -6\right)$$  

• $$P'\left(6,\ -7\right)$$  

• $$P'\left(6,\ 7\right)$$  

Multiple Choice

What is the ordered pair for the final location of P( 7, -3) after this series of transformations?   $$\left(x,\ y\right)\rightarrow\left(5x,\ 5y\right)$$  then  $$\left(x,\ y\right)\rightarrow\left(-x,y\right)$$  and then clockwise  $$180\degree$$  (x, y) → (–x, –y) about the origin. #14

• $$P'\left(15,\ 35\right)$$  

• $$P'\left(-15,\ -35\right)$$  

• $$P'\left(35,\ 15\right)$$  

• $$P'\left(-35,\ -15\right)$$  

Multiple Choice

Figure WXYZ is transformed using the rule (x, y) → (x -4, y +2) then a reflection over the y-axis, (x, y) → (–x, y).

Point W of the pre-image is at (1, 6).

What are the coordinates of point W" on the final image? #25

• (–5, 8)

• (–3, –8)

• (5, –8)

• (3, 8)