Translating a Figure Horizontally and Vertically

Q. Which of the given sequence of transformations will produce an image similar but not congruent to the original figure?

1. Clockwise rotation of ${15}^o$ and translation by 2 units toward the right
2. Translation by 5 units up, reflection along the y-axis, and dilation with a scale factor of 1.5
3. Dilation with a scale factor of 2 and then dilation with a scale factor of 0.5
4. Reflection along the x-axis and the counterclockwise rotation of ${90}^o$

Q. Which transformation will the preimage $ABCD$ undergo to obtain the image $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }?$

1. Reflection
2. Translation
3. Dilation
4. Rotation

Q. Given below are two rectangles ABCD and EFGH drawn on the coordinate plane with coordinate values shown at all the vertices. Which of the following sets of transformations has been applied to get rectangle EFGH from ABCD?

1. Clockwise rotation of ${270}^o$, translation of 6 units right, and dilation about (1, 4) with scale factor of 2.25
2. Counterclockwise rotation of ${90}^o$, translation of 6 units up, and dilation about (1, 4) with a scale factor of 2.5
3. Reflection along the x-axis, dilation with a scale factor of 4.5, and reflection along the y-axis
4. Translation of 6 units right, translation of 6 units up, and dilation about (1, 4) with a scale factor of 2.5

Q.

The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Identify the type of dilation.

$\mathrm{P}(-3,-2),\mathrm{Q}(-3,0),\mathrm{R}(0,0);\mathrm{k}=4$

Q. Triangle $ABC$ goes through which of the following transformations to obtain the image $DEF?$ Also, choose the correct relation between the corresponding angles of the image and the preimage.

1. Translation of $1$ unit in right, $\angle D=\angle A,\angle E=\angle B,\text{and}\angle F=\angle C$
2. Translation of $1$ unit in right, $\angle A=\angle F,\angle B=\angle D,\text{and}\angle C=\angle E$
3. Clockwise rotation of ${90}^{\circ },\angle B=\angle E,\angle A=\angle F,\text{and}\angle C=\angle D$
4. Counterclockwise rotation of ${90}^{\circ },\angle A=\angle E,\angle B=\angle D,\text{and}\angle C=\angle F$

Q.

The vertices of a triangle are $\mathrm{A}(2,5),\mathrm{B}(1,2)$ and $\mathrm{C}(3,1)$. Find the coordinates of the image after the transformations given. Dilate with respect to the origin using a scale factor of $2$. Then, translation $2$ units left and $1$ unit up.

Q. Which transformation will the preimage ABCD undergo when you move/slide it 4 units left and 6 units upwards to obtain the image A'B'C'D'?

1. Reflection
   
2. Rotation
   
3. Dilation
   
4. Translation
   

Q.

The red figure is similar to the blue figure. Describe a similarity transformation between the figure.

Q. Badge ABC is translated 2 units right and two units down to get triangle A'B'C'

Which of the following statements is not true?

1. $\angle B\ne \angle B^{\prime }$
2. Both AC and A'C' have the same length.
3. All of the above
4. B and B' does not have the same coordinates.

Q. A number of blocks are provided and they need to be arranged in the shape of a big square.
Which of the following blocks fits into the big square by just following translation?

1. Q
2. U
3. V
4. T

Q. Describe the location of the blue figure relative to the location of the orange figure, and identify the type of transformation.

1. The orange figure was reflected along the $y$-axis.
2. The orange figure was translated $4$ units in the direction of the positive $x$-axis and $2$ units in the direction of the negative $y$-axis.
3. The orange figure was translated $6$ units in the direction of the positive $x$-axis and $3$ units in the direction of the negative $y$-axis.
4. The orange figure was rotated $90°$ about the origin.

Q.

The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Identify the type of dilation.

$\mathrm{B}(3,3),\mathrm{C}(3,6),\mathrm{D}(6,6),\mathrm{E}(6,3);\mathrm{k}=\frac{1}{3}$

Q. Describe the location of the blue figure relative to the location of the orange figure and identify the type of transformation.

1. The orange figure was rotated ${90}^{\circ }$ about the origin.
   
2. The orange figure was translated 6 units in the positive $x$ direction and 3 units in the negative $y$ direction.
3. The orange figure was translated 4 units in the positive $x$ direction and 2 units in the negative $y$ direction.
4. The orange figure was reflected along the $y$-axis.
   

Q. Which of the following statements are correct regarding the transformation of Figure A to Figure A'?

1. Translation transformation. Figure A is moved 5 units right and 2 units down.
2. Translation transformation. Figure A is moved 5 units left and 2 units down.
3. Translation transformation. Figure A is moved 5 units right and 2 units up.
4. Translation transformation. Figure A is moved 5 units left and 2 units up.