Use the image to answer the question.
An illustration shows an 11 by 10 grid that has 3 rectangles on it. Figure 1 covers the 2nd row in the 3rd through 6th columns, for a total of 4 units. Figure 2 covers the 2nd to 9th rows in the 9th and 10th columns, for a total of 16 units. Figure 3 covers the 4th to the 7th rows in the 4th and 5th columns, for a total of 8 units.
Which combination of figures are similar and why?
(1 point)
Responses
Figure 1 and Figure 2; the side lengths are proportional and corresponding angles are equal.
Figure 1 and Figure 2; the side lengths are proportional and corresponding angles are equal.
Figure 2 and Figure 3; the figures are both vertical.
Figure 2 and Figure 3; the figures are both vertical.
Figure 1, Figure 2, and Figure 3; all figures are rectangles.
Figure 1, Figure 2, and Figure 3; all figures are rectangles.
Figure 1 and Figure 3; one figure is larger than the other.
Figure 1 and Figure 2; the side lengths are proportional and corresponding angles are equal. This is because both Figure 1 and Figure 2 are rectangles with sides that are in proportion to each other and have corresponding angles that are equal.
Use the image to answer the question.
An illustration shows a 13 by 9 grid with 4 triangles and a rectangle on it. Figure A is a right triangle that extends from the top of the 2nd to the end of the 3rd rows, in the 3rd column. The base is 1 unit wide along the bottom of row 3 in column 3, and the perpendicular line is 2 units high the left side of column 3. Figure B is a right triangle with a base that runs 6 units along the bottom of row 4 from column 7 through column 12. The perpendicular edge runs 3 units along the left edge of column 7, from row 2 to 4. Figure C, a rectangle, covers the 5th and 6th row units in column 2. Figure D, an inverse right triangle, extends from the top of the 6th to the end of the 8th rows, in column 5. The base occupies the top of 6th row for 1 unit, and the perpendicular line for 3 units on right side of the 5th column. Figure E, a right triangle, extends from the top of 6th to the end of the 8th rows, in columns 9 and 10. The base occupies the bottom of 10th row for 2 units and the perpendicular line runs for 3 units on the left side of column 9.
Which figure can you describe as similar to Figure A?
(1 point)
Responses
Figure D
Figure D
Figure E
Figure E
Figure C
Figure C
Figure B
Figure D. Figure D is similar to Figure A because both are right triangles with a perpendicular edge that is 2 units high.
Use the image to answer the question.
An illustration shows two squares labeled Figure 1 and Figure 2 placed on a 12 column by 10 row grid. Figure 2 is rotated on an angle and larger than Figure 1. Figure 1 extends from the top of the 3rd to the bottom of the 5th row and the start of the 2nd to the end of 4th columns. The sides extend for 2 units on each side of the grid. Figure 2 in inclined at an angle. The right vertex is in the 5th row in the 12th column. The bottom vertex is at the bottom of the 9th row between the 8th and 9th columns. The left vertex is in the 6th row in the 4th column. The top vertex is in the 1st row in the 7th column.
Describe the sequence of transformations that exhibits the similarity between Figures 1 and 2.
(1 point)
Responses
rotation and dilation
rotation and dilation
rotation and reflection
rotation and reflection
translation and reflection
translation and reflection
translation and dilation
rotation and dilation.
Use the image to answer the question.
An illustration shows two rectangles of the same size and shape labeled Figure 1 and Figure 2 placed on a 9 column by 10 row grid. Figure 1 extends from the top of the 3rd row to the bottom of the 3rd row and the start of the 3rd column to the end of the 5th column. Figure 2 extends from the top of the 6th row to the bottom of the 8th row and the start of the 7th column to the end of the 7th column.
Describe the sequence of transformations that exhibits the similarity between Figures 1 and 2.
(1 point)
Responses
rotation and dilation
rotation and dilation
rotation and translation
rotation and translation
translation and reflection
translation and reflection
reflection and dilation
translation and reflection
Use the image to answer the question.
An illustration shows five triangles labeled Figure 1 through Figure 5 placed on a 14 column by 12 row grid. Figures 1, 2, 3, and 5 are all the same size. Figure 4 is slightly larger. Figure 1 shows the top vertex on the top of the 3rd row and the start of the 3rd column. The bottom vertex is on the bottom of the 5th row and the start of the 3rd column. The right vertex is between the 3rd and the 4th rows and the end of the 4th column. Figure 2 shows the left vertex between the 3rd and 4th rows and the start of the 9th column. The top vertex in on the top of the 3rd row and the end of the 10th column. The bottom vertex is on the bottom of the 5th row and the end of the 10th column. Figure 3 shows the base left vertex on the bottom of the 6th row and the start of the 5th column. The base right vertex is on the bottom of the 6th row and the end of the 7th column. The top vertex is on the top of the 5th row and between the 5th and 6th columns. Figure 4 shows the base left vertex on the end of the 10th row and in the middle of the 7th column. The base right vertex is on the bottom of the 10th row and the middle of the 13th column. The top vertex is on the beginning of the 7th row and the middle of the 9th column. Figure 5 shows the top vertex on top of the 8th row and the start of the 3rd column. The bottom vertex is on the bottom of the 10th row and the start of the 3rd column. The right vertex is between the 8th and 9th rows and the end of the 4th column.
Which figure would result from rotating and dilating Figure 1?
(1 point)
Responses
Figure 4
Figure 4
Figure 2
Figure 2
Figure 3
Figure 3
Figure 5