Use the image to answer the question.

Question

An illustration shows a 12 by 9 grid that has a parallelogram, a square, and a rotated square on it. Figure 1 is a parallelogram. The top side occupies 3 units along top of the 2nd row from the start of 5th to the end of 7th columns. The bottom side occupies 3 units along the base of the 3rd row, from the start of the 3rd to the end of the 5th columns. Figure 2, a square, extends from the start of the 3rd to the end of the 4th rows, and the start of the 9th to the end of the 10th rows. Figure 3 is a square rotated 45 degrees. It has the top vertex at the top of the 5th row, between the 5th and 6th columns. The right vertex is between the 6th and 7th rows at the end of the 7th column. The bottom vertex is at the end of the 8th row, between the 5th and 6th columns. The left vertex is between the 6th and 7th rows at the start of the 4th column. All the vertices are at the intersection of the grid lines.

Which of the figures in the image are similar? Enter the smaller figure number first followed by the larger figure number.(1 point)
Figure
and Figure
Remaining Attempts : 3

Answer 1

To determine which figures are similar, we need to analyze their shapes and dimensions:

1. Figure 1 is a parallelogram with two pairs of parallel sides. It has a specific orientation and does not have equal angles or sides.
2. Figure 2 is a square, which has all four sides of equal length and all angles equal to 90 degrees.
3. Figure 3 is a square rotated 45 degrees but retains the properties of a square, meaning all sides are equal, and all angles are 90 degrees.

Since a square is a specific type of parallelogram, Figures 2 and 3 are similar to each other, as they both share the square properties. Figure 1 (parallelogram) does not share the similarity due to its different angles and side lengths.

Therefore, the figures that are similar are:

Figure 2 and Figure 3.

Your answer should be:

Figure 2 and Figure 3.