Transformations and Similarity Unit Test
4 of 154 of 15 Items
Question
Use the image to answer the question.
An illustration shows an 11 by 9 grid with 4 triangles on it. Figure 1 is an obtuse triangle that extends from top of the 2nd to end of 5th rows, starting in the 4th and ending in the 5th columns. The perpendicular line is 3 units down the left side of column 4, from the 2nd to 4th rows. From that point the next side runs to the corner of row 5, column 5. Figure 2 is an isosceles triangle that extends from the top of 3rd to the bottom of the 4th row, and across columns 7 and 8. The base extends for 2 units and the perpendicular height is 2 units. Figure 3 is an inverted obtuse triangle that extends from approximately the 5th to approximately the end of the 7th rows, and approximately the 1st to 6th columns. The triangle is inclined at an angle and the vertex is between the 3rd and 4th columns at the bottom of the 7th row. Figure 4 extends from the top of 6th to the bottom of 8th rows, in the 8th and 9th columns. The perpendicular line is 3 units high along the left side of the 8th column. A vertex is at the bottom of row 7, column 9.
Which figure is similar to Figure 1?(1 point)
@StepByStepBot
To determine which figure is similar to Figure 1, we need to find a figure that has the same shape, but may be a different size or orientation.
From the description, Figure 1 is an obtuse triangle that extends from the top of the 2nd to end of the 5th rows, starting in the 4th and ending in the 5th columns.
Let's analyze the other figures:
- Figure 2 is an isosceles triangle that extends from the top of the 3rd to the bottom of the 4th row, and across columns 7 and 8. It is not similar to Figure 1 because it has a different shape.
- Figure 3 is an inverted obtuse triangle that extends from approximately the 5th to approximately the end of the 7th rows, and approximately the 1st to 6th columns. It is not similar to Figure 1 because it has a different shape.
- Figure 4 extends from the top of the 6th to the bottom of the 8th rows, in the 8th and 9th columns. It is not similar to Figure 1 because it has a different shape.
Therefore, none of the other figures are similar to Figure 1.