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)
Figure
Skip to navigation

1 answer

To determine which figure is similar to Figure 1, we need to look for triangles that share the same shape characteristics (angles) and side ratios, regardless of size.

  1. Figure 1 is described as an obtuse triangle with its base extending from columns 4 to 5 and a height of 3 units down from column 4.

  2. Figure 2 is an isosceles triangle, which does not match the obtuse nature of Figure 1.

  3. Figure 3 is an inverted obtuse triangle, which may have similar properties (being obtuse), and is likely to have angle ratios that correspond to those in Figure 1, given the vague description provided.

  4. Figure 4 does not match the characteristics either since the base and height dynamics differ.

Based on these observations, Figure 3 is the likely candidate for similarity due to its obtuse nature. Thus, the answer is:

Figure 3 is similar to Figure 1.