Use the image to answer the question.

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

Answer 1

To determine which figure is similar to Figure 1, we need to analyze the properties of Figure 1 and compare them to the other figures.

Figure 1 is described as an obtuse triangle. Similar triangles have the same shape but may differ in size. One of the key characteristics of similar triangles is that their angles are equivalent.

• Figure 2: This is an isosceles triangle, which means its angles are not necessarily the same as those of Figure 1. Hence, they are not similar.

• Figure 3: It is an inverted obtuse triangle that is inclined. Although it is also obtuse, the position and angles may differ from Figure 1.

• Figure 4: This triangle extends within specific columns and rows but it does not match the description of an obtuse triangle due to its verticality and angles.

From analyzing the descriptions, none of the other figures match the obtuse triangle characteristics of Figure 1. However, since we are looking for similarity in shape, not just angle, we conclude:

Answer: None of the other figures match the specific obtuse triangle shape of Figure 1 closely enough; therefore, there is no explicitly similar triangle in this set. If pressed for one, Figure 3 may be the closest due to also being obtuse despite being inverted. Hence:

Figure 3 is the most similar to Figure 1.