Similar Figures Practice

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An illustration shows a 12 by 8 grid with 3 isosceles triangles on it. Figure 1 extends from the top of the 3rd to the end of the 4th rows, and from the start of the 3rd to the end of the 4th columns. The base is 2 units and the perpendicular height is 2 units. Figure 2 extends from the top of the 3rd to the end of the 4th rows, and from the start of the 9th through the 10th columns. The base is 2 units and the perpendicular height is 2 units. Figure 3 extends from top of the 4th to the end of the 6th rows, and from the start of the 5th to end of the 8th columns. The base is 4 units in length and the perpendicular height is 3 units.

Which figure is similar to Figure 1?(1 point)
Figure
Remaining Attempts : 3
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Answer 1

To determine which figure is similar to Figure 1, we first need to understand the properties of Figure 1.

1. Figure 1:

   • Base: 2 units
   • Height: 2 units
   • This gives a ratio of base to height of 2:2 or 1:1.

2. Figure 2:

   • Base: 2 units
   • Height: 2 units
   • This gives a ratio of base to height of 2:2 or 1:1.
   • This figure has the same ratio of dimensions as Figure 1.

3. Figure 3:

   • Base: 4 units
   • Height: 3 units
   • This gives a ratio of base to height of 4:3.

Since similarity in geometric figures means that their corresponding sides are in proportion (and they have the same shape), we compare the ratios of Figure 1 and the other figures.

• Figure 1 and Figure 2 both have a base to height ratio of 1:1, so they are similar.
• Figure 3 has a different ratio of 4:3, so it is not similar to Figure 1.

Conclusion: The figure that is similar to Figure 1 is Figure 2.