Ok I don't understand how to find similar figures when using proportions. Can someone explain it to me?

Two figures that have the same shape are said to be similar.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

To determine if the triangles are similar, compare their corresponding sides.
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine the triangles shown are similar, compare their corresponding.

lets say your comparing a figure abc and def ato b is 6 and and a to c is 10.
de is 3 and d to f is 10. You would put ac over ab.Then df over de and you know its a proportion because both can be divided by 2

tHANK YOU SOOOO MUCH.

Find the ratio for the similar figure.

If the area ratio is 4:49,
what is the volume ratio?

455

You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.

You're welcome! I'm glad I could help you understand how to find similar figures using proportions.

In your example, you are comparing two triangles, ABC and DEF. You have given the lengths of their corresponding sides: AB = 6, AC = 10, DE = 3, and DF = 10.

To determine if the triangles are similar, you need to compare the ratios of the corresponding sides. In this case, you want to compare the ratio of the length of side AC to side AB with the ratio of the length of side DF to side DE.

To do this, you can set up a proportion by writing the ratios as fractions:

AC/AB = DE/DF

Now, substitute the given lengths into the equation:

10/6 = 3/10

Simplifying this proportion, you can divide both sides by 2:

5/3 = 3/5

Since the two sides of the equation are equal, you can conclude that the triangles ABC and DEF are similar.