Similar right triangles

Determine whether the following triangles are similar.

If yes, which theorem is used?

$$\overline{BD}$$ is the altitude to the hypotenuse of $$\Delta ABC$$ . If AD=25, BD=10, then what is AC? (draw the triangles and label).

AC = ​ ​ (a)  

Correctly match each based on the description.

The following similar right triangles are given.

Which similarity statement is correct?

$$\Delta DEF$$ is similar to $$\Delta ABC$$

Identify each of the following.

$$\angle E\cong$$ ​ (a)  

$$\overline{FD}\sim$$ ​ ​ (b)  

$$m\ of\ \overline{AC}=$$ ​ (c)  

$$\Delta GHI$$ is similar to $$\Delta ABC$$ .

Which statement is NOT true?

$$\Delta ABC\sim\Delta DBE$$

Find the value of x.

hint: split up the triangles to draw and label them separately.

Triangle ABC has two angles that measure 58° and 42°. Which of the following triangles will be

similar to triangle ABC?

The two rectangles are similar, which is the correct proportion for their corresponding parts.

select two correct answers

Find the geometric mean of the pair of numbers 36 and 9.

(a)