Similar Right Triangles

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Notes

Similar Right Triangles


Practice Problems

Solve for the variables.

\(\textbf{1)}\) Solve for x
Triangle for Question Number 1


\(\textbf{2)}\) Solve for y
Triangle for Question Number 2
\(\textbf{3)}\) Solve for z
Triangle for Question Number 3


\(\textbf{4)}\) Solve for x
Triangle for Question Number 4


\(\textbf{5)}\) Solve for y
Triangle for Question Number 5


\(\textbf{6)}\) Solve for z
Triangle for Question Number 6


\(\textbf{7)}\) Solve for x
Triangle for Question Number 7


\(\textbf{8)}\) Solve for z
Triangle for Question Number 8


\(\textbf{9)}\) Solve for x, y, and z
Triangle for Question Number 9


\(\textbf{10)}\) Solve for x
Triangle for Question Number 10


\(\textbf{11)}\) Solve for y
Triangle for Question Number 11


\(\textbf{12)}\) Solve for z
Triangle for Question Number 12


\(\textbf{13)}\) Solve for x
Triangle for Question Number 13


\(\textbf{14)}\) Solve for z
Triangle for Question Number 14


Challenge Problems

\(\textbf{15)}\) Solve for w, z, and x
Triangle for Question Number 15


\(\textbf{16)}\) Solve for x and z
Triangle for Question Number 16


\(\textbf{17)}\) Solve for x
Triangle for Question Number 17




\(\textbf{18)}\) Write the triangle similarity statement for all 3 triangles below.
Triangle for Question Number 18



See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ SideSplitter Theorem}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Geometric Mean}\)
\(\,\,\,\,\,\,\,\,\)


In Summary

Similar triangles have congruent corresponding angles, and proportional corresponding side lengths. Similar right triangles can be created when you drop an altitude from the right angle of a right triangle. This is typically studied in a high school geometry course. The geometric mean is usually introduced in this context.

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