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In the activity, you will see how a right triangle can be divided into two similar right triangles. 1 Cut an index card along one of its diagonals. 2 On one of the right triangles, draw an altitude from the right angle to the hypotenuse. Cut along the altitude to form two right triangles. 3 You should now have three right triangles.

Example: Identify the following in right triangle XYZ. Example: Write a similarity statement relating the three triangles in each diagram. Example: Find the geometric mean of each pair of numbers

The similarity of triangles, like their congruency, is an important concept of geometry. Click on the below images to test yourself on the properties of similar triangles.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. Find the missing length. The triangles in each pair are similar. Free trial available at KutaSoftware.com.

Conceptualize the right triangle similarity theorem with this collection of high school similar triangles worksheets. Write the similarity ratio of the right triangles using the known values to find the indicated length(s).

Cuemath experts have developed a set of similar right triangles worksheets that contain many solved examples as well as questions. These worksheets would help students to get their concepts clear and help them in exams.

Similar Right Triangles Find the missing length indicated. 1) x 36 100 2) x 36 100 3) x 9 16 4) x 9 25 5) 15 9 x 6) 12 x 16 7) 60 36 x 8) 48 36 x 9) 60 11 176 x 10) 24 9 x. Worksheet by Kuta Software LLC Geometry Name_____ Date_____ Period____ ©o M2g0u1L4L KEuIt Eab lS Io fmtCwwa2rReP SL HLVCA.v p oAUl3lV ur7i Rg 2hpt Qs5 SraepsWerSv HevdR.9 ...

Students will practice solving for side lengths of right similar triangles. This is a 4 part worksheet: Free worksheet (pdf) and answer key on solving for side lenghts of right similar triangles. 29 scaffolded shet that start relatively easy and end with some real challenges.

This Geometry Worksheet will produce eight problems for working with similar right triangles. You may select the types of side lengths used in each problem.