8-1: Similarity in Right Triangles

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Similarity in Right Triangles

Similarity in Right Triangles

Similarity in Right Triangles

Similarity in Right Triangles

Presentation transcript:

8-1: Similarity in Right Triangles Objective Apply similarity relationships in right triangles to solve problems.

DRAW THE TRIANGLES SEPARATELY TO MAKE THIS AS EASY AS PROPORTIONS!

Example 1: Identifying Similar Right Triangles Write a similarity statement comparing the three triangles.

Example 2: Finding Side Lengths in Right Triangles Find x, y, and z.

Once you’ve found the unknown side lengths, you can use the Pythagorean Theorem to check your answers. Helpful Hint

Example 4: Measurement Application A surveyor positions himself so that his line of sight to the top of a cliff and his line of sight to the bottom form a right angle as shown. What is the height of the cliff to the nearest foot?

Pythagorean Theorem Proof #2 Turn in your workbook to page 325 for another proof of Pythagorean Theorem using triangle similarity! (know proof for exam)

8-1 Graded Classwork Workbook pg 327 #1, 10, 11, 15, 16 Honors also: Pg 328 #2, 4 Hint: 1 mile = 5280ft For #10, 11, and 15 leave answers as radicals (no decimals), simplest radical form not required. This is a GRADED assignment (completion of work) There will be no primary or secondary assignment for this section!