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## Corresponding Angles of Similar of Triangles

#### Trigonometry - HSG-SRT.A.3

What are Corresponding Angles of Triangles? We know what similar figures are now, don't we? If you don't remember, we'll take a quick review. When two figures are exactly the same, with similar measurements and equal angles, ratios, they are known as similar figures. Let us take an example. When you draw two triangles with the exact measurements, they will have similar ratios and angles as well. Now, look at the corresponding sides of the triangle. The angles that they form are perfectly similar, and this set of angles is known as "The corresponding angle." Regardless of how rotated the triangles are, whenever their sides match, their matching corners will form angles, and they are known as corresponding angles. Corresponding angles are also formed in the matching corners of other different shapes. Squares, rectangles, and more, corresponding angles are formed in every shape! (NB) 166. What are Scale Factors? These worksheets show students how to locate and use corresponding angles to your advantage when you have two similar triangles.

### Printable Worksheets And Lessons  #### Homework Sheets

Find all the missing sides and angles that we see in the similar triangles.

• Homework 1 - We need to find the missing length.
• Homework 2 - You should remember that the sides of similar triangles are proportional.
• Homework 3 - Start by stating what you are looking for.

#### Practice Worksheets

These problems have some really significant real world value.

• Practice 1 - In the diagram below, ΔIJK ≈ ΔLMN. Find c.
• Practice 2 - The original diagram included a smaller triangle inside a larger triangle.
• Practice 3 - When two triangles are similar, we can find many different matching parts.

#### Math Skill Quizzes

Even though the quizzes are only 4 questions long, they can take a good bit of time to do.

• Quiz 1 - If BC=6, PQ=7, AB=10 and PR=8, find the value of QR.
• Quiz 2 - In the figure given, ΔMNO is similar to ΔHJI . If MN=16, HI=27, ON=22 and IJ=18, find the value of MO.
• Quiz 3 - Find all the missing sides.