8 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Measurement Use the Pythagorean Theorem or trigonometric ratios to find a side length or angle measure of a right triangle. 2 Similarity A trigonometric ratio compares the lengths of two sides of a right triangle. The ratios remain constant within a group of similar right triangles.	The Pythagorean Theorem (Lesson 8-1) a 2 + b 2 = c 2 eh squared , plus , b squared , equals , c squared Trigonometry (Lesson 8-3)	Special Triangles (Lesson 8-2) c = a 2 c equals eh square root of 2 c = 2 a b = a 3 . table with 2 rows and 1 column , row1 column 1 , c equals 2 eh , row2 column 1 , b equals eh square root of 3 . , end table Angles of Elevation and Depression (Lesson 8-4)
3 Coordinate Geometry A vector is any quantity with magnitude and direction. You can represent a vector in the coordinate plane with an ordered pair.	Vectors (Lesson 8-5) vector 〈 left pointing angle bracket x, y〉 magnitude: x 2 + y 2 square root of x squared , plus , y squared end root direction: a ° eh degrees north of east

Chapter Vocabulary

• angle of depression (p. 516)
• angle of elevation (p. 516)
• cosine (p. 507)
• initial point (p. 524)
• magnitude (p. 524)
• Pythagorean triple (p. 492)
• resultant (p. 526)
• sine (p. 507)
• tangent (p. 507)
• terminal point (p. 524)
• trigonometric ratios (p. 507)
• vector (p. 524)

Choose the correct term to complete each sentence.

1. Any quantity that has magnitude and direction is called a(n) __?__.
2. A(n) __?__ is formed by a horizontal line and the line of sight above that line.
3. The sum of two vectors is the __?__.
4. A set of three nonzero whole numbers that satisfy a 2 + b 2 = c 2 eh squared , plus , b squared , equals , c squared form a(n) __?__.

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