# Unit 7 Study Guide ```Unit 7 Study Guide
Test Date: 5-05-2009
In this test you will be asked to demonstrate knowledge of the skills seen in sections 8-1 through 8-7. There
will be no proofs on this test and there will not be an essay.
-- In lieu of an essay, there will be five word problems. These will be applications of right triangles and
trigonometry. You will be required to draw all diagrams yourself.
Section 8-1 Geometric Mean:
Know how to apply Geometric Mean to right triangles:
The altitude is the Geometric Mean between …
Each leg is the Geometric Mean between …
Additional Practice: Use pg.304 #1, 2.
Section 8-2 Pythagorean Theorem:
Know how to apply the Pythagorean Theorem in order to solve for missing sides in a right triangle.
Also be able to apply properties of quadrilaterals in order to solve for missing lengths.
Additional Practice: Use pg.291 #13 – 18, pg.292 #13 - 18
Section 8-3 Converse to Pythagorean Theorem:
If c&sup2; = a&sup2; + b&sup2;, then the triangle is ______.
If c&sup2;  a&sup2; + b&sup2;, then the triangle is ______.
If c&sup2;  a&sup2; + b&sup2;, then the triangle is ______.
Also, be able to recognize Pythagorean Triples and multiples of triples.
Additional Practice: Use pg.297 #1 – 6.
Section 8-4 Special Right Triangles:
Know the properties of 30-60-90 Δs and how to apply them ( n : n
3 : 2n )
Know the properties of 45-45-90 Δs and how to apply them ( n : n : n
2 )
Additional Practice: Use pg.301 #1 - 9.
Section 8-5, 8-6 SOHCAHTOA:
Know how to apply SOHCAHTOA to right triangles in order to solve for missing side lengths.
Also be able to solve for missing angles using the inverse trig functions.
Be able to express trig values as decimals and in simplified radical/fractional form.
Additional Practice: Use pg.313 #1 – 2, pg.314 #1 – 9,
Section 8-7 Trig Word Problems:
Be able to apply SOHCAHTOA to solve basic and advanced word problems.
Additional Practice: Use pg.315 #15 – 16, pg.318 Written Exercises #1 - 2.
For additional practice for the test, use the Chapter Test found on pg.324 – 325 #1 – 27.
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