Chp 8 Workbook

NAME DATE PERIOD
8 Anticipation Guide
Right Triangles and Trigonometry
Step 1
• Read each statement.
Before you begin Chapter 8
• Decide whether you Agree (A) or Disagree (D) with the statement.
• Write A or D in the first column OR if you are not sure whether you agree or disagree,
write NS (Not Sure).
Chapter Resources
STEP 1
A, D, or NS
Statement
1. The geometric mean between two numbers is the
positive square root of their product.
STEP 2
A or D
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Step 2
2. An altitude drawn from the right angle of a right
triangle to its hypotenuse separates the triangle into
two congruent triangles.
3. In a right triangle, the length of the hypotenuse is
equal to the sum of the lengths of the legs.
4. If any triangle has sides with lengths 3, 4, and 5,
then that triangle is a right triangle.
5. If the two acute angles of a right triangle are 45°,
then the length of the hypotenuse is √ 2 times the
length of either leg.
6. In any triangle whose angle measures are 30°, 60°,
and 90°, the hypotenuse is √ 3 times as long as the
shorter leg.
7. The sine ratio of an angle of a right triangle is equal
to the length of the adjacent side divided by the
length of the hypotenuse.
8. The tangent of an angle of a right triangle whose
sides have lengths 3, 4, and 5 will be smaller than the
tangent of an angle of a right triangle whose sides
have lengths 6, 8, and 10.
9. Trigonometric ratios can be used to solve problems
involving angles of elevation and angles of depression.
10. The Law of Sines can only be used in right triangles.
After you complete Chapter 8
• Reread each statement and complete the last column by entering an A or a D.
• Did any of your opinions about the statements change from the first column?
• For those statements that you mark with a D, use a piece of paper to write an example
of why you disagree.
Chapter 8 3 Glencoe Geometry