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8-3 through 8-5 Vocabulary

Name: ___________________________________
Date: _______________________
Block: ____________
Across
(p. 572) Right triangles can often be solved using _________ methods.
(p. 572) If using calculated measures to find other measures in a right triangle, be careful not to _____ values until the last step.
(p. 558) The ________ of a square forms two congruent isosceles right triangles.
(p. 560) In a 30°-60°-90° triangle, the length of the hypotenuse h is ___ times the length of the shorter leg s, and the length of the longer leg ℓ is √(3) times the length of the shorter side.
(p. 580) An angle of ___________ is the angle formed by a horizontal line and an observer's line of sight to an object below the horizontal line.
(p. 560) So the shorter leg in a 30°-60°-90° triangle is opposite the 30° angle, and the ______ leg is opposite the 60° angle.
(p. 568) The word trigonometry comes from two Greek terms, trigon, meaning triangle, and metron, meaning _______.
(p. 568) A(n) _____________ ratio is a ratio of the lengths of two sides of a right triangle.
(p. 567) ____________ is the study of the patterns in all right triangles.
(p. 571) If you know the sine, cosine, or tangent of an acute angle, you can use a calculator to find the measure of the angle, which is the _______ of the trigonometric ratios.
(p. 558) Since the base angles of a(n) _________ triangle are congruent, the measure of each acute angle is 90 ÷ 2 or 45.
(p. 570) Be sure your graphing calculator is in _______ mode rather than radian mode.
(p. 568) The word trigonometry comes from two Greek terms, trigon, meaning ________, and metron, meaning measure.
(p. 569) SOH-CAH-TOA is a(n) ________ device for learning the ratios for sine, cosine, and tangent using the first letter of each word in the ratios.
Down
(p. 571) Be careful not to confuse this notation with negative _________.
(p. 572) To _____ a right triangle, you need to know two sides lengths OR one side length and the measure of one acute angle.
(p. 568) If △ABC is a right triangle with acute ∠A, then the _____ of ∠A (written sin A) is the ratio of the length of the leg opposite ∠A (opp) to the length of the hypotenuse (hyp).
(p. 568) (p. 568) If △ABC is a right triangle with acute ∠A, then the _______ of ∠A (written tan A) is the ratio of the length of the leg opposite ∠A (opp) to the leg adjacent ∠A (adj).
(p. 568) So, trigonometric ratios are ________ for a given angle measure.
(p. 559) rationalizing the ___________ - a method used to eliminate radicals from the ___________ of a fraction
(p. 558) You can use the Pythagorean Theorem to find a ____________ among the side lengths of a 45°-45°-90° right triangle.
(p. 580) ___________ lines are parallel, so the angle of elevation and the angle of depression in the diagram are congruent by the Alternate Interior Angles Theorem.
(p. 559) Notice that an altitude of an isosceles triangle is also a(n) ______ of the triangle.
(p. 581) To avoid mislabeling, remember that angles of elevation and depression are always formed with a horizontal line and never a(n) _______ line.
(p. 560) Remember, the shortest side of a triangle is opposite the ________ angle.
(p. 580) An angle of _________ is the angle formed by a horizontal line and an observer's line of sight to an object above the horizontal line.
(p. 568) If △ABC is a right triangle with acute ∠A, then the ______ of ∠A (written cos A) is the ratio of the length of the leg adjacent ∠A (adj) to the length of the hypotenuse (hyp).
(p. 558) In a 45°-45°-90° triangle, the legs ℓ are congruent and the length of the hypotenuse h is √(2) _____ the length of a leg.