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Transcript

Geometry Unit #8 (right triangles, trig.) 1) G.SRT.8 I can use the Pythagorean Theorem to find a missing side of a right triangle. (8.1) PROOF OF UNDERSTANDING: 2) G.SRT.8 I can use the converse of the Pythagorean Theorem to prove or disprove a triangle is a right triangle. (8.1) PROOF OF UNDERSTANDING: What is the length of side c? _____________ Is the triangle above a right triangle? (Hint…change the radical into decimal form first to decide which side should be the longest side.) 3) I can label a right triangle with “opposite”, “adjacent”, and “hypotenuse”. (8.3, 8.4) PROOF OF UNDERSTANDING: 4) I can explain (in terms of SOH CAH TOA) what sine, cosine, and tangent mean. (8.3, 8.4) PROOF OF UNDERSTANDING: SIN = COS = TAN = Look at the 2 example triangles above. First locate the angles 60° and 35°. Then, label your triangles with H, O, and A. Geometry Unit #8 (right triangles, trig.) 5) G.SRT.8 I can use a trig ratio for sine, cosine or tangent to find the distance of a missing right triangle side. (8.3, 8.4) PROOF OF UNDERSTANDING: 6) G.SRT.8 I can use a trig ratio to find a missing angle measurement. sin(¯¹), cos (¯¹), tan (¯¹) (8.3, 8.4) PROOF OF UNDERSTANDING: θ° = ? X=? θ 7) G.SRT.10 I can find the missing side of a triangle when given SAS measures using the Law of Cosines. (p565) PROOF OF UNDERSTANDING: 8) G. SRT.6, G.SRT.10 I can use the Law of Sines to solve for the missing side lengths or angles of a triangle. (p565) PROOF OF UNDERSTANDING: =? =? Geometry Unit #8 (right triangles, trig.) 9) G.SRT.7 I can explain and use the relationship between the sine and cosine in terms of complementary angles. PROOF OF UNDERSTANDING: 10) I can explain the relationship between sin, cos, and tan on a unit circle. PROOF OF UNDERSTANDING: Explanation: _____________________________________ Explanation: _____________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ ________________________________________________ 11) G.SRT.9 I can find the area of a triangle with sides a and b and included angle C using the formula Area = (1/2) (ab) sin C. (10.5) PROOF OF UNDERSTANDING: 12) G.SRT.8 I can use angles of depression or elevation to help solve trig story problems. (8.5) PROOF OF UNDERSTANDING: Find the area of the non-right triangle below: If the distance from A to C is 200 m, and AC is parallel to BD, what is the height of the flagpole? Geometry Unit #8 (right triangles, trig.) 13) G.SRT.8 I can use Pythagorean Theorem or trig ratios to find missing side lengths or angle measures of a right triangle. B PROOF OF UNDERSTANDING: 14) G.SRT.8 I can graph a right triangle on the coordinate plane and find all missing angle and side measurements. PROOF OF UNDERSTANDING: The diagram shows equilateral triangle ABC sharing a side with square ACDE. The square has side lengths of 4. What is BE? Justify your answer. Graph triangle M (0,0); N (0,3); O (5,0). Find all side lengths and angle measures. A C E D Length of side MO: __________ Length of side MN: __________ Length of side ON: ___________ 15) I can correctly identify basic labels on a triangles – A,B,C representing angles and a,b,c representing the side opposite each angle. PROOF OF UNDERSTANDING: m<MNO: __________ m<NMO: __________ m<NOM: __________ 16) I can find the area of a regular polygon. (10.3, 10.5) PROOF OF UNDERSTANDING: Side a has a length of __________ What is the area of the pentagon above? Label angle A. Label angle B. Label side c.