Ch. 10 Circles Sometimes Always Never Random 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 CH. 7 Right Triangles and Trigonometry Ch. 8 Quadrilaterals 10 Question 1 - 10 Find the geometric mean of 9 and 4 Answer 1 – 10 6 Question 1 - 20 Is √3, √4, √7 a Pythagorean triple Answer 1 – 20 NO, because Pythagorean triples need to be whole numbers! Question 1 - 30 • What is the pattern for a 45-45-90 triangle? • What is the pattern for 30-60-90 triangle? Answer 1 – 30 45 n 45 n 90 n√2 30 n 60 n√3 90 2n Question 1 - 40 Solve for x. Round to the nearest hundredth. 37 12 xo 35 Answer 1 – 40 You can use the inverse function of the trigonometric ratios. SOHCAHTOA 12 -1 sin ( ) 37 = 35 -1 cos ( ) 37 = 12 -1 tan ( ) 35 = 18.92 Question 1 - 50 Solve for x. 6 x 60o Answer 1 – 50 4√3 Question 2 - 10 Definition of a parallelogram. Answer 2 – 10 A quadrilateral with parallel opposite sides. Question 2 - 20 The interior angle sum formula for any convex polygon is? Answer 2 – 20 S=180(n-2) Question 2 - 30 The sum of exterior angles in any convex polygon is? Answer 2 – 30 360o Question 2 - 40 Determine if the quadrilateral is a parallelogram < < Answer 2 – 40 No, because the parallel side needs to be congruent as well. Question 2 - 50 The definition of a trapezoid? Answer 2 – 50 A trapezoid is a quadrilateral with exactly one pair of parallel sides. Question 3 - 10 An angle with its vertex as the center of a circle. Answer 3 – 10 Central angle Question 3 - 20 The definition of a tangent line Answer 3 – 20 A Line that intersects the circle exactly at one point (P.O.T). The tangent line is also perpendicular to the radius of the circle. Question 3 - 30 What is the equation of a circle? Answer 3 – 30 𝑟 2 = (𝑥 − ℎ)2 +(𝑦 − 𝑘)2 Question 3 - 40 The radius of a circle is 20 centimeters. Find the circumference. Need the exact answer! Answer 3 – 40 40π cm Question 3 - 50 • Write an equation of a circle with a center at ( 5, -2) with a diameter of 10. Answer 3 – 50 25 = (𝑥 − 5)2 +(𝑦 + 2)2 Question 4 - 10 A Rectangle is _______ a parallelogram Answer 4 – 10 Always Question 4 - 20 A Rhombus is ________ a square. Answer 4 – 20 Sometimes Question 4 - 30 A square is _______ a rectangle. Answer 4 – 30 Always Question 4 - 40 A quadrilateral is ________ a parallelogram Answer 4 – 40 Sometimes Question 4 - 50 A square is _________ a rhombus and a rectangle Answer 4 – 50 Always Question 5 - 10 • What are the properties of a parallelogram. Answer 5 – 10 1. 2. 3. 4. Both pairs of opp. sides are parallel and ≅ Both pairs of opp. angles are ≅ Consecutive angles are supplementary. Diagonals bisect each other Question 5 - 20 Given the trapezoid below find the length of the median. 16 25 Answer 5 – 20 20.5 unit Question 5 - 30 A regular pentagon is inscribed in a circle. What is the measure of one arc. Answer 5 – 30 o 72 Question 5 - 40 • Definition of a secant. Answer 5 – 40 A line that intersects a circle in exactly two points. Question 5 - 50 This person is famous for leading an expedition to the south pole on December 14, 1911. Answer 5 – 50 Who is Roald Amundsen