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EOC REVIEW #5 Monday Find the volume of the figure. Now, find the surface area. (Hint: Find the slant height of the pyramid.) 10 class days till EOC! Warm Up Reflections over Vertical Lines 1) Plot A(3,4) and reflect over x=5. 2) Plot B(8,2) and reflect over x=5. 3) Plot C(5,2) and reflect over x=9 and then over x=1. Find C’’. 4) Pl(-1,3) and reflect over x=-1. REMINDER Can you find a … Radius Diameter Tangent Chord REMINDER Central Angles Inscribed Angles The measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc. ACUTE angle OBTUSE angle Examples: ACUTE angle OBTUSE angle Checkpoint Quiz #1 Use your notes!! 1. 52 in. 2. 44 cm 3. 40 m 4. 6 5. 12 6. 7. 8. 9. 11.5 x = 37, y = 100 x = 116, y =88, z = 79 x = 120 Angle Measures and Segment Lengths Ch. 11.4 Toolkit Today’s Goal(s): 1. To find the measures of angles formed by chords, secants, and tangents. 2. To find the lengths of segments associated with circles. A secant is a line, ray, or segment that intersects a circle at two points. How do I find the measure of an angle formed by two lines that intersect: INSIDE a circle? Ex.1: Add the arcs & divide by two. How do I find the measure of an angle formed by two lines that intersect: OUTSIDE a circle? Ex.2: Subtract the arcs & divide by two. How do I find the lengths of segments formed by two lines that intersect? For a given point and circle, the product of the lengths of the two segments from the point to the circle is the same along any line through the point and circle. Ex.1: Two chords Always start at the point of intersection! Ex.2: Two secants Always start at the point of intersection! Ex.3: Secant & tangent Always start at the point of intersection! The tangent segment counts twice! Photography You focus your camera on a fountain. Your camera is at the vertex of the angle formed by tangents to the fountain. You estimate that this angle is 40. What is the measure of the arc of the circular basin of the fountain that will be in the photograph? Bridge Design The arch of the Taiko Bashi is an arc of a circle. A 14-ft chord is 4.8 ft from the edge of the circle. Find the radius of the circle. You Try… (continue with previous classwork) Geometry Book pg. 611 #’s 7 and 15