Lesson: Lines and Circles P

There are several parts to a circle There are several parts to a circle The center of the circle is called There are several parts to a circle The center of the circle is called There are several parts to a circle the center The center of the circle is called There are several parts to a circle the center center A line drawn from the center to the edge is called There are several parts to a circle A line drawn from the center to the edge is called There are several parts to a circle the radius A line drawn from the center to the edge is called There are several parts to a circle the radius radius ANY line drawn from the center to edge can be called There are several parts to a circle the radius radius ANY line drawn from the center to edge can be called There are several parts to a circle the radius radius ANY line drawn from the center to edge can be called radius There are several parts to a circle the radius radius A line drawn straight across the circle but goes There are several parts to a circle through the center is called A line drawn straight across the circle but goes There are several parts to a circle through the center is called a diameter A line drawn straight across the circle but goes There are several parts to a circle through the center is called diameter a diameter A diameter is really made up of two radii There are several parts to a circle diameter A diameter is really made up of two radii There are several parts to a circle radius diameter A diameter is really made up of two radii There are several parts to a circle radius diameter A diameter is really made up of two radii There are several parts to a circle so the diameter is twice as big as the radius radius diameter There are several parts to a circle radius ? diameter ? center ? Any line that goes from edge to edge Any line that goes from edge to edge is called a chord Any line that goes from edge to edge is called a chord chord Any line that goes from edge to edge is called a chord chord chord The diameter is also a type of chord Any line that goes from edge to edge is called a chord chord chord The diameter is also a type of chord Any line that goes from edge to edge is called a chord chord chord chord Any line that goes through the circle Any line that goes through the circle Any line that goes through the circle is called a secant Any line that goes through the circle secant is called a secant secant ? chord ? Any line that only touches the circle once Any line that only touches the circle once is called a tangent Any line that only touches the circle once is called a tangent tangent and the point where Any line that only touches the circle once it meets the circle is called a tangent tangent and the point where Any line that only touches the circle once it meets the circle is called a tangent tangent point of tangency is called the tangency and the point where Any line that only touches the circle once it meets the circle point of is called a tangent tangent point of tangency is called the radius ? chord ? diameter ? center ? tangent ? secant ? point of tangency ? If the diameter is 20 ft, how long is the radius? ft If the radius is 4 ft, how long is the diameter? ft If I draw a radius to the point of tangency If I draw a radius to the point of tangency tangency point of If I draw a radius to the point of tangency tangency point of If I draw a radius to the point of tangency tangency point of radius If I draw a radius to the point of tangency tangency point of the angle formed is a right angle radius If I draw a radius to the point of tangency tangency point of the angle formed is a right angle radius If I draw a radius to the point of tangency tangency point of the angle formed is a right angle right angle radius How many degrees is the angle ACB? o A C B D Two chords Two chords that are equal Two chords that are equal Two chords cut off equal arcs. that are equal Two chords cut off equal arcs. that are equal 5 5 7 If a chord If a chord If a chord is perpendicular to a radius If a chord is perpendicular to a radius If a chord then the radius bisects it. is perpendicular to a radius If a chord then the radius bisects it. is perpendicular to a radius If AE = 6 then DE = and AD = D B E C A If two tangents are drawn to a circle If two tangents are drawn to a circle If two tangents are drawn to a circle If two tangents are drawn to a circle If two tangents are drawn to a circle from the same point If two tangents are drawn to a circle from the same point they start at the same point If two tangents are drawn to a circle from the same point they are equal If two tangents are drawn to a circle from the same point they are equal 8 8 10 If two chords intersect in a circle If two chords intersect in a circle If two chords intersect in a circle If two chords intersect in a circle If two chords intersect in a circle the products of the segments of each line are equal If two chords intersect in a circle the products of the segments of each line are equal 8 4 x 5 If two chords intersect in a circle the products of the segments of each line are equal x and 8 are on on line 8 4 x 5 If two chords intersect in a circle the products of the segments of each line are equal x and 8 are on on line 8 4 x 5 8x = If two chords intersect in a circle the products of the segments of each line are equal x and 8 are on on line 4 and 5 are on one line 8 4 x 5 8x = If two chords intersect in a circle the products of the segments of each line are equal x and 8 are on on line 4 and 5 are on one line 8 4 x 5 8x = 4(5) If two chords intersect in a circle the products of the segments of each line are equal x and 8 are on on line 4 and 5 are on one line 8 4 x 5 8x = 4(5) 8x = 20 x = 20/8 If two chords intersect in a circle the products of the segments of each line are equal x and 8 are on on line 4 and 5 are on one line 8 4 x 5 8x = 4(5) 8x = 20 x = 20/8 x = 5/2 x = 4( ) x = x 4 2 6 If two secants intersect outside a circle If two secants intersect outside a circle the products of the outside segments and the whole line If two secants intersect outside a circle are equal the products of the outside segments and the whole line If two secants intersect outside a circle are equal 8 x 6 5 the products of the outside segments and the whole line On one secant, the outer part is 6 and the whole thing If two secants intersect outside a circle are equal is 14 8 x 6 5 the products of the outside segments and the whole line On one secant, the outer part is 6 and the whole thing If two secants intersect outside a circle are equal is 14 8 x 6 5 6(14) = the products of the outside segments and the whole line and x + 5 is On one secant, the outer part is 6 and the whole thing If two secants intersect outside a circle On the other secant the whole thing 5 is the outer are equal is 14 8 x 6 5 6(14) = the products of the outside segments and the whole line and x + 5 is On one secant, the outer part is 6 and the whole thing If two secants intersect outside a circle On the other secant the whole thing 5 is the outer are equal is 14 8 x 6 5 6(14) = 5 (x + 5) the products of the outside segments and the whole line and x + 5 is On one secant, the outer part is 6 and the whole thing If two secants intersect outside a circle On the other secant the whole thing 5 is the outer are equal is 14 8 x 6 5 6(14) = 5 (x + 5) 84 = 5x + 25 x = 11.8 Whole line: Inner part: Outer part: 8 12 If a circle has both a tangent and a secant If a circle has both a tangent and a secant 8 5 x If a circle has both a tangent and a secant use the outer and whole for the secant 8 5 x If a circle has both a tangent and a secant 5(x + 5) = use the outer and whole for the secant 8 5 x If a circle has both a tangent and a secant 5(x + 5) = use the outer and whole for the secant and square the length of the tangent 8 5 x If a circle has both a tangent and a secant 5(x + 5) = 8 ^{2}use the outer and whole for the secant and square the length of the tangent 8 5 x 5x + 25 = 64 If a circle has both a tangent and a secant 5(x + 5) = 8 ^{2}use the outer and whole for the secant and square the length of the tangent 8 5 x 5x + 25 = 64 x = 7.8 If a circle has both a tangent and a secant 5(x + 5) = 8 ^{2}use the outer and whole for the secant and square the length of the tangent 8 5 x |

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