Difference between revisions of "Secant and tangent of a circle"
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===Objectives=== | ===Objectives=== | ||
#The secant is a line passing through a circle touching it at any two points on the circumference. | #The secant is a line passing through a circle touching it at any two points on the circumference. | ||
| − | #A tangent is a line | + | #A tangent is a line touching the circle at only one point on the circumference. |
===Estimated Time=== | ===Estimated Time=== | ||
| − | + | 30 minutes | |
===Prerequisites/Instructions, prior preparations, if any=== | ===Prerequisites/Instructions, prior preparations, if any=== | ||
| Line 10: | Line 10: | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
| − | + | * Digital : Computer, geogebra application, projector. | |
| − | + | * Non digital : Worksheet and pencil, compass, strings | |
| − | + | * Geogebra files : Lines in a circle.ggb | |
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
Revision as of 16:04, 7 May 2019
Objectives
- The secant is a line passing through a circle touching it at any two points on the circumference.
- A tangent is a line touching the circle at only one point on the circumference.
Estimated Time
30 minutes
Prerequisites/Instructions, prior preparations, if any
- The students should have a prior knowledge about a circle and its basic parts and terms.
- They should know the clear distinction between radius, diameter, chord, secant and tangent.
Materials/ Resources needed
- Digital : Computer, geogebra application, projector.
- Non digital : Worksheet and pencil, compass, strings
- Geogebra files : Lines in a circle.ggb
Process (How to do the activity)
- The teacher can show the geogebra file.
- Move the points on circumference and explain secant.
- When both endpoints of secant meet, it becomes a tangent.
- Name the points on the circumference of the circle.
- At how many points is the line touching the circle ?
- What is the line called ?
- Evaluation Questions
- What is the difference between the secant and a tangent?
- What is the difference between the chord and a secant ?
- Can you draw a secant touching 3 points on the circle ?
- At how many points does a tangent touch a circle ?
- How many tangents can be drawn to a circle ?
- How many tangents can be drawn to a circle at any one given point ?
- How many parallel tangents can a circle have at the most ?