Difference between revisions of "Secant and tangent of a circle"
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| − | + | A tangent is a line touching a circle in one point. A secant is the line through two distinct points on a circle. | |
| − | = | + | |
| + | ===Objectives=== | ||
| + | To understand tangent and secant of a circle. | ||
| + | |||
| + | ===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 : [https://ggbm.at/mfeqt8w4 Lines in a circle.ggb] | ||
| + | {{Geogebra|mfeqt8w4}} | ||
| − | == | + | ===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 ? | |
| − | + | __FORCETOC__ | |
| − | + | [[Category:Circles]] | |
| − | |||
| − | [ | ||
Latest revision as of 11:23, 7 November 2019
A tangent is a line touching a circle in one point. A secant is the line through two distinct points on a circle.
Objectives
To understand tangent and secant of a circle.
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
Download this geogebra file from this link.
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 ?