MathematicsChapter 10: Tangents and Angles of a Circle
Tangents At Ends of A Diameter
Each is perp to the diameter.
Learning objectives
- Define and explain tangents at ends of a diameter.
- Apply tangents at ends of a diameter to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
Where / symbols
- Tangents At Ends Of A Diameter
- Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
Overview
Learn the idea, then use it:
Core Understanding
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
Examples parallel pair · touches at one point · radius perp tangent · TANGENTS AT ENDS OF A DIAMETER: Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
Exam Application
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
WHAT — TANGENTS AT ENDS OF A DIAMETER
Each is perp to the diameter. Two lines perp to the same line are parallel, so those tangents are parallel.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
In simple words
Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
Key points
- parallel pair
- touches at one point
- radius perp tangent
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Tangents At Ends of A Diameter
Sticky Notes · Quick Revision
Core Idea
- Each is perp to the diameter.
Key Points
- parallel pair
- touches at one point
- radius perp tangent
Simple Check
- Explain tangents at ends of a diameter in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge tangents at ends of a diameter with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- Each is perp to the diameter.
- parallel pair
- touches at one point
- radius perp tangent
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